# Quizbank/College Physics Sem 1/T1

College Physics Sem 1/T1 ID153514416667

For more information visit **Quizbank/College Physics Sem 1**

**Exams: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**Answers: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**78 Tests = 3 versions x 26 variations: **Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

**Links:** Quizbank/Instructions Study guide file:QB-College Physics Sem 1-T1.pdf

*Contact me at* User talk:Guy vandegrift *if you need any help.*

### T1 A0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- a) 5.3 x 10
^{0}minutes - b) 7.07 x 10
^{0}minutes - c) 9.42 x 10
^{0}minutes - d) 1.26 x 10
^{1}minutes - e) 1.68 x 10
^{1}minutes

3) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

4) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

5) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 4.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 5.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 8.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 6.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 5.0 meters
- c) 4.0 meters
- d) 3.0 meters
- e) 7.0 meters

9) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 8.0 meters
- d) 12.0 meters
- e) 10.0 meters

10) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 13.0 meters
- c) 14.0 meters
- d) 17.0 meters
- e) 15.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

14) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.4 m/s.
- b) 36.7 m/s.
- c) 55 m/s.
- d) 82.5 m/s.
- e) 123.7 m/s.

#### T1 A1[edit]

1) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

- a) 9.78 x 10
^{0}minutes - b) 1.3 x 10
^{1}minutes - c) 1.74 x 10
^{1}minutes - d) 2.32 x 10
^{1}minutes - e) 3.09 x 10
^{1}minutes

3) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 12.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

5) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

6) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 15.0 meters
- c) 16.0 meters
- d) 13.0 meters
- e) 17.0 meters

8) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

9) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 6.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 4.0 meters

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 5.0 meters

14) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

15) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

#### T1 A2[edit]

1) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

2) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- a) 3.41 x 10
^{0}minutes - b) 4.54 x 10
^{0}minutes - c) 6.06 x 10
^{0}minutes - d) 8.08 x 10
^{0}minutes - e) 1.08 x 10
^{1}minutes

3) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 17.0 meters
- e) 16.0 meters

5) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 7.0 meters

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

7) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 12.0 meters
- d) 9.0 meters
- e) 11.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

9) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

10) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 5.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

13) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

14) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

15) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

### T1 B0[edit]

1) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- a) 2.07 x 10
^{-1}m/s^{2} - b) 3.68 x 10
^{-1}m/s^{2} - c) 6.54 x 10
^{-1}m/s^{2} - d) 1.16 x 10
^{0}m/s^{2} - e) 2.07 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

4) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

5) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 8.0 meters
- e) 9.0 meters

8) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 7.0 meters
- e) 8.0 meters

9) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 12.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 10.0 meters

10) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 15.0 meters
- c) 13.0 meters
- d) 17.0 meters
- e) 16.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 69.3 m/s.
- b) 83.2 m/s.
- c) 99.8 m/s.
- d) 119.8 m/s.
- e) 143.8 m/s.

#### T1 B1[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

2) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

3) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 5.0 meters
- c) 4.0 meters
- d) 7.0 meters
- e) 3.0 meters

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 15.0 meters
- b) 13.0 meters
- c) 14.0 meters
- d) 16.0 meters
- e) 17.0 meters

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 5.0 meters

7) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 8.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

10) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

11) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

12) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

13) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.85 x 10
^{0}miles per hour per second - b) 2.33 x 10
^{0}miles per hour per second - c) 2.93 x 10
^{0}miles per hour per second - d) 3.69 x 10
^{0}miles per hour per second - e) 4.64 x 10
^{0}miles per hour per second

14) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 12.0 meters

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 69.3 m/s.
- b) 83.2 m/s.
- c) 99.8 m/s.
- d) 119.8 m/s.
- e) 143.8 m/s.

#### T1 B2[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

2) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

3) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

5) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 12.0 meters
- d) 8.0 meters
- e) 11.0 meters

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

7) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

8) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

9) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 6.0 meters
- d) 8.0 meters
- e) 5.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 6.0 meters
- d) 4.0 meters
- e) 7.0 meters

11) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 16.0 meters
- e) 14.0 meters

12) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.85 x 10
^{0}miles per hour per second - b) 2.33 x 10
^{0}miles per hour per second - c) 2.93 x 10
^{0}miles per hour per second - d) 3.69 x 10
^{0}miles per hour per second - e) 4.64 x 10
^{0}miles per hour per second

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 7.0 meters

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

15) The Smith family got in trouble for having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 89.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 74.8 m/s.
- b) 89.8 m/s.
- c) 107.7 m/s.
- d) 129.3 m/s.
- e) 155.1 m/s.

### T1 C0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

2) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

3) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

4) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

5) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 11.0 meters
- c) 12.0 meters
- d) 9.0 meters
- e) 8.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 23.0 meters
- c) 21.0 meters
- d) 20.0 meters
- e) 22.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 6.0 meters
- d) 5.0 meters
- e) 7.0 meters

10) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

11) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.27 radians.
- b) 0.31 radians.
- c) 0.36 radians.
- d) 0.41 radians.
- e) 0.47 radians.

14) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 38.2 m/s.
- b) 45.9 m/s.
- c) 55 m/s.
- d) 66 m/s.
- e) 79.2 m/s.

#### T1 C1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 12.0 meters
- e) 8.0 meters

2) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

3) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

4) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

5) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 21.0 meters
- c) 20.0 meters
- d) 23.0 meters
- e) 22.0 meters

6) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 8.0 meters

8) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

10) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

11) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 12.0 meters
- e) 11.0 meters

12) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

14) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 53.4 m/s.
- b) 64 m/s.
- c) 76.9 m/s.
- d) 92.2 m/s.
- e) 110.7 m/s.

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 6.0 meters

#### T1 C2[edit]

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- a) 4.64 x 10
^{0}m/s^{2} - b) 8.26 x 10
^{0}m/s^{2} - c) 1.47 x 10
^{1}m/s^{2} - d) 2.61 x 10
^{1}m/s^{2} - e) 4.64 x 10
^{1}m/s^{2}

2) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 40.8 m/s.
- b) 48.9 m/s.
- c) 58.7 m/s.
- d) 70.4 m/s.
- e) 84.5 m/s.

3) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

4) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.4 m/s.
- b) 36.7 m/s.
- c) 55 m/s.
- d) 82.5 m/s.
- e) 123.7 m/s.

5) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

6) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 5.0 meters

7) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

8) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 12.0 meters
- d) 11.0 meters
- e) 9.0 meters

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 8.0 meters

10) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 20.0 meters
- c) 22.0 meters
- d) 23.0 meters
- e) 19.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.44 radians.
- b) 0.51 radians.
- c) 0.58 radians.
- d) 0.67 radians.
- e) 0.77 radians.

13) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 10.0 meters

14) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

15) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

### T1 D0[edit]

1) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- a) 1.16 x 10
^{1}minutes - b) 1.55 x 10
^{1}minutes - c) 2.07 x 10
^{1}minutes - d) 2.76 x 10
^{1}minutes - e) 3.68 x 10
^{1}minutes

2) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- a) 2.07 x 10
^{-1}m/s^{2} - b) 3.68 x 10
^{-1}m/s^{2} - c) 6.54 x 10
^{-1}m/s^{2} - d) 1.16 x 10
^{0}m/s^{2} - e) 2.07 x 10
^{0}m/s^{2}

3) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

4) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

5) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 7.0 meters
- e) 8.0 meters

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 12.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 8.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 3.0 meters

9) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 12.0 meters
- e) 11.0 meters

10) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 16.0 meters
- c) 17.0 meters
- d) 18.0 meters
- e) 20.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

14) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- a) 6.7 m/s.
- b) 10.1 m/s.
- c) 15.1 m/s.
- d) 22.7 m/s.
- e) 34.1 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 52.1 m/s.
- b) 78.1 m/s.
- c) 117.2 m/s.
- d) 175.7 m/s.
- e) 263.6 m/s.

#### T1 D1[edit]

1) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 34.2 m/s.
- b) 51.3 m/s.
- c) 77 m/s.
- d) 115.5 m/s.
- e) 173.3 m/s.

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- a) 7 m/s.
- b) 10.4 m/s.
- c) 15.7 m/s.
- d) 23.5 m/s.
- e) 35.3 m/s.

3) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 9.0 meters

4) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 12.0 meters
- e) 11.0 meters

5) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- a) 1.37 x 10
^{1}minutes - b) 1.82 x 10
^{1}minutes - c) 2.43 x 10
^{1}minutes - d) 3.24 x 10
^{1}minutes - e) 4.32 x 10
^{1}minutes

6) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 19.0 meters
- c) 17.0 meters
- d) 20.0 meters
- e) 18.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

9) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 7.0 meters
- d) 10.0 meters
- e) 8.0 meters

11) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

12) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 4.0 meters
- c) 3.0 meters
- d) 6.0 meters
- e) 5.0 meters

13) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

15) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

#### T1 D2[edit]

1) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 12.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 8.0 meters

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 6.0 meters

4) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

5) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- a) 1.37 x 10
^{1}minutes - b) 1.82 x 10
^{1}minutes - c) 2.43 x 10
^{1}minutes - d) 3.24 x 10
^{1}minutes - e) 4.32 x 10
^{1}minutes

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

7) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- a) 7 m/s.
- b) 10.4 m/s.
- c) 15.7 m/s.
- d) 23.5 m/s.
- e) 35.3 m/s.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 10.0 meters
- e) 8.0 meters

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

10) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

11) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

12) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

13) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 18.0 meters
- c) 20.0 meters
- d) 19.0 meters
- e) 16.0 meters

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

### T1 E0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

4) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

5) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 9.0 meters
- d) 6.0 meters
- e) 8.0 meters

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 4.0 meters
- e) 6.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 20.0 meters
- c) 19.0 meters
- d) 17.0 meters
- e) 18.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 2.0 meters
- d) 3.0 meters
- e) 1.0 meters

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 26.0 meters
- c) 23.0 meters
- d) 27.0 meters
- e) 24.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

#### T1 E1[edit]

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 4.0 meters
- e) 3.0 meters

2) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- a) 4.64 x 10
^{0}m/s^{2} - b) 8.26 x 10
^{0}m/s^{2} - c) 1.47 x 10
^{1}m/s^{2} - d) 2.61 x 10
^{1}m/s^{2} - e) 4.64 x 10
^{1}m/s^{2}

3) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 2.0 meters
- c) 3.0 meters
- d) 1.0 meters
- e) 4.0 meters

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 18.0 meters
- c) 16.0 meters
- d) 20.0 meters
- e) 19.0 meters

5) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

7) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 9.0 meters
- e) 8.0 meters

9) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 52.1 m/s.
- b) 78.1 m/s.
- c) 117.2 m/s.
- d) 175.7 m/s.
- e) 263.6 m/s.

10) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 27.0 meters
- b) 25.0 meters
- c) 23.0 meters
- d) 24.0 meters
- e) 26.0 meters

12) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

13) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- a) 0.26 s.
- b) 0.31 s.
- c) 0.37 s.
- d) 0.44 s.
- e) 0.53 s.

15) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

#### T1 E2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 8.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 9.0 meters

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 19.0 meters
- c) 18.0 meters
- d) 16.0 meters
- e) 20.0 meters

4) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 24.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 27.0 meters

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 2.0 meters
- c) 4.0 meters
- d) 1.0 meters
- e) 3.0 meters

6) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

8) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

9) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

10) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

11) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.85 x 10
^{0}miles per hour per second - b) 2.33 x 10
^{0}miles per hour per second - c) 2.93 x 10
^{0}miles per hour per second - d) 3.69 x 10
^{0}miles per hour per second - e) 4.64 x 10
^{0}miles per hour per second

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

13) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

14) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

### T1 F0[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

3) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.43m/s
^{2}. - b) 2.92m/s
^{2}. - c) 3.5m/s
^{2}. - d) 4.2m/s
^{2}. - e) 5.04m/s
^{2}.

4) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

6) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 7.0 meters
- d) 11.0 meters
- e) 9.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 22.0 meters
- c) 21.0 meters
- d) 23.0 meters
- e) 20.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 6.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 2.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 1.0 meters

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 25.0 meters
- c) 27.0 meters
- d) 24.0 meters
- e) 26.0 meters

11) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

- a) 2.87 m.
- b) 3.44 m.
- c) 4.13 m.
- d) 4.96 m.
- e) 5.95 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- a) 8.6 m/s.
- b) 12.9 m/s.
- c) 19.4 m/s.
- d) 29.1 m/s.
- e) 43.7 m/s.

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 34.2 m/s.
- b) 51.3 m/s.
- c) 77 m/s.
- d) 115.5 m/s.
- e) 173.3 m/s.

#### T1 F1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 27.0 meters
- c) 26.0 meters
- d) 24.0 meters
- e) 25.0 meters

2) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

3) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 20.0 meters
- c) 21.0 meters
- d) 22.0 meters
- e) 23.0 meters

4) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 2.0 meters
- b) 1.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

6) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- a) 8.6 m/s.
- b) 12.9 m/s.
- c) 19.4 m/s.
- d) 29.1 m/s.
- e) 43.7 m/s.

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

8) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 4.0 meters

10) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

11) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

12) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.94 x 10
^{0}miles per hour per second - b) 3.7 x 10
^{0}miles per hour per second - c) 4.66 x 10
^{0}miles per hour per second - d) 5.87 x 10
^{0}miles per hour per second - e) 7.39 x 10
^{0}miles per hour per second

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

14) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 10.0 meters
- e) 9.0 meters

15) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.4 m/s.
- b) 36.7 m/s.
- c) 55 m/s.
- d) 82.5 m/s.
- e) 123.7 m/s.

#### T1 F2[edit]

1) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- a) 0.26 s.
- b) 0.31 s.
- c) 0.37 s.
- d) 0.44 s.
- e) 0.53 s.

3) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

4) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 23.0 meters
- b) 20.0 meters
- c) 19.0 meters
- d) 21.0 meters
- e) 22.0 meters

5) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.5 m/s.
- b) 15.8 m/s.
- c) 23.7 m/s.
- d) 35.5 m/s.
- e) 53.2 m/s.

6) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 23.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 27.0 meters

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 2.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 1.0 meters
- e) 4.0 meters

9) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 11.0 meters

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

11) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

12) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

13) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

14) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 6.0 meters
- e) 4.0 meters

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- a) 7.1 m/s.
- b) 10.7 m/s.
- c) 16 m/s.
- d) 24 m/s.
- e) 36 m/s.

### T1 G0[edit]

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

4) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

5) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 7.0 meters
- c) 6.0 meters
- d) 5.0 meters
- e) 4.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 7.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 8.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 9.0 meters

9) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 23.0 meters
- c) 20.0 meters
- d) 21.0 meters
- e) 22.0 meters

10) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 11.0 meters
- d) 12.0 meters
- e) 10.0 meters

11) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.44 radians.
- b) 0.51 radians.
- c) 0.58 radians.
- d) 0.67 radians.
- e) 0.77 radians.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

- a) 9.8 m/s.
- b) 14.7 m/s.
- c) 22 m/s.
- d) 33 m/s.
- e) 49.5 m/s.

#### T1 G1[edit]

1) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

2) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

3) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 7.0 meters

5) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 6.0 meters
- e) 4.0 meters

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 11.0 meters

9) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

10) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

11) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 12.0 meters
- d) 11.0 meters
- e) 9.0 meters

12) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

13) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.9 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 31.1 m/s.
- b) 46.7 m/s.
- c) 70 m/s.
- d) 105 m/s.
- e) 157.5 m/s.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

15) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 20.0 meters
- c) 19.0 meters
- d) 23.0 meters
- e) 22.0 meters

#### T1 G2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 5.0 meters
- d) 9.0 meters
- e) 8.0 meters

2) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 22.0 meters
- b) 20.0 meters
- c) 23.0 meters
- d) 19.0 meters
- e) 21.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

4) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

5) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 5.0 meters
- d) 3.0 meters
- e) 4.0 meters

7) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

8) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

10) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 8.0 meters

12) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

13) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

14) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 12.0 meters
- e) 9.0 meters

15) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

### T1 H0[edit]

1) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.85 x 10
^{0}miles per hour per second - b) 2.33 x 10
^{0}miles per hour per second - c) 2.93 x 10
^{0}miles per hour per second - d) 3.69 x 10
^{0}miles per hour per second - e) 4.64 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

4) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

5) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 7.0 meters

7) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 7.0 meters

8) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 12.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 9.0 meters

9) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 18.0 meters
- c) 17.0 meters
- d) 19.0 meters
- e) 16.0 meters

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 27.0 meters
- b) 25.0 meters
- c) 26.0 meters
- d) 24.0 meters
- e) 23.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

#### T1 H1[edit]

1) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- a) 2.07 x 10
^{-1}m/s^{2} - b) 3.68 x 10
^{-1}m/s^{2} - c) 6.54 x 10
^{-1}m/s^{2} - d) 1.16 x 10
^{0}m/s^{2} - e) 2.07 x 10
^{0}m/s^{2}

2) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

3) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

4) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 11.0 meters
- e) 8.0 meters

5) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

6) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 53.4 m/s.
- b) 64 m/s.
- c) 76.9 m/s.
- d) 92.2 m/s.
- e) 110.7 m/s.

7) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- a) 0.43 s.
- b) 0.52 s.
- c) 0.62 s.
- d) 0.75 s.
- e) 0.9 s.

- a) 11.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 12.0 meters

11) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 19.0 meters
- c) 18.0 meters
- d) 17.0 meters
- e) 16.0 meters

12) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

13) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

14) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 26.0 meters
- c) 24.0 meters
- d) 27.0 meters
- e) 23.0 meters

15) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 11.0 meters

#### T1 H2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

2) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

3) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 26.0 meters
- b) 24.0 meters
- c) 27.0 meters
- d) 23.0 meters
- e) 25.0 meters

4) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

5) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

6) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

7) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

8) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

- a) 8.0 meters
- b) 12.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 11.0 meters

10) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

11) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 20.0 meters
- c) 16.0 meters
- d) 17.0 meters
- e) 18.0 meters

12) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

13) The Smith family got in trouble for having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 84.5 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 73.2 m/s.
- b) 87.8 m/s.
- c) 105.3 m/s.
- d) 126.4 m/s.
- e) 151.7 m/s.

14) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 7.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 11.0 meters

15) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 8.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 7.0 meters

### T1 I0[edit]

1) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

- a) 3.84 x 10
^{0}minutes - b) 5.12 x 10
^{0}minutes - c) 6.83 x 10
^{0}minutes - d) 9.11 x 10
^{0}minutes - e) 1.22 x 10
^{1}minutes

2) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

3) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

4) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

6) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 9.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 11.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 18.0 meters
- b) 19.0 meters
- c) 20.0 meters
- d) 16.0 meters
- e) 17.0 meters

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 2.0 meters
- c) 3.0 meters
- d) 1.0 meters
- e) 5.0 meters

9) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 26.0 meters
- c) 27.0 meters
- d) 23.0 meters
- e) 25.0 meters

- a) 14.0 meters
- b) 13.0 meters
- c) 17.0 meters
- d) 15.0 meters
- e) 16.0 meters

11) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

#### T1 I1[edit]

1) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

2) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

3) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

4) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

- a) 3.84 x 10
^{0}minutes - b) 5.12 x 10
^{0}minutes - c) 6.83 x 10
^{0}minutes - d) 9.11 x 10
^{0}minutes - e) 1.22 x 10
^{1}minutes

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 19.0 meters
- c) 18.0 meters
- d) 16.0 meters
- e) 20.0 meters

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 16.0 meters
- e) 14.0 meters

7) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

8) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

- a) 12.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 11.0 meters
- e) 9.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 2.0 meters
- b) 3.0 meters
- c) 5.0 meters
- d) 4.0 meters
- e) 1.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 27.0 meters
- c) 26.0 meters
- d) 24.0 meters
- e) 25.0 meters

12) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

14) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

#### T1 I2[edit]

1) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

3) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 18.0 meters
- c) 17.0 meters
- d) 16.0 meters
- e) 19.0 meters

5) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 8.0 meters

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 13.0 meters
- b) 15.0 meters
- c) 14.0 meters
- d) 17.0 meters
- e) 16.0 meters

7) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

8) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 27.0 meters
- c) 26.0 meters
- d) 23.0 meters
- e) 24.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 2.0 meters
- d) 1.0 meters
- e) 3.0 meters

10) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

11) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- a) 3.41 x 10
^{0}minutes - b) 4.54 x 10
^{0}minutes - c) 6.06 x 10
^{0}minutes - d) 8.08 x 10
^{0}minutes - e) 1.08 x 10
^{1}minutes

12) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

13) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

14) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

15) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

### T1 J0[edit]

1) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

4) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

5) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- a) 35.9 s
- b) 43.08 s
- c) 51.69 s
- d) 62.03 s
- e) 74.43 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 10.0 meters

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 12.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 11.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 20.0 meters
- c) 23.0 meters
- d) 19.0 meters
- e) 22.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 4.0 meters

- a) 26.0 meters
- b) 27.0 meters
- c) 25.0 meters
- d) 24.0 meters
- e) 23.0 meters

11) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

#### T1 J1[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 6.0 meters
- d) 3.0 meters
- e) 7.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

4) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 12.0 meters

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

6) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 22.0 meters
- c) 21.0 meters
- d) 20.0 meters
- e) 23.0 meters

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.24 radians.
- b) 0.27 radians.
- c) 0.31 radians.
- d) 0.36 radians.
- e) 0.41 radians.

8) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 26.0 meters
- b) 24.0 meters
- c) 27.0 meters
- d) 23.0 meters
- e) 25.0 meters

9) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

10) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 11.0 meters
- e) 9.0 meters

12) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

13) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- a) 8.6 m/s.
- b) 12.9 m/s.
- c) 19.4 m/s.
- d) 29.1 m/s.
- e) 43.7 m/s.

14) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

#### T1 J2[edit]

1) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

2) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 23.0 meters
- c) 19.0 meters
- d) 20.0 meters
- e) 22.0 meters

3) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

4) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 26.0 meters
- c) 27.0 meters
- d) 25.0 meters
- e) 24.0 meters

7) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

- a) 15.9 m/s.
- b) 23.9 m/s.
- c) 35.9 m/s.
- d) 53.8 m/s.
- e) 80.7 m/s.

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 8.0 meters

10) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

11) The Smith family got in trouble for having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 84.5 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 73.2 m/s.
- b) 87.8 m/s.
- c) 105.3 m/s.
- d) 126.4 m/s.
- e) 151.7 m/s.

12) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 12.0 meters
- d) 11.0 meters
- e) 9.0 meters

13) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 6.0 meters

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.24 radians.
- b) 0.27 radians.
- c) 0.31 radians.
- d) 0.36 radians.
- e) 0.41 radians.

15) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

### T1 K0[edit]

1) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

- a) 8.65 x 10
^{0}minutes - b) 1.15 x 10
^{1}minutes - c) 1.54 x 10
^{1}minutes - d) 2.05 x 10
^{1}minutes - e) 2.74 x 10
^{1}minutes

2) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

4) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

5) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 4.0 meters
- e) 3.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 6.0 meters
- d) 5.0 meters
- e) 7.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 4.0 meters

9) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 20.0 meters
- c) 18.0 meters
- d) 19.0 meters
- e) 17.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 2.0 meters
- c) 1.0 meters
- d) 5.0 meters
- e) 4.0 meters

11) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- a) 7.1 m/s.
- b) 10.7 m/s.
- c) 16 m/s.
- d) 24 m/s.
- e) 36 m/s.

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 34.2 m/s.
- b) 51.3 m/s.
- c) 77 m/s.
- d) 115.5 m/s.
- e) 173.3 m/s.

#### T1 K1[edit]

1) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- a) 6.7 m/s.
- b) 10.1 m/s.
- c) 15.1 m/s.
- d) 22.7 m/s.
- e) 34.1 m/s.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 18.0 meters
- c) 16.0 meters
- d) 19.0 meters
- e) 20.0 meters

3) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

5) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

6) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 4.0 meters
- e) 5.0 meters

7) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.4 m/s.
- b) 36.7 m/s.
- c) 55 m/s.
- d) 82.5 m/s.
- e) 123.7 m/s.

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 9.0 meters
- e) 8.0 meters

9) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- a) 1.16 x 10
^{1}minutes - b) 1.55 x 10
^{1}minutes - c) 2.07 x 10
^{1}minutes - d) 2.76 x 10
^{1}minutes - e) 3.68 x 10
^{1}minutes

10) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.43m/s
^{2}. - b) 2.92m/s
^{2}. - c) 3.5m/s
^{2}. - d) 4.2m/s
^{2}. - e) 5.04m/s
^{2}.

11) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 4.0 meters
- c) 5.0 meters
- d) 1.0 meters
- e) 2.0 meters

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 7.0 meters
- e) 5.0 meters

13) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

14) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

15) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

#### T1 K2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

2) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 7.0 meters
- e) 5.0 meters

4) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 2.0 meters
- d) 1.0 meters
- e) 3.0 meters

5) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

7) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

8) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 40.85 degrees.
- b) 46.98 degrees.
- c) 54.03 degrees.
- d) 62.13 degrees.
- e) 71.45 degrees.

9) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 20.0 meters
- c) 18.0 meters
- d) 16.0 meters
- e) 19.0 meters

10) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

11) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- a) 1.37 x 10
^{1}minutes - b) 1.82 x 10
^{1}minutes - c) 2.43 x 10
^{1}minutes - d) 3.24 x 10
^{1}minutes - e) 4.32 x 10
^{1}minutes

12) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

13) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 7.0 meters
- c) 6.0 meters
- d) 4.0 meters
- e) 3.0 meters

14) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 4.0 meters

### T1 L0[edit]

1) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

2) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 7.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 7.0 meters

- a) 5.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 8.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 6.0 meters

- a) 24.0 meters
- b) 23.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 27.0 meters

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

14) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

- a) 9.8 m/s.
- b) 14.7 m/s.
- c) 22 m/s.
- d) 33 m/s.
- e) 49.5 m/s.

#### T1 L1[edit]

1) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

2) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

3) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 27.0 meters
- b) 24.0 meters
- c) 25.0 meters
- d) 26.0 meters
- e) 23.0 meters

4) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

6) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 6.0 meters

8) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- a) 2.14 x 10
^{-1}m/s^{2} - b) 3.8 x 10
^{-1}m/s^{2} - c) 6.76 x 10
^{-1}m/s^{2} - d) 1.2 x 10
^{0}m/s^{2} - e) 2.14 x 10
^{0}m/s^{2}

9) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

10) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 6.0 meters
- e) 7.0 meters

13) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

14) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 4.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 3.0 meters

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

#### T1 L2[edit]

1) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 11.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 7.0 meters

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 4.0 meters

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 5.0 meters
- e) 9.0 meters

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

6) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

7) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- a) 8.6 m/s.
- b) 12.9 m/s.
- c) 19.4 m/s.
- d) 29.1 m/s.
- e) 43.7 m/s.

8) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 3.0 meters
- e) 4.0 meters

10) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- a) 2.26 x 10
^{-1}m/s^{2} - b) 4.02 x 10
^{-1}m/s^{2} - c) 7.15 x 10
^{-1}m/s^{2} - d) 1.27 x 10
^{0}m/s^{2} - e) 2.26 x 10
^{0}m/s^{2}

11) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

13) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 27.0 meters
- c) 24.0 meters
- d) 26.0 meters
- e) 23.0 meters

14) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

15) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

### T1 M0[edit]

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

- a) 8.65 x 10
^{0}minutes - b) 1.15 x 10
^{1}minutes - c) 1.54 x 10
^{1}minutes - d) 2.05 x 10
^{1}minutes - e) 2.74 x 10
^{1}minutes

3) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

4) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

5) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

6) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 20.0 meters
- c) 21.0 meters
- d) 22.0 meters
- e) 23.0 meters

7) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 18.0 meters
- c) 17.0 meters
- d) 20.0 meters
- e) 19.0 meters

9) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 25.0 meters
- c) 27.0 meters
- d) 26.0 meters
- e) 24.0 meters

- a) 15.0 meters
- b) 14.0 meters
- c) 13.0 meters
- d) 16.0 meters
- e) 17.0 meters

- a) 2.85 m.
- b) 3.42 m.
- c) 4.1 m.
- d) 4.92 m.
- e) 5.9 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 53.4 m/s.
- b) 64 m/s.
- c) 76.9 m/s.
- d) 92.2 m/s.
- e) 110.7 m/s.

#### T1 M1[edit]

1) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- a) 35.9 s
- b) 43.08 s
- c) 51.69 s
- d) 62.03 s
- e) 74.43 s

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 18.0 meters
- c) 19.0 meters
- d) 20.0 meters
- e) 17.0 meters

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 14.0 meters
- c) 15.0 meters
- d) 17.0 meters
- e) 13.0 meters

4) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 40.8 m/s.
- b) 48.9 m/s.
- c) 58.7 m/s.
- d) 70.4 m/s.
- e) 84.5 m/s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 25.0 meters
- b) 24.0 meters
- c) 27.0 meters
- d) 26.0 meters
- e) 23.0 meters

7) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

9) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 22.0 meters
- c) 19.0 meters
- d) 23.0 meters
- e) 20.0 meters

10) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

11) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 12.0 meters
- d) 10.0 meters
- e) 8.0 meters

12) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

13) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- a) 1.16 x 10
^{1}minutes - b) 1.55 x 10
^{1}minutes - c) 2.07 x 10
^{1}minutes - d) 2.76 x 10
^{1}minutes - e) 3.68 x 10
^{1}minutes

14) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

15) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

#### T1 M2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 14.0 meters
- c) 13.0 meters
- d) 15.0 meters
- e) 16.0 meters

2) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 23.0 meters
- b) 20.0 meters
- c) 21.0 meters
- d) 19.0 meters
- e) 22.0 meters

3) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

4) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

5) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

6) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

- a) 16.0 meters
- b) 18.0 meters
- c) 20.0 meters
- d) 17.0 meters
- e) 19.0 meters

8) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- a) 3.41 x 10
^{0}minutes - b) 4.54 x 10
^{0}minutes - c) 6.06 x 10
^{0}minutes - d) 8.08 x 10
^{0}minutes - e) 1.08 x 10
^{1}minutes

9) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 25.0 meters
- c) 26.0 meters
- d) 23.0 meters
- e) 27.0 meters

10) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 38.2 m/s.
- b) 45.9 m/s.
- c) 55 m/s.
- d) 66 m/s.
- e) 79.2 m/s.

11) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

12) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 10.0 meters

13) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

14) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

### T1 N0[edit]

1) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

2) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

3) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

4) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

5) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 3.0 meters
- e) 5.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 11.0 meters

8) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 12.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 4.0 meters

- a) 19.0 meters
- b) 20.0 meters
- c) 18.0 meters
- d) 16.0 meters
- e) 17.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 34.2 m/s.
- b) 51.3 m/s.
- c) 77 m/s.
- d) 115.5 m/s.
- e) 173.3 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 53.4 m/s.
- b) 64 m/s.
- c) 76.9 m/s.
- d) 92.2 m/s.
- e) 110.7 m/s.

#### T1 N1[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 7.0 meters
- e) 5.0 meters

3) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

- a) 20.0 meters
- b) 16.0 meters
- c) 18.0 meters
- d) 19.0 meters
- e) 17.0 meters

5) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

6) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 10.0 meters
- e) 11.0 meters

8) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

9) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

10) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

11) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 3.0 meters

13) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

14) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 12.0 meters
- e) 8.0 meters

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.27 radians.
- b) 0.31 radians.
- c) 0.36 radians.
- d) 0.41 radians.
- e) 0.47 radians.

#### T1 N2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 17.0 meters
- c) 18.0 meters
- d) 20.0 meters
- e) 19.0 meters

2) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- a) 2.26 x 10
^{-1}m/s^{2} - b) 4.02 x 10
^{-1}m/s^{2} - c) 7.15 x 10
^{-1}m/s^{2} - d) 1.27 x 10
^{0}m/s^{2} - e) 2.26 x 10
^{0}m/s^{2}

3) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 52.1 m/s.
- b) 78.1 m/s.
- c) 117.2 m/s.
- d) 175.7 m/s.
- e) 263.6 m/s.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 4.0 meters

5) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

6) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- a) 0.55m/s/s.
- b) 0.66m/s/s.
- c) 0.79m/s/s.
- d) 0.94m/s/s.
- e) 1.13m/s/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 4.0 meters
- c) 5.0 meters
- d) 3.0 meters
- e) 6.0 meters

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 7.0 meters
- e) 10.0 meters

9) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

10) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

11) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

14) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

15) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

### T1 O0[edit]

1) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- a) 1.16 x 10
^{1}minutes - b) 1.55 x 10
^{1}minutes - c) 2.07 x 10
^{1}minutes - d) 2.76 x 10
^{1}minutes - e) 3.68 x 10
^{1}minutes

3) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

4) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

5) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- a) 35.9 s
- b) 43.08 s
- c) 51.69 s
- d) 62.03 s
- e) 74.43 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 8.0 meters

- a) 5.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 9.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 22.0 meters
- c) 23.0 meters
- d) 21.0 meters
- e) 19.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 4.0 meters

- a) 12.0 meters
- b) 9.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

#### T1 O1[edit]

1) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

- a) 20.0 meters
- b) 21.0 meters
- c) 22.0 meters
- d) 23.0 meters
- e) 19.0 meters

3) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

4) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

5) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

6) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- a) 9.07 x 10
^{-1}m/s^{2} - b) 1.61 x 10
^{0}m/s^{2} - c) 2.87 x 10
^{0}m/s^{2} - d) 5.1 x 10
^{0}m/s^{2} - e) 9.07 x 10
^{0}m/s^{2}

7) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

8) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 53.4 m/s.
- b) 64 m/s.
- c) 76.9 m/s.
- d) 92.2 m/s.
- e) 110.7 m/s.

- a) 8.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 12.0 meters

10) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 11.0 meters

13) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 4.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 5.0 meters

14) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- a) 1.16 x 10
^{1}minutes - b) 1.55 x 10
^{1}minutes - c) 2.07 x 10
^{1}minutes - d) 2.76 x 10
^{1}minutes - e) 3.68 x 10
^{1}minutes

15) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 5.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 6.0 meters

#### T1 O2[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

2) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

3) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 23.0 meters
- b) 19.0 meters
- c) 20.0 meters
- d) 21.0 meters
- e) 22.0 meters

4) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

5) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 38.2 m/s.
- b) 45.9 m/s.
- c) 55 m/s.
- d) 66 m/s.
- e) 79.2 m/s.

6) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- a) 5.3 x 10
^{0}minutes - b) 7.07 x 10
^{0}minutes - c) 9.42 x 10
^{0}minutes - d) 1.26 x 10
^{1}minutes - e) 1.68 x 10
^{1}minutes

7) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.9 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 31.1 m/s.
- b) 46.7 m/s.
- c) 70 m/s.
- d) 105 m/s.
- e) 157.5 m/s.

8) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 12.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 11.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 7.0 meters

10) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- a) 9.07 x 10
^{-1}m/s^{2} - b) 1.61 x 10
^{0}m/s^{2} - c) 2.87 x 10
^{0}m/s^{2} - d) 5.1 x 10
^{0}m/s^{2} - e) 9.07 x 10
^{0}m/s^{2}

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 7.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 10.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 7.0 meters

13) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

14) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

### T1 P0[edit]

1) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- a) 2.26 x 10
^{-1}m/s^{2} - b) 4.02 x 10
^{-1}m/s^{2} - c) 7.15 x 10
^{-1}m/s^{2} - d) 1.27 x 10
^{0}m/s^{2} - e) 2.26 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

4) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 10.0 meters
- e) 9.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 23.0 meters
- c) 21.0 meters
- d) 19.0 meters
- e) 22.0 meters

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 19.0 meters
- c) 20.0 meters
- d) 18.0 meters
- e) 17.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 5.0 meters
- c) 4.0 meters
- d) 1.0 meters
- e) 2.0 meters

- a) 25.0 meters
- b) 27.0 meters
- c) 23.0 meters
- d) 26.0 meters
- e) 24.0 meters

11) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 40.85 degrees.
- b) 46.98 degrees.
- c) 54.03 degrees.
- d) 62.13 degrees.
- e) 71.45 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

14) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- a) 7 m/s.
- b) 10.4 m/s.
- c) 15.7 m/s.
- d) 23.5 m/s.
- e) 35.3 m/s.

#### T1 P1[edit]

1) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

*magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 20.0 meters
- c) 18.0 meters
- d) 17.0 meters
- e) 19.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.27 radians.
- b) 0.31 radians.
- c) 0.36 radians.
- d) 0.41 radians.
- e) 0.47 radians.

5) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 23.0 meters
- c) 27.0 meters
- d) 26.0 meters
- e) 25.0 meters

6) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

7) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

8) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 8.0 meters
- c) 11.0 meters
- d) 7.0 meters
- e) 9.0 meters

10) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

11) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- a) 6.7 m/s.
- b) 10.1 m/s.
- c) 15.1 m/s.
- d) 22.7 m/s.
- e) 34.1 m/s.

12) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 22.0 meters
- c) 20.0 meters
- d) 19.0 meters
- e) 23.0 meters

13) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 4.0 meters
- c) 2.0 meters
- d) 1.0 meters
- e) 5.0 meters

14) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

#### T1 P2[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

3) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

4) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- a) 6.7 m/s.
- b) 10.1 m/s.
- c) 15.1 m/s.
- d) 22.7 m/s.
- e) 34.1 m/s.

5) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 7.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 11.0 meters

6) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

7) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

8) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

- a) 27.0 meters
- b) 25.0 meters
- c) 26.0 meters
- d) 23.0 meters
- e) 24.0 meters

10) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

11) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 16.0 meters
- c) 20.0 meters
- d) 18.0 meters
- e) 17.0 meters

13) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

14) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 1.0 meters
- c) 2.0 meters
- d) 4.0 meters
- e) 5.0 meters

15) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 23.0 meters
- c) 20.0 meters
- d) 19.0 meters
- e) 22.0 meters

### T1 Q0[edit]

1) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

2) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- a) 4.65 m/s.
- b) 5.58 m/s.
- c) 6.69 m/s.
- d) 8.03 m/s.
- e) 9.64 m/s.

4) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

5) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 9.0 meters
- c) 12.0 meters
- d) 11.0 meters
- e) 10.0 meters

7) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 7.0 meters
- e) 10.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 6.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 2.0 meters
- b) 1.0 meters
- c) 4.0 meters
- d) 3.0 meters
- e) 5.0 meters

- a) 15.0 meters
- b) 14.0 meters
- c) 13.0 meters
- d) 17.0 meters
- e) 16.0 meters

11) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

- a) 9.8 m/s.
- b) 14.7 m/s.
- c) 22 m/s.
- d) 33 m/s.
- e) 49.5 m/s.

#### T1 Q1[edit]

1) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 1.0 meters
- c) 4.0 meters
- d) 2.0 meters
- e) 3.0 meters

2) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 4.0 meters

4) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

5) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

6) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- a) 7.1 m/s.
- b) 10.7 m/s.
- c) 16 m/s.
- d) 24 m/s.
- e) 36 m/s.

7) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- a) 2.07 x 10
^{-1}m/s^{2} - b) 3.68 x 10
^{-1}m/s^{2} - c) 6.54 x 10
^{-1}m/s^{2} - d) 1.16 x 10
^{0}m/s^{2} - e) 2.07 x 10
^{0}m/s^{2}

8) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 10.0 meters

11) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 7.0 meters

12) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 13.0 meters
- c) 17.0 meters
- d) 15.0 meters
- e) 16.0 meters

14) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

15) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

#### T1 Q2[edit]

1) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

2) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

3) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 1.0 meters
- c) 3.0 meters
- d) 2.0 meters
- e) 5.0 meters

4) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

5) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- a) 0.5m/s/s.
- b) 0.61m/s/s.
- c) 0.73m/s/s.
- d) 0.87m/s/s.
- e) 1.05m/s/s.

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- a) 8.8 m/s.
- b) 13.1 m/s.
- c) 19.7 m/s.
- d) 29.6 m/s.
- e) 44.3 m/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 6.0 meters

8) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

9) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

10) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

12) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 12.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 11.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 17.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 14.0 meters
- e) 16.0 meters

15) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

### T1 R0[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

2) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- a) 1.99 x 10
^{-1}m/s^{2} - b) 3.53 x 10
^{-1}m/s^{2} - c) 6.28 x 10
^{-1}m/s^{2} - d) 1.12 x 10
^{0}m/s^{2} - e) 1.99 x 10
^{0}m/s^{2}

3) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

4) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 7.0 meters
- e) 9.0 meters

- a) 11.0 meters
- b) 8.0 meters
- c) 12.0 meters
- d) 9.0 meters
- e) 10.0 meters

- a) 8.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 6.0 meters

9) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 22.0 meters
- b) 23.0 meters
- c) 19.0 meters
- d) 21.0 meters
- e) 20.0 meters

- a) 13.0 meters
- b) 17.0 meters
- c) 14.0 meters
- d) 16.0 meters
- e) 15.0 meters

11) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

#### T1 R1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 12.0 meters
- e) 8.0 meters

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

3) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 23.0 meters
- b) 21.0 meters
- c) 19.0 meters
- d) 20.0 meters
- e) 22.0 meters

4) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

5) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 8.0 meters

7) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

- a) 14.0 meters
- b) 15.0 meters
- c) 16.0 meters
- d) 17.0 meters
- e) 13.0 meters

9) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

10) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

11) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- a) 2.26 x 10
^{-1}m/s^{2} - b) 4.02 x 10
^{-1}m/s^{2} - c) 7.15 x 10
^{-1}m/s^{2} - d) 1.27 x 10
^{0}m/s^{2} - e) 2.26 x 10
^{0}m/s^{2}

12) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 5.0 meters

14) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

15) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

#### T1 R2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

3) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

- a) 16.0 meters
- b) 13.0 meters
- c) 15.0 meters
- d) 14.0 meters
- e) 17.0 meters

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 9.0 meters

6) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- a) 45.27 s
- b) 54.32 s
- c) 65.18 s
- d) 78.22 s
- e) 93.86 s

7) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

8) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

9) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 11.0 meters

11) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

12) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

13) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 22.0 meters
- b) 20.0 meters
- c) 19.0 meters
- d) 21.0 meters
- e) 23.0 meters

15) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

### T1 S0[edit]

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- a) 4.64 x 10
^{0}m/s^{2} - b) 8.26 x 10
^{0}m/s^{2} - c) 1.47 x 10
^{1}m/s^{2} - d) 2.61 x 10
^{1}m/s^{2} - e) 4.64 x 10
^{1}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

5) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 4.0 meters

- a) 8.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 11.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

- a) 12.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 8.0 meters

- a) 16.0 meters
- b) 15.0 meters
- c) 14.0 meters
- d) 13.0 meters
- e) 17.0 meters

11) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- a) 6.57 m.
- b) 7.88 m.
- c) 9.46 m.
- d) 11.35 m.
- e) 13.62 m.

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- a) 7.1 m/s.
- b) 10.7 m/s.
- c) 16 m/s.
- d) 24 m/s.
- e) 36 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

#### T1 S1[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 6.0 meters

3) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- a) 0.85m/s/s.
- b) 1.01m/s/s.
- c) 1.22m/s/s.
- d) 1.46m/s/s.
- e) 1.75m/s/s.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 5.0 meters
- e) 7.0 meters

5) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.4 m/s.
- b) 36.7 m/s.
- c) 55 m/s.
- d) 82.5 m/s.
- e) 123.7 m/s.

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 13.0 meters
- b) 14.0 meters
- c) 17.0 meters
- d) 15.0 meters
- e) 16.0 meters

7) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.43m/s
^{2}. - b) 2.92m/s
^{2}. - c) 3.5m/s
^{2}. - d) 4.2m/s
^{2}. - e) 5.04m/s
^{2}.

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.24 radians.
- b) 0.27 radians.
- c) 0.31 radians.
- d) 0.36 radians.
- e) 0.41 radians.

9) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- a) 9.07 x 10
^{-1}m/s^{2} - b) 1.61 x 10
^{0}m/s^{2} - c) 2.87 x 10
^{0}m/s^{2} - d) 5.1 x 10
^{0}m/s^{2} - e) 9.07 x 10
^{0}m/s^{2}

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.9 m/s. What was the muzzle speed of her bullet?

- a) 16.1 m/s.
- b) 24.2 m/s.
- c) 36.3 m/s.
- d) 54.5 m/s.
- e) 81.7 m/s.

11) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 8.0 meters

12) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

13) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

14) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

15) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 8.0 meters

#### T1 S2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 7.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

3) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- a) 7.1 m/s.
- b) 10.7 m/s.
- c) 16 m/s.
- d) 24 m/s.
- e) 36 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.24 radians.
- b) 0.27 radians.
- c) 0.31 radians.
- d) 0.36 radians.
- e) 0.41 radians.

5) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

6) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

7) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 12.0 meters
- e) 9.0 meters

8) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

9) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 7.0 meters
- e) 9.0 meters

10) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

11) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 6.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 16.0 meters
- b) 17.0 meters
- c) 14.0 meters
- d) 13.0 meters
- e) 15.0 meters

13) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

14) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

15) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

### T1 T0[edit]

1) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- a) 9.07 x 10
^{-1}m/s^{2} - b) 1.61 x 10
^{0}m/s^{2} - c) 2.87 x 10
^{0}m/s^{2} - d) 5.1 x 10
^{0}m/s^{2} - e) 9.07 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

4) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

5) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- a) 52.36 s
- b) 62.83 s
- c) 75.4 s
- d) 90.47 s
- e) 108.57 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 7.0 meters
- e) 11.0 meters

- a) 6.0 meters
- b) 5.0 meters
- c) 9.0 meters
- d) 7.0 meters
- e) 8.0 meters

8) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 7.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 10.0 meters

- a) 8.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 12.0 meters

- a) 25.0 meters
- b) 26.0 meters
- c) 24.0 meters
- d) 23.0 meters
- e) 27.0 meters

- a) 2.75 m.
- b) 3.3 m.
- c) 3.96 m.
- d) 4.75 m.
- e) 5.7 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

14) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.8 m/s.
- b) 37.2 m/s.
- c) 55.8 m/s.
- d) 83.7 m/s.
- e) 125.5 m/s.

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

#### T1 T1[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 7.0 meters

3) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 8.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

5) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 23.0 meters
- c) 25.0 meters
- d) 26.0 meters
- e) 27.0 meters

7) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

- a) 12.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 9.0 meters

9) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 11.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 8.0 meters

11) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 35.8 m/s.
- b) 42.9 m/s.
- c) 51.5 m/s.
- d) 61.8 m/s.
- e) 74.1 m/s.

12) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

13) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

14) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

#### T1 T2[edit]

1) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 8.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 5.0 meters
- e) 6.0 meters

3) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- a) 1.11 x 10
^{0}m/s^{2} - b) 1.97 x 10
^{0}m/s^{2} - c) 3.5 x 10
^{0}m/s^{2} - d) 6.23 x 10
^{0}m/s^{2} - e) 1.11 x 10
^{1}m/s^{2}

4) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

5) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 8.0 meters

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 7.0 meters

7) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

8) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

9) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.44 radians.
- b) 0.51 radians.
- c) 0.58 radians.
- d) 0.67 radians.
- e) 0.77 radians.

- a) 12.0 meters
- b) 9.0 meters
- c) 10.0 meters
- d) 11.0 meters
- e) 8.0 meters

12) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 25.0 meters
- c) 27.0 meters
- d) 24.0 meters
- e) 26.0 meters

13) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

14) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 69.3 m/s.
- b) 83.2 m/s.
- c) 99.8 m/s.
- d) 119.8 m/s.
- e) 143.8 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

### T1 U0[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- a) 8.07 x 10
^{-1}m/s^{2} - b) 1.43 x 10
^{0}m/s^{2} - c) 2.55 x 10
^{0}m/s^{2} - d) 4.54 x 10
^{0}m/s^{2} - e) 8.07 x 10
^{0}m/s^{2}

2) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

4) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 12.0 meters
- d) 8.0 meters
- e) 11.0 meters

- a) 9.0 meters
- b) 8.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 7.0 meters

- a) 16.0 meters
- b) 17.0 meters
- c) 19.0 meters
- d) 20.0 meters
- e) 18.0 meters

- a) 23.0 meters
- b) 27.0 meters
- c) 24.0 meters
- d) 26.0 meters
- e) 25.0 meters

- a) 17.0 meters
- b) 16.0 meters
- c) 15.0 meters
- d) 13.0 meters
- e) 14.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 36.26 degrees.
- b) 41.7 degrees.
- c) 47.96 degrees.
- d) 55.15 degrees.
- e) 63.43 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- a) 0.48 s.
- b) 0.57 s.
- c) 0.69 s.
- d) 0.83 s.
- e) 0.99 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

14) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

#### T1 U1[edit]

1) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

2) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

3) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- a) 4.64 x 10
^{0}m/s^{2} - b) 8.26 x 10
^{0}m/s^{2} - c) 1.47 x 10
^{1}m/s^{2} - d) 2.61 x 10
^{1}m/s^{2} - e) 4.64 x 10
^{1}m/s^{2}

4) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 25.0 meters
- c) 27.0 meters
- d) 23.0 meters
- e) 26.0 meters

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 20.0 meters
- b) 17.0 meters
- c) 19.0 meters
- d) 16.0 meters
- e) 18.0 meters

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

7) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 34.2 m/s.
- b) 51.3 m/s.
- c) 77 m/s.
- d) 115.5 m/s.
- e) 173.3 m/s.

8) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 11.0 meters
- d) 10.0 meters
- e) 8.0 meters

- a) 15.0 meters
- b) 14.0 meters
- c) 16.0 meters
- d) 17.0 meters
- e) 13.0 meters

10) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 12.0 meters
- e) 10.0 meters

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- a) 0.43 s.
- b) 0.52 s.
- c) 0.62 s.
- d) 0.75 s.
- e) 0.9 s.

13) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

14) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

15) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 26.14 degrees.
- b) 30.07 degrees.
- c) 34.58 degrees.
- d) 39.76 degrees.
- e) 45.73 degrees.

#### T1 U2[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

2) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

4) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 26.0 meters
- c) 23.0 meters
- d) 27.0 meters
- e) 25.0 meters

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

6) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

7) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- a) 46.15 s
- b) 55.38 s
- c) 66.46 s
- d) 79.75 s
- e) 95.7 s

8) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 40.8 m/s.
- b) 48.9 m/s.
- c) 58.7 m/s.
- d) 70.4 m/s.
- e) 84.5 m/s.

9) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

10) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 11.0 meters

- a) 18.0 meters
- b) 16.0 meters
- c) 20.0 meters
- d) 17.0 meters
- e) 19.0 meters

12) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
- c) 10.0 meters
- d) 9.0 meters
- e) 12.0 meters

13) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 13.0 meters
- b) 17.0 meters
- c) 14.0 meters
- d) 16.0 meters
- e) 15.0 meters

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.27 radians.
- b) 0.31 radians.
- c) 0.36 radians.
- d) 0.41 radians.
- e) 0.47 radians.

### T1 V0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- a) 3.36 x 10
^{0}miles per hour per second - b) 4.24 x 10
^{0}miles per hour per second - c) 5.33 x 10
^{0}miles per hour per second - d) 6.71 x 10
^{0}miles per hour per second - e) 8.45 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

4) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

5) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 11.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 9.0 meters

- a) 8.0 meters
- b) 6.0 meters
- c) 5.0 meters
- d) 7.0 meters
- e) 9.0 meters

- a) 10.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 11.0 meters

- a) 22.0 meters
- b) 19.0 meters
- c) 21.0 meters
- d) 23.0 meters
- e) 20.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 2.0 meters
- c) 5.0 meters
- d) 1.0 meters
- e) 4.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.16 radians.
- b) 0.19 radians.
- c) 0.22 radians.
- d) 0.25 radians.
- e) 0.29 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

#### T1 V1[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 40.85 degrees.
- b) 46.98 degrees.
- c) 54.03 degrees.
- d) 62.13 degrees.
- e) 71.45 degrees.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 8.0 meters
- d) 11.0 meters
- e) 9.0 meters

3) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

4) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- a) 6.66 m/s.
- b) 7.99 m/s.
- c) 9.59 m/s.
- d) 11.5 m/s.
- e) 13.8 m/s.

5) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 21.0 meters
- b) 20.0 meters
- c) 23.0 meters
- d) 22.0 meters
- e) 19.0 meters

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

7) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 1.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 2.0 meters

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

10) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 8.0 meters
- b) 10.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 11.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.27 radians.
- b) 0.31 radians.
- c) 0.36 radians.
- d) 0.41 radians.
- e) 0.47 radians.

12) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

13) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 5.0 meters
- b) 8.0 meters
- c) 6.0 meters
- d) 9.0 meters
- e) 7.0 meters

15) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.94 x 10
^{0}miles per hour per second - b) 3.7 x 10
^{0}miles per hour per second - c) 4.66 x 10
^{0}miles per hour per second - d) 5.87 x 10
^{0}miles per hour per second - e) 7.39 x 10
^{0}miles per hour per second

#### T1 V2[edit]

1) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 11.0 meters
- e) 8.0 meters

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

3) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

5) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- a) 1m/s/s.
- b) 1.2m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.07m/s/s.

6) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

- a) 8.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 7.0 meters
- e) 9.0 meters

- a) 7.0 meters
- b) 8.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 9.0 meters

- a) 23.0 meters
- b) 22.0 meters
- c) 19.0 meters
- d) 21.0 meters
- e) 20.0 meters

10) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 10.7 m/s.
- b) 16 m/s.
- c) 24 m/s.
- d) 36 m/s.
- e) 54 m/s.

12) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

13) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 5.0 meters
- d) 1.0 meters
- e) 2.0 meters

- a) 20.5 m/s.
- b) 30.7 m/s.
- c) 46.1 m/s.
- d) 69.1 m/s.
- e) 103.7 m/s.

15) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

### T1 W0[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- a) 1.77 x 10
^{1}m/s^{2} - b) 3.15 x 10
^{1}m/s^{2} - c) 5.61 x 10
^{1}m/s^{2} - d) 9.98 x 10
^{1}m/s^{2} - e) 1.77 x 10
^{2}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

- a) 6.08 m/s.
- b) 7.3 m/s.
- c) 8.76 m/s.
- d) 10.51 m/s.
- e) 12.61 m/s.

4) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- a) 4.24m/s
^{2}. - b) 5.08m/s
^{2}. - c) 6.1m/s
^{2}. - d) 7.32m/s
^{2}. - e) 8.78m/s
^{2}.

5) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 3.0 meters

- a) 8.0 meters
- b) 6.0 meters
- c) 5.0 meters
- d) 9.0 meters
- e) 7.0 meters

- a) 11.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 10.0 meters

- a) 20.0 meters
- b) 23.0 meters
- c) 19.0 meters
- d) 22.0 meters
- e) 21.0 meters

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 4.0 meters

11) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- a) 6.52 m.
- b) 7.82 m.
- c) 9.39 m.
- d) 11.27 m.
- e) 13.52 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

#### T1 W1[edit]

1) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 9.0 meters
- b) 7.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 11.0 meters

2) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 38.2 m/s.
- b) 45.9 m/s.
- c) 55 m/s.
- d) 66 m/s.
- e) 79.2 m/s.

3) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.42m/s
^{2}. - b) 4.11m/s
^{2}. - c) 4.93m/s
^{2}. - d) 5.92m/s
^{2}. - e) 7.1m/s
^{2}.

4) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 5.0 meters

5) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 22.9 m/s.
- b) 34.4 m/s.
- c) 51.5 m/s.
- d) 77.3 m/s.
- e) 116 m/s.

7) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- a) 0.28m/s/s.
- b) 0.33m/s/s.
- c) 0.4m/s/s.
- d) 0.48m/s/s.
- e) 0.57m/s/s.

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 3.0 meters
- d) 4.0 meters
- e) 5.0 meters

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 3.0 meters
- e) 6.0 meters

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.18 radians.
- b) 0.21 radians.
- c) 0.24 radians.
- d) 0.28 radians.
- e) 0.32 radians.

11) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- a) 3.06 x 10
^{0}m/s^{2} - b) 5.43 x 10
^{0}m/s^{2} - c) 9.66 x 10
^{0}m/s^{2} - d) 1.72 x 10
^{1}m/s^{2} - e) 3.06 x 10
^{1}m/s^{2}

12) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 19.0 meters
- b) 21.0 meters
- c) 22.0 meters
- d) 23.0 meters
- e) 20.0 meters

13) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

14) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- a) 21.32 degrees.
- b) 24.51 degrees.
- c) 28.19 degrees.
- d) 32.42 degrees.
- e) 37.28 degrees.

15) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.94 x 10
^{0}miles per hour per second - b) 3.7 x 10
^{0}miles per hour per second - c) 4.66 x 10
^{0}miles per hour per second - d) 5.87 x 10
^{0}miles per hour per second - e) 7.39 x 10
^{0}miles per hour per second

#### T1 W2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

- a) 23.0 meters
- b) 20.0 meters
- c) 22.0 meters
- d) 21.0 meters
- e) 19.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- a) 37.12 degrees.
- b) 42.69 degrees.
- c) 49.09 degrees.
- d) 56.45 degrees.
- e) 64.92 degrees.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 5.0 meters
- c) 3.0 meters
- d) 7.0 meters
- e) 6.0 meters

5) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

6) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

- a) 6.0 meters
- b) 7.0 meters
- c) 9.0 meters
- d) 5.0 meters
- e) 8.0 meters

8) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 46.7 m/s.
- b) 70 m/s.
- c) 105 m/s.
- d) 157.5 m/s.
- e) 236.3 m/s.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 7.0 meters
- c) 3.0 meters
- d) 6.0 meters
- e) 5.0 meters

10) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- a) 7.11 m/s.
- b) 8.53 m/s.
- c) 10.24 m/s.
- d) 12.28 m/s.
- e) 14.74 m/s.

11) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- a) 4.56 x 10
^{0}m/s^{2} - b) 8.11 x 10
^{0}m/s^{2} - c) 1.44 x 10
^{1}m/s^{2} - d) 2.56 x 10
^{1}m/s^{2} - e) 4.56 x 10
^{1}m/s^{2}

12) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 69.3 m/s.
- b) 83.2 m/s.
- c) 99.8 m/s.
- d) 119.8 m/s.
- e) 143.8 m/s.

13) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

14) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 11.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 7.0 meters

15) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

### T1 X0[edit]

1) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

4) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 3.83m/s/2.
- b) 4.6m/s/2.
- c) 5.52m/s/2.
- d) 6.62m/s/2.
- e) 7.95m/s/2.

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 6.0 meters
- c) 5.0 meters
- d) 3.0 meters
- e) 7.0 meters

- a) 5.0 meters
- b) 6.0 meters
- c) 7.0 meters
- d) 9.0 meters
- e) 8.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 7.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 3.0 meters

- a) 10.0 meters
- b) 11.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 12.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 3.0 meters
- b) 1.0 meters
- c) 5.0 meters
- d) 2.0 meters
- e) 4.0 meters

11) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 89.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 74.8 m/s.
- b) 89.8 m/s.
- c) 107.7 m/s.
- d) 129.3 m/s.
- e) 155.1 m/s.

#### T1 X1[edit]

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 4.0 meters

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 5.0 meters

3) The Smith family got in trouble for having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 89.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 74.8 m/s.
- b) 89.8 m/s.
- c) 107.7 m/s.
- d) 129.3 m/s.
- e) 155.1 m/s.

4) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- a) 3.6 m.
- b) 4.32 m.
- c) 5.18 m.
- d) 6.21 m.
- e) 7.46 m.

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 8.0 meters
- e) 9.0 meters

6) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- a) 30.2 s
- b) 36.24 s
- c) 43.49 s
- d) 52.19 s
- e) 62.63 s

7) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.43m/s
^{2}. - b) 2.92m/s
^{2}. - c) 3.5m/s
^{2}. - d) 4.2m/s
^{2}. - e) 5.04m/s
^{2}.

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 15 m/s.
- b) 22.4 m/s.
- c) 33.6 m/s.
- d) 50.5 m/s.
- e) 75.7 m/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

10) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- a) 2.26 x 10
^{-1}m/s^{2} - b) 4.02 x 10
^{-1}m/s^{2} - c) 7.15 x 10
^{-1}m/s^{2} - d) 1.27 x 10
^{0}m/s^{2} - e) 2.26 x 10
^{0}m/s^{2}

11) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- a) 5.39 m/s.
- b) 6.47 m/s.
- c) 7.76 m/s.
- d) 9.31 m/s.
- e) 11.18 m/s.

12) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
- b) 10.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 12.0 meters

13) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

14) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 3.0 meters
- d) 2.0 meters
- e) 1.0 meters

15) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

#### T1 X2[edit]

1) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 10.0 meters
- c) 9.0 meters
- d) 8.0 meters
- e) 11.0 meters

2) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- a) 81.8 m/s.
- b) 98.2 m/s.
- c) 117.8 m/s.
- d) 141.4 m/s.
- e) 169.6 m/s.

3) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.43m/s
^{2}. - b) 2.92m/s
^{2}. - c) 3.5m/s
^{2}. - d) 4.2m/s
^{2}. - e) 5.04m/s
^{2}.

4) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- a) 5.12 x 10
^{-2}m/s^{2} - b) 9.11 x 10
^{-2}m/s^{2} - c) 1.62 x 10
^{-1}m/s^{2} - d) 2.88 x 10
^{-1}m/s^{2} - e) 5.12 x 10
^{-1}m/s^{2}

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 2.0 meters
- b) 4.0 meters
- c) 3.0 meters
- d) 1.0 meters
- e) 5.0 meters

6) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 6.0 meters
- b) 9.0 meters
- c) 8.0 meters
- d) 5.0 meters
- e) 7.0 meters

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- a) 0.15 s.
- b) 0.18 s.
- c) 0.22 s.
- d) 0.26 s.
- e) 0.31 s.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 4.0 meters

9) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

11) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- a) 4.74 m.
- b) 5.69 m.
- c) 6.83 m.
- d) 8.2 m.
- e) 9.84 m.

12) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 3.0 meters

13) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

14) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- a) 32.04 degrees.
- b) 36.85 degrees.
- c) 42.37 degrees.
- d) 48.73 degrees.
- e) 56.04 degrees.

15) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

### T1 Y0[edit]

1) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- a) 5.3 x 10
^{0}minutes - b) 7.07 x 10
^{0}minutes - c) 9.42 x 10
^{0}minutes - d) 1.26 x 10
^{1}minutes - e) 1.68 x 10
^{1}minutes

2) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 6 x 10
^{0}miles per hour per second - b) 7.55 x 10
^{0}miles per hour per second - c) 9.51 x 10
^{0}miles per hour per second - d) 1.2 x 10
^{1}miles per hour per second - e) 1.51 x 10
^{1}miles per hour per second

3) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

4) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- a) 1.83m/s/s.
- b) 2.19m/s/s.
- c) 2.63m/s/s.
- d) 3.16m/s/s.
- e) 3.79m/s/s.

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 7.0 meters
- b) 11.0 meters
- c) 8.0 meters
- d) 10.0 meters
- e) 9.0 meters

- a) 7.0 meters
- b) 5.0 meters
- c) 8.0 meters
- d) 9.0 meters
- e) 6.0 meters

- a) 23.0 meters
- b) 21.0 meters
- c) 22.0 meters
- d) 19.0 meters
- e) 20.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 3.0 meters
- c) 6.0 meters
- d) 5.0 meters
- e) 4.0 meters

- a) 11.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 12.0 meters
- e) 9.0 meters

11) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- a) 4.67 m.
- b) 5.61 m.
- c) 6.73 m.
- d) 8.08 m.
- e) 9.69 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- a) 0.45 s.
- b) 0.54 s.
- c) 0.65 s.
- d) 0.78 s.
- e) 0.94 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.44 radians.
- b) 0.51 radians.
- c) 0.58 radians.
- d) 0.67 radians.
- e) 0.77 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- a) 6.7 m/s.
- b) 10.1 m/s.
- c) 15.1 m/s.
- d) 22.7 m/s.
- e) 34.1 m/s.

#### T1 Y1[edit]

1) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- a) 3.41 x 10
^{0}minutes - b) 4.54 x 10
^{0}minutes - c) 6.06 x 10
^{0}minutes - d) 8.08 x 10
^{0}minutes - e) 1.08 x 10
^{1}minutes

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

- a) 15.9 m/s.
- b) 23.9 m/s.
- c) 35.9 m/s.
- d) 53.8 m/s.
- e) 80.7 m/s.

- a) 23.0 meters
- b) 19.0 meters
- c) 22.0 meters
- d) 21.0 meters
- e) 20.0 meters

4) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 11.0 meters
- e) 10.0 meters

5) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.42 radians.
- b) 0.49 radians.
- c) 0.56 radians.
- d) 0.65 radians.
- e) 0.74 radians.

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- a) 0.99m/s/s.
- b) 1.19m/s/s.
- c) 1.43m/s/s.
- d) 1.72m/s/s.
- e) 2.06m/s/s.

8) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- a) 5.5m/s/2.
- b) 6.6m/s/2.
- c) 7.92m/s/2.
- d) 9.5m/s/2.
- e) 11.41m/s/2.

9) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

- a) 2.87 m.
- b) 3.44 m.
- c) 4.13 m.
- d) 4.96 m.
- e) 5.95 m.

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- a) 0.33 s.
- b) 0.39 s.
- c) 0.47 s.
- d) 0.56 s.
- e) 0.68 s.

11) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 3.0 meters
- c) 4.0 meters
- d) 6.0 meters
- e) 7.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
- b) 8.0 meters
- c) 7.0 meters
- d) 6.0 meters
- e) 5.0 meters

13) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.61 x 10
^{0}miles per hour per second - b) 2.03 x 10
^{0}miles per hour per second - c) 2.55 x 10
^{0}miles per hour per second - d) 3.22 x 10
^{0}miles per hour per second - e) 4.05 x 10
^{0}miles per hour per second

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

15) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 10.0 meters
- d) 12.0 meters
- e) 9.0 meters

#### T1 Y2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- a) 0.23 s.
- b) 0.27 s.
- c) 0.33 s.
- d) 0.4 s.
- e) 0.47 s.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 9.0 meters
- d) 6.0 meters
- e) 8.0 meters

3) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 10.0 meters
- b) 9.0 meters
- c) 7.0 meters
- d) 11.0 meters
- e) 8.0 meters

4) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 5.0 meters
- c) 6.0 meters
- d) 3.0 meters
- e) 4.0 meters

5) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 13.7 m/s.
- b) 20.5 m/s.
- c) 30.8 m/s.
- d) 46.1 m/s.
- e) 69.2 m/s.

6) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- a) 8.6 m/s.
- b) 12.9 m/s.
- c) 19.4 m/s.
- d) 29.1 m/s.
- e) 43.7 m/s.

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

8) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- a) 43.98 s
- b) 52.78 s
- c) 63.33 s
- d) 76 s
- e) 91.2 s

9) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 1.85 x 10
^{0}miles per hour per second - b) 2.33 x 10
^{0}miles per hour per second - c) 2.93 x 10
^{0}miles per hour per second - d) 3.69 x 10
^{0}miles per hour per second - e) 4.64 x 10
^{0}miles per hour per second

10) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.87m/s
^{2}. - b) 3.44m/s
^{2}. - c) 4.13m/s
^{2}. - d) 4.95m/s
^{2}. - e) 5.94m/s
^{2}.

- a) 11.0 meters
- b) 10.0 meters
- c) 12.0 meters
- d) 8.0 meters
- e) 9.0 meters

12) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- a) 0.77m/s/s.
- b) 0.92m/s/s.
- c) 1.1m/s/s.
- d) 1.33m/s/s.
- e) 1.59m/s/s.

13) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- a) 3.46 m.
- b) 4.15 m.
- c) 4.98 m.
- d) 5.97 m.
- e) 7.17 m.

14) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- a) 1.37 x 10
^{1}minutes - b) 1.82 x 10
^{1}minutes - c) 2.43 x 10
^{1}minutes - d) 3.24 x 10
^{1}minutes - e) 4.32 x 10
^{1}minutes

15) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 23.0 meters
- b) 21.0 meters
- c) 22.0 meters
- d) 19.0 meters
- e) 20.0 meters

### T1 Z0[edit]

1) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 3.95 x 10
^{0}miles per hour per second - b) 4.97 x 10
^{0}miles per hour per second - c) 6.26 x 10
^{0}miles per hour per second - d) 7.88 x 10
^{0}miles per hour per second - e) 9.92 x 10
^{0}miles per hour per second

- a) 8.13 m/s.
- b) 9.76 m/s.
- c) 11.71 m/s.
- d) 14.06 m/s.
- e) 16.87 m/s.

- a) 6.66m/s
^{2}. - b) 7.99m/s
^{2}. - c) 9.59m/s
^{2}. - d) 11.51m/s
^{2}. - e) 13.81m/s
^{2}.

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 3.0 meters
- b) 6.0 meters
- c) 4.0 meters
- d) 5.0 meters
- e) 7.0 meters

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 4.0 meters
- c) 5.0 meters
- d) 6.0 meters
- e) 3.0 meters

- a) 12.0 meters
- b) 8.0 meters
- c) 11.0 meters
- d) 9.0 meters
- e) 10.0 meters

- a) 16.0 meters
- b) 19.0 meters
- c) 17.0 meters
- d) 20.0 meters
- e) 18.0 meters

- a) 24.0 meters
- b) 27.0 meters
- c) 26.0 meters
- d) 25.0 meters
- e) 23.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- a) 27.27 degrees.
- b) 31.37 degrees.
- c) 36.07 degrees.
- d) 41.48 degrees.
- e) 47.7 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- a) 0.21 s.
- b) 0.25 s.
- c) 0.3 s.
- d) 0.36 s.
- e) 0.43 s.

- a) 0.21 radians.
- b) 0.24 radians.
- c) 0.27 radians.
- d) 0.31 radians.
- e) 0.36 radians.

- a) 30 m/s.
- b) 45 m/s.
- c) 67.5 m/s.
- d) 101.3 m/s.
- e) 151.9 m/s.

- a) 24.6 m/s.
- b) 36.8 m/s.
- c) 55.2 m/s.
- d) 82.9 m/s.
- e) 124.3 m/s.

#### T1 Z1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 24.0 meters
- b) 23.0 meters
- c) 25.0 meters
- d) 26.0 meters
- e) 27.0 meters

2) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 12.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 11.0 meters

3) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 6.0 meters
- b) 4.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 5.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- a) 17.34 degrees.
- b) 19.94 degrees.
- c) 22.94 degrees.
- d) 26.38 degrees.
- e) 30.33 degrees.

6) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

7) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.25 x 10
^{0}miles per hour per second - b) 2.83 x 10
^{0}miles per hour per second - c) 3.57 x 10
^{0}miles per hour per second - d) 4.49 x 10
^{0}miles per hour per second - e) 5.65 x 10
^{0}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 6.0 meters
- d) 5.0 meters
- e) 7.0 meters

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 16.4 m/s.
- b) 24.7 m/s.
- c) 37 m/s.
- d) 55.5 m/s.
- e) 83.3 m/s.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.14 radians.
- b) 0.16 radians.
- c) 0.19 radians.
- d) 0.22 radians.
- e) 0.25 radians.

12) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- a) 5.09 m/s.
- b) 6.11 m/s.
- c) 7.33 m/s.
- d) 8.79 m/s.
- e) 10.55 m/s.

13) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- a) 39.17 s
- b) 47 s
- c) 56.4 s
- d) 67.68 s
- e) 81.22 s

- a) 16.0 meters
- b) 20.0 meters
- c) 19.0 meters
- d) 17.0 meters
- e) 18.0 meters

15) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- a) 1.33 x 10
^{-1}m/s^{2} - b) 2.37 x 10
^{-1}m/s^{2} - c) 4.22 x 10
^{-1}m/s^{2} - d) 7.5 x 10
^{-1}m/s^{2} - e) 1.33 x 10
^{0}m/s^{2}

#### T1 Z2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- a) 0.26 radians.
- b) 0.3 radians.
- c) 0.34 radians.
- d) 0.39 radians.
- e) 0.45 radians.

2) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- a) 2.37m/s/2.
- b) 2.85m/s/2.
- c) 3.42m/s/2.
- d) 4.1m/s/2.
- e) 4.92m/s/2.

- a) 20.0 meters
- b) 16.0 meters
- c) 18.0 meters
- d) 17.0 meters
- e) 19.0 meters

4) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 4.0 meters
- b) 3.0 meters
- c) 7.0 meters
- d) 5.0 meters
- e) 6.0 meters

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- a) 0.41 s.
- b) 0.49 s.
- c) 0.58 s.
- d) 0.7 s.
- e) 0.84 s.

6) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- a) 4.95 m/s.
- b) 5.94 m/s.
- c) 7.13 m/s.
- d) 8.56 m/s.
- e) 10.27 m/s.

7) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 6.0 meters
- d) 7.0 meters
- e) 3.0 meters

8) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- a) 16.4 m/s.
- b) 24.7 m/s.
- c) 37 m/s.
- d) 55.5 m/s.
- e) 83.3 m/s.

9) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- a) 8.8 x 10
^{-2}m/s^{2} - b) 1.57 x 10
^{-1}m/s^{2} - c) 2.78 x 10
^{-1}m/s^{2} - d) 4.95 x 10
^{-1}m/s^{2} - e) 8.8 x 10
^{-1}m/s^{2}

- a) 25.0 meters
- b) 23.0 meters
- c) 27.0 meters
- d) 26.0 meters
- e) 24.0 meters

11) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- a) 42.36 s
- b) 50.83 s
- c) 61 s
- d) 73.2 s
- e) 87.84 s

12) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- a) 31.37 degrees.
- b) 36.07 degrees.
- c) 41.48 degrees.
- d) 47.71 degrees.
- e) 54.86 degrees.

13) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- a) 2.94 x 10
^{0}miles per hour per second - b) 3.7 x 10
^{0}miles per hour per second - c) 4.66 x 10
^{0}miles per hour per second - d) 5.87 x 10
^{0}miles per hour per second - e) 7.39 x 10
^{0}miles per hour per second

14) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 11.0 meters
- b) 8.0 meters
- c) 9.0 meters
- d) 10.0 meters
- e) 12.0 meters

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- a) 70.9 m/s.
- b) 106.4 m/s.
- c) 159.5 m/s.
- d) 239.3 m/s.
- e) 358.9 m/s.

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### Key: A0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- -a) 5.3 x 10
^{0}minutes - -b) 7.07 x 10
^{0}minutes - -c) 9.42 x 10
^{0}minutes - -d) 1.26 x 10
^{1}minutes - +e) 1.68 x 10
^{1}minutes

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

4) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 3.0 meters
- -b) 4.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

- -a) 8.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- +e) 6.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- -b) 5.0 meters
- -c) 4.0 meters
- +d) 3.0 meters
- -e) 7.0 meters

- +a) 9.0 meters
- -b) 11.0 meters
- -c) 8.0 meters
- -d) 12.0 meters
- -e) 10.0 meters

- +a) 16.0 meters
- -b) 13.0 meters
- -c) 14.0 meters
- -d) 17.0 meters
- -e) 15.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.4 m/s.
- -b) 36.7 m/s.
- +c) 55 m/s.
- -d) 82.5 m/s.
- -e) 123.7 m/s.

#### Key: A1[edit]

1) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

- -a) 9.78 x 10
^{0}minutes - +b) 1.3 x 10
^{1}minutes - -c) 1.74 x 10
^{1}minutes - -d) 2.32 x 10
^{1}minutes - -e) 3.09 x 10
^{1}minutes

3) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 9.0 meters
- -b) 12.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- -e) 10.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

5) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

6) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

- -a) 14.0 meters
- -b) 15.0 meters
- +c) 16.0 meters
- -d) 13.0 meters
- -e) 17.0 meters

8) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

9) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 3.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- -e) 5.0 meters

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

15) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

#### Key: A2[edit]

1) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

2) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- -a) 3.41 x 10
^{0}minutes - -b) 4.54 x 10
^{0}minutes - -c) 6.06 x 10
^{0}minutes - -d) 8.08 x 10
^{0}minutes - +e) 1.08 x 10
^{1}minutes

3) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

- -a) 14.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- -d) 17.0 meters
- +e) 16.0 meters

5) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 5.0 meters
- -d) 6.0 meters
- -e) 7.0 meters

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

- -a) 10.0 meters
- -b) 8.0 meters
- -c) 12.0 meters
- +d) 9.0 meters
- -e) 11.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

9) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

10) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- +a) 6.0 meters
- -b) 9.0 meters
- -c) 8.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

12) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

13) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

15) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- -e) 3.0 meters

### Key: B0[edit]

1) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- +a) 2.07 x 10
^{-1}m/s^{2} - -b) 3.68 x 10
^{-1}m/s^{2} - -c) 6.54 x 10
^{-1}m/s^{2} - -d) 1.16 x 10
^{0}m/s^{2} - -e) 2.07 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- -e) 3.0 meters

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 8.0 meters
- -e) 9.0 meters

- -a) 11.0 meters
- +b) 10.0 meters
- -c) 9.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

- -a) 8.0 meters
- -b) 12.0 meters
- +c) 9.0 meters
- -d) 11.0 meters
- -e) 10.0 meters

- -a) 14.0 meters
- -b) 15.0 meters
- -c) 13.0 meters
- -d) 17.0 meters
- +e) 16.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 69.3 m/s.
- +b) 83.2 m/s.
- -c) 99.8 m/s.
- -d) 119.8 m/s.
- -e) 143.8 m/s.

#### Key: B1[edit]

^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

2) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

3) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 5.0 meters
- -c) 4.0 meters
- -d) 7.0 meters
- -e) 3.0 meters

- -a) 15.0 meters
- -b) 13.0 meters
- -c) 14.0 meters
- +d) 16.0 meters
- -e) 17.0 meters

- -a) 9.0 meters
- -b) 8.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

- -a) 9.0 meters
- -b) 11.0 meters
- +c) 10.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

10) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

11) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

12) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

13) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.85 x 10
^{0}miles per hour per second - -b) 2.33 x 10
^{0}miles per hour per second - -c) 2.93 x 10
^{0}miles per hour per second - +d) 3.69 x 10
^{0}miles per hour per second - -e) 4.64 x 10
^{0}miles per hour per second

- -a) 11.0 meters
- +b) 9.0 meters
- -c) 8.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

- -a) 69.3 m/s.
- +b) 83.2 m/s.
- -c) 99.8 m/s.
- -d) 119.8 m/s.
- -e) 143.8 m/s.

#### Key: B2[edit]

1) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

2) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

5) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 9.0 meters
- -b) 10.0 meters
- -c) 12.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.

7) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

8) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

9) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- +c) 6.0 meters
- -d) 8.0 meters
- -e) 5.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 3.0 meters
- +c) 6.0 meters
- -d) 4.0 meters
- -e) 7.0 meters

- -a) 17.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- +d) 16.0 meters
- -e) 14.0 meters

12) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.85 x 10
^{0}miles per hour per second - -b) 2.33 x 10
^{0}miles per hour per second - -c) 2.93 x 10
^{0}miles per hour per second - +d) 3.69 x 10
^{0}miles per hour per second - -e) 4.64 x 10
^{0}miles per hour per second

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 7.0 meters

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

15) The Smith family got in trouble for having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 89.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 74.8 m/s.
- -b) 89.8 m/s.
- -c) 107.7 m/s.
- -d) 129.3 m/s.
- -e) 155.1 m/s.

### Key: C0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

2) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

3) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

5) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- +a) 1m/s/s.
- -b) 1.2m/s/s.
- -c) 1.43m/s/s.
- -d) 1.72m/s/s.
- -e) 2.07m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

- -a) 10.0 meters
- -b) 11.0 meters
- +c) 12.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

- -a) 19.0 meters
- -b) 23.0 meters
- -c) 21.0 meters
- +d) 20.0 meters
- -e) 22.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 6.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- -e) 10.0 meters

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.27 radians.
- -b) 0.31 radians.
- -c) 0.36 radians.
- +d) 0.41 radians.
- -e) 0.47 radians.

14) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 38.2 m/s.
- -b) 45.9 m/s.
- -c) 55 m/s.
- -d) 66 m/s.
- +e) 79.2 m/s.

#### Key: C1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- +d) 12.0 meters
- -e) 8.0 meters

2) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

4) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

5) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 19.0 meters
- -b) 21.0 meters
- +c) 20.0 meters
- -d) 23.0 meters
- -e) 22.0 meters

6) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

8) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

10) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

- -a) 10.0 meters
- +b) 9.0 meters
- -c) 8.0 meters
- -d) 12.0 meters
- -e) 11.0 meters

12) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

14) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 53.4 m/s.
- -b) 64 m/s.
- +c) 76.9 m/s.
- -d) 92.2 m/s.
- -e) 110.7 m/s.

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

#### Key: C2[edit]

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- +a) 4.64 x 10
^{0}m/s^{2} - -b) 8.26 x 10
^{0}m/s^{2} - -c) 1.47 x 10
^{1}m/s^{2} - -d) 2.61 x 10
^{1}m/s^{2} - -e) 4.64 x 10
^{1}m/s^{2}

2) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 40.8 m/s.
- -b) 48.9 m/s.
- -c) 58.7 m/s.
- -d) 70.4 m/s.
- +e) 84.5 m/s.

3) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

4) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.4 m/s.
- -b) 36.7 m/s.
- +c) 55 m/s.
- -d) 82.5 m/s.
- -e) 123.7 m/s.

5) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

6) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 6.0 meters
- -c) 7.0 meters
- +d) 3.0 meters
- -e) 5.0 meters

7) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

- -a) 10.0 meters
- -b) 8.0 meters
- -c) 12.0 meters
- -d) 11.0 meters
- +e) 9.0 meters

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 11.0 meters
- +c) 10.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

10) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 21.0 meters
- +b) 20.0 meters
- -c) 22.0 meters
- -d) 23.0 meters
- -e) 19.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.44 radians.
- -b) 0.51 radians.
- +c) 0.58 radians.
- -d) 0.67 radians.
- -e) 0.77 radians.

13) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 12.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 10.0 meters

14) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

15) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

### Key: D0[edit]

1) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- +a) 1.16 x 10
^{1}minutes - -b) 1.55 x 10
^{1}minutes - -c) 2.07 x 10
^{1}minutes - -d) 2.76 x 10
^{1}minutes - -e) 3.68 x 10
^{1}minutes

2) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- +a) 2.07 x 10
^{-1}m/s^{2} - -b) 3.68 x 10
^{-1}m/s^{2} - -c) 6.54 x 10
^{-1}m/s^{2} - -d) 1.16 x 10
^{0}m/s^{2} - -e) 2.07 x 10
^{0}m/s^{2}

3) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

4) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 9.0 meters
- -c) 11.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

- -a) 10.0 meters
- +b) 12.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- -c) 4.0 meters
- -d) 6.0 meters
- +e) 3.0 meters

- +a) 9.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 12.0 meters
- -e) 11.0 meters

- -a) 19.0 meters
- +b) 16.0 meters
- -c) 17.0 meters
- -d) 18.0 meters
- -e) 20.0 meters

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

- -a) 0.14 radians.
- -b) 0.16 radians.
- -c) 0.19 radians.
- -d) 0.22 radians.
- +e) 0.25 radians.

14) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- -a) 6.7 m/s.
- -b) 10.1 m/s.
- -c) 15.1 m/s.
- +d) 22.7 m/s.
- -e) 34.1 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- +a) 52.1 m/s.
- -b) 78.1 m/s.
- -c) 117.2 m/s.
- -d) 175.7 m/s.
- -e) 263.6 m/s.

#### Key: D1[edit]

1) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 34.2 m/s.
- +b) 51.3 m/s.
- -c) 77 m/s.
- -d) 115.5 m/s.
- -e) 173.3 m/s.

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- -a) 7 m/s.
- -b) 10.4 m/s.
- -c) 15.7 m/s.
- +d) 23.5 m/s.
- -e) 35.3 m/s.

3) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 12.0 meters
- -b) 11.0 meters
- -c) 10.0 meters
- -d) 8.0 meters
- -e) 9.0 meters

4) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 10.0 meters
- +c) 9.0 meters
- -d) 12.0 meters
- -e) 11.0 meters

5) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- -a) 1.37 x 10
^{1}minutes - +b) 1.82 x 10
^{1}minutes - -c) 2.43 x 10
^{1}minutes - -d) 3.24 x 10
^{1}minutes - -e) 4.32 x 10
^{1}minutes

6) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

- +a) 16.0 meters
- -b) 19.0 meters
- -c) 17.0 meters
- -d) 20.0 meters
- -e) 18.0 meters

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

9) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 11.0 meters
- -c) 7.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

11) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

12) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 4.0 meters
- +c) 3.0 meters
- -d) 6.0 meters
- -e) 5.0 meters

13) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

15) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

#### Key: D2[edit]

1) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

2) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 10.0 meters
- +b) 12.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

4) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

- -a) 1.37 x 10
^{1}minutes - +b) 1.82 x 10
^{1}minutes - -c) 2.43 x 10
^{1}minutes - -d) 3.24 x 10
^{1}minutes - -e) 4.32 x 10
^{1}minutes

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

7) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- -a) 7 m/s.
- -b) 10.4 m/s.
- -c) 15.7 m/s.
- +d) 23.5 m/s.
- -e) 35.3 m/s.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

- -a) 12.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- +e) 9.0 meters

11) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

12) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

13) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

- -a) 17.0 meters
- -b) 18.0 meters
- -c) 20.0 meters
- -d) 19.0 meters
- +e) 16.0 meters

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

### Key: E0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

- -a) 7.0 meters
- -b) 5.0 meters
- -c) 9.0 meters
- +d) 6.0 meters
- -e) 8.0 meters

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

- +a) 16.0 meters
- -b) 20.0 meters
- -c) 19.0 meters
- -d) 17.0 meters
- -e) 18.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- -c) 2.0 meters
- +d) 3.0 meters
- -e) 1.0 meters

- -a) 25.0 meters
- -b) 26.0 meters
- -c) 23.0 meters
- -d) 27.0 meters
- +e) 24.0 meters

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

#### Key: E1[edit]

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 6.0 meters
- -c) 7.0 meters
- -d) 4.0 meters
- +e) 3.0 meters

2) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- +a) 4.64 x 10
^{0}m/s^{2} - -b) 8.26 x 10
^{0}m/s^{2} - -c) 1.47 x 10
^{1}m/s^{2} - -d) 2.61 x 10
^{1}m/s^{2} - -e) 4.64 x 10
^{1}m/s^{2}

3) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 2.0 meters
- +c) 3.0 meters
- -d) 1.0 meters
- -e) 4.0 meters

- -a) 17.0 meters
- -b) 18.0 meters
- +c) 16.0 meters
- -d) 20.0 meters
- -e) 19.0 meters

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.26 radians.
- -b) 0.3 radians.
- -c) 0.34 radians.
- -d) 0.39 radians.
- +e) 0.45 radians.

7) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

9) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- +a) 52.1 m/s.
- -b) 78.1 m/s.
- -c) 117.2 m/s.
- -d) 175.7 m/s.
- -e) 263.6 m/s.

10) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 27.0 meters
- -b) 25.0 meters
- -c) 23.0 meters
- +d) 24.0 meters
- -e) 26.0 meters

12) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

13) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- -a) 0.26 s.
- -b) 0.31 s.
- -c) 0.37 s.
- -d) 0.44 s.
- +e) 0.53 s.

15) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

#### Key: E2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 8.0 meters
- -b) 5.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

- -a) 17.0 meters
- -b) 19.0 meters
- -c) 18.0 meters
- +d) 16.0 meters
- -e) 20.0 meters

- -a) 23.0 meters
- +b) 24.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 27.0 meters

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 2.0 meters
- -c) 4.0 meters
- -d) 1.0 meters
- +e) 3.0 meters

6) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

8) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

10) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

11) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.85 x 10
^{0}miles per hour per second - -b) 2.33 x 10
^{0}miles per hour per second - -c) 2.93 x 10
^{0}miles per hour per second - +d) 3.69 x 10
^{0}miles per hour per second - -e) 4.64 x 10
^{0}miles per hour per second

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

13) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

14) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 6.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- +e) 3.0 meters

### Key: F0[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

3) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.43m/s
^{2}. - -b) 2.92m/s
^{2}. - -c) 3.5m/s
^{2}. - +d) 4.2m/s
^{2}. - -e) 5.04m/s
^{2}.

4) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

6) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 7.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

7) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 19.0 meters
- -b) 22.0 meters
- -c) 21.0 meters
- -d) 23.0 meters
- +e) 20.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 2.0 meters
- +c) 3.0 meters
- -d) 5.0 meters
- -e) 1.0 meters

- -a) 23.0 meters
- -b) 25.0 meters
- -c) 27.0 meters
- +d) 24.0 meters
- -e) 26.0 meters

11) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

- -a) 2.87 m.
- -b) 3.44 m.
- -c) 4.13 m.
- -d) 4.96 m.
- +e) 5.95 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- -a) 8.6 m/s.
- -b) 12.9 m/s.
- +c) 19.4 m/s.
- -d) 29.1 m/s.
- -e) 43.7 m/s.

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 34.2 m/s.
- +b) 51.3 m/s.
- -c) 77 m/s.
- -d) 115.5 m/s.
- -e) 173.3 m/s.

#### Key: F1[edit]

1) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 23.0 meters
- -b) 27.0 meters
- -c) 26.0 meters
- +d) 24.0 meters
- -e) 25.0 meters

2) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

- -a) 19.0 meters
- +b) 20.0 meters
- -c) 21.0 meters
- -d) 22.0 meters
- -e) 23.0 meters

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 2.0 meters
- -b) 1.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- +e) 3.0 meters

6) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- -a) 8.6 m/s.
- -b) 12.9 m/s.
- +c) 19.4 m/s.
- -d) 29.1 m/s.
- -e) 43.7 m/s.

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

8) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

10) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

11) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

12) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.94 x 10
^{0}miles per hour per second - -b) 3.7 x 10
^{0}miles per hour per second - -c) 4.66 x 10
^{0}miles per hour per second - -d) 5.87 x 10
^{0}miles per hour per second - +e) 7.39 x 10
^{0}miles per hour per second

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

14) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- +d) 10.0 meters
- -e) 9.0 meters

- -a) 24.4 m/s.
- -b) 36.7 m/s.
- +c) 55 m/s.
- -d) 82.5 m/s.
- -e) 123.7 m/s.

#### Key: F2[edit]

1) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

- -a) 0.26 s.
- -b) 0.31 s.
- -c) 0.37 s.
- -d) 0.44 s.
- +e) 0.53 s.

3) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

4) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 23.0 meters
- +b) 20.0 meters
- -c) 19.0 meters
- -d) 21.0 meters
- -e) 22.0 meters

5) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.5 m/s.
- -b) 15.8 m/s.
- -c) 23.7 m/s.
- -d) 35.5 m/s.
- +e) 53.2 m/s.

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

7) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 24.0 meters
- -b) 23.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 27.0 meters

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 2.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 1.0 meters
- -e) 4.0 meters

9) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 9.0 meters
- +b) 10.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

11) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

12) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

13) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

14) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 6.0 meters
- -e) 4.0 meters

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- -a) 7.1 m/s.
- -b) 10.7 m/s.
- +c) 16 m/s.
- -d) 24 m/s.
- -e) 36 m/s.

### Key: G0[edit]

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

5) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 3.0 meters
- -b) 7.0 meters
- +c) 6.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 8.0 meters
- +c) 10.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

- -a) 5.0 meters
- -b) 8.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

- -a) 19.0 meters
- -b) 23.0 meters
- +c) 20.0 meters
- -d) 21.0 meters
- -e) 22.0 meters

- +a) 9.0 meters
- -b) 8.0 meters
- -c) 11.0 meters
- -d) 12.0 meters
- -e) 10.0 meters

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.44 radians.
- -b) 0.51 radians.
- +c) 0.58 radians.
- -d) 0.67 radians.
- -e) 0.77 radians.

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

- -a) 9.8 m/s.
- -b) 14.7 m/s.
- +c) 22 m/s.
- -d) 33 m/s.
- -e) 49.5 m/s.

#### Key: G1[edit]

1) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

2) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

3) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

5) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- -c) 3.0 meters
- +d) 6.0 meters
- -e) 4.0 meters

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- +b) 10.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

9) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

10) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

- -a) 10.0 meters
- -b) 8.0 meters
- -c) 12.0 meters
- -d) 11.0 meters
- +e) 9.0 meters

12) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

13) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.9 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 31.1 m/s.
- -b) 46.7 m/s.
- +c) 70 m/s.
- -d) 105 m/s.
- -e) 157.5 m/s.

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

- -a) 21.0 meters
- +b) 20.0 meters
- -c) 19.0 meters
- -d) 23.0 meters
- -e) 22.0 meters

#### Key: G2[edit]

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 5.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

- -a) 22.0 meters
- +b) 20.0 meters
- -c) 23.0 meters
- -d) 19.0 meters
- -e) 21.0 meters

3) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

4) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

5) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 5.0 meters
- -d) 3.0 meters
- -e) 4.0 meters

7) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

8) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

10) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 9.0 meters
- +c) 10.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

12) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

13) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

- -a) 8.0 meters
- -b) 11.0 meters
- -c) 10.0 meters
- -d) 12.0 meters
- +e) 9.0 meters

15) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

### Key: H0[edit]

1) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.85 x 10
^{0}miles per hour per second - -b) 2.33 x 10
^{0}miles per hour per second - -c) 2.93 x 10
^{0}miles per hour per second - +d) 3.69 x 10
^{0}miles per hour per second - -e) 4.64 x 10
^{0}miles per hour per second

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 11.0 meters
- +c) 10.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

- +a) 10.0 meters
- -b) 9.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 7.0 meters

- -a) 10.0 meters
- -b) 12.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- +e) 9.0 meters

- -a) 20.0 meters
- -b) 18.0 meters
- -c) 17.0 meters
- -d) 19.0 meters
- +e) 16.0 meters

- -a) 27.0 meters
- -b) 25.0 meters
- -c) 26.0 meters
- +d) 24.0 meters
- -e) 23.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

#### Key: H1[edit]

- +a) 2.07 x 10
^{-1}m/s^{2} - -b) 3.68 x 10
^{-1}m/s^{2} - -c) 6.54 x 10
^{-1}m/s^{2} - -d) 1.16 x 10
^{0}m/s^{2} - -e) 2.07 x 10
^{0}m/s^{2}

2) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

3) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

4) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

5) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

6) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 53.4 m/s.
- -b) 64 m/s.
- +c) 76.9 m/s.
- -d) 92.2 m/s.
- -e) 110.7 m/s.

7) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- -a) 0.43 s.
- +b) 0.52 s.
- -c) 0.62 s.
- -d) 0.75 s.
- -e) 0.9 s.

- -a) 11.0 meters
- +b) 9.0 meters
- -c) 8.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

- -a) 20.0 meters
- -b) 19.0 meters
- -c) 18.0 meters
- -d) 17.0 meters
- +e) 16.0 meters

12) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

13) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

14) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 25.0 meters
- -b) 26.0 meters
- +c) 24.0 meters
- -d) 27.0 meters
- -e) 23.0 meters

15) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- -c) 8.0 meters
- +d) 10.0 meters
- -e) 11.0 meters

#### Key: H2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

2) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

3) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 26.0 meters
- +b) 24.0 meters
- -c) 27.0 meters
- -d) 23.0 meters
- -e) 25.0 meters

4) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

5) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

6) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

7) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

8) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

- -a) 8.0 meters
- -b) 12.0 meters
- -c) 10.0 meters
- +d) 9.0 meters
- -e) 11.0 meters

10) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

- -a) 19.0 meters
- -b) 20.0 meters
- +c) 16.0 meters
- -d) 17.0 meters
- -e) 18.0 meters

12) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

13) The Smith family got in trouble for having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 84.5 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 73.2 m/s.
- -b) 87.8 m/s.
- -c) 105.3 m/s.
- -d) 126.4 m/s.
- -e) 151.7 m/s.

14) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 7.0 meters
- +c) 10.0 meters
- -d) 9.0 meters
- -e) 11.0 meters

15) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 9.0 meters
- -c) 11.0 meters
- +d) 10.0 meters
- -e) 7.0 meters

### Key: I0[edit]

1) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

- -a) 3.84 x 10
^{0}minutes - -b) 5.12 x 10
^{0}minutes - +c) 6.83 x 10
^{0}minutes - -d) 9.11 x 10
^{0}minutes - -e) 1.22 x 10
^{1}minutes

2) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

6) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 10.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

- -a) 18.0 meters
- -b) 19.0 meters
- -c) 20.0 meters
- +d) 16.0 meters
- -e) 17.0 meters

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 2.0 meters
- +c) 3.0 meters
- -d) 1.0 meters
- -e) 5.0 meters

- +a) 24.0 meters
- -b) 26.0 meters
- -c) 27.0 meters
- -d) 23.0 meters
- -e) 25.0 meters

- -a) 14.0 meters
- -b) 13.0 meters
- -c) 17.0 meters
- -d) 15.0 meters
- +e) 16.0 meters

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

- -a) 0.14 radians.
- -b) 0.16 radians.
- -c) 0.19 radians.
- -d) 0.22 radians.
- +e) 0.25 radians.

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

#### Key: I1[edit]

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

2) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

3) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

4) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

- -a) 3.84 x 10
^{0}minutes - -b) 5.12 x 10
^{0}minutes - +c) 6.83 x 10
^{0}minutes - -d) 9.11 x 10
^{0}minutes - -e) 1.22 x 10
^{1}minutes

- -a) 17.0 meters
- -b) 19.0 meters
- -c) 18.0 meters
- +d) 16.0 meters
- -e) 20.0 meters

- -a) 17.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- +d) 16.0 meters
- -e) 14.0 meters

7) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

8) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

- -a) 12.0 meters
- -b) 8.0 meters
- -c) 10.0 meters
- -d) 11.0 meters
- +e) 9.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 2.0 meters
- +b) 3.0 meters
- -c) 5.0 meters
- -d) 4.0 meters
- -e) 1.0 meters

- -a) 23.0 meters
- -b) 27.0 meters
- -c) 26.0 meters
- +d) 24.0 meters
- -e) 25.0 meters

12) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.26 radians.
- -b) 0.3 radians.
- -c) 0.34 radians.
- -d) 0.39 radians.
- +e) 0.45 radians.

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

15) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

#### Key: I2[edit]

1) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.72 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2 m, and moves at a constant speed of 2.02 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

3) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

- -a) 20.0 meters
- -b) 18.0 meters
- -c) 17.0 meters
- +d) 16.0 meters
- -e) 19.0 meters

- -a) 12.0 meters
- -b) 11.0 meters
- -c) 10.0 meters
- +d) 9.0 meters
- -e) 8.0 meters

- -a) 13.0 meters
- -b) 15.0 meters
- -c) 14.0 meters
- -d) 17.0 meters
- +e) 16.0 meters

7) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

8) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 25.0 meters
- -b) 27.0 meters
- -c) 26.0 meters
- -d) 23.0 meters
- +e) 24.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- -c) 2.0 meters
- -d) 1.0 meters
- +e) 3.0 meters

10) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

11) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- -a) 3.41 x 10
^{0}minutes - -b) 4.54 x 10
^{0}minutes - -c) 6.06 x 10
^{0}minutes - -d) 8.08 x 10
^{0}minutes - +e) 1.08 x 10
^{1}minutes

12) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

13) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

14) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

15) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

### Key: J0[edit]

1) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

4) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

5) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- -a) 35.9 s
- -b) 43.08 s
- -c) 51.69 s
- -d) 62.03 s
- +e) 74.43 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- +e) 10.0 meters

- -a) 10.0 meters
- +b) 12.0 meters
- -c) 9.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

- -a) 21.0 meters
- +b) 20.0 meters
- -c) 23.0 meters
- -d) 19.0 meters
- -e) 22.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 6.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

- -a) 26.0 meters
- -b) 27.0 meters
- -c) 25.0 meters
- +d) 24.0 meters
- -e) 23.0 meters

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

#### Key: J1[edit]

^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 4.0 meters
- -c) 6.0 meters
- +d) 3.0 meters
- -e) 7.0 meters

3) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

4) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 10.0 meters
- -b) 9.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- +e) 12.0 meters

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

6) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 19.0 meters
- -b) 22.0 meters
- -c) 21.0 meters
- +d) 20.0 meters
- -e) 23.0 meters

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.24 radians.
- -b) 0.27 radians.
- -c) 0.31 radians.
- -d) 0.36 radians.
- +e) 0.41 radians.

- -a) 26.0 meters
- +b) 24.0 meters
- -c) 27.0 meters
- -d) 23.0 meters
- -e) 25.0 meters

9) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

10) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 8.0 meters
- +c) 10.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

12) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

13) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- -a) 8.6 m/s.
- -b) 12.9 m/s.
- +c) 19.4 m/s.
- -d) 29.1 m/s.
- -e) 43.7 m/s.

14) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

#### Key: J2[edit]

1) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

- -a) 21.0 meters
- -b) 23.0 meters
- -c) 19.0 meters
- +d) 20.0 meters
- -e) 22.0 meters

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

4) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

- -a) 23.0 meters
- -b) 26.0 meters
- -c) 27.0 meters
- -d) 25.0 meters
- +e) 24.0 meters

*magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

- -a) 15.9 m/s.
- +b) 23.9 m/s.
- -c) 35.9 m/s.
- -d) 53.8 m/s.
- -e) 80.7 m/s.

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 11.0 meters
- +c) 10.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

10) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

11) The Smith family got in trouble for having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 84.5 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 73.2 m/s.
- -b) 87.8 m/s.
- -c) 105.3 m/s.
- -d) 126.4 m/s.
- -e) 151.7 m/s.

- -a) 10.0 meters
- -b) 8.0 meters
- +c) 12.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

13) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 3.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- -e) 6.0 meters

14) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.24 radians.
- -b) 0.27 radians.
- -c) 0.31 radians.
- -d) 0.36 radians.
- +e) 0.41 radians.

15) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

### Key: K0[edit]

1) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

- -a) 8.65 x 10
^{0}minutes - -b) 1.15 x 10
^{1}minutes - +c) 1.54 x 10
^{1}minutes - -d) 2.05 x 10
^{1}minutes - -e) 2.74 x 10
^{1}minutes

2) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

5) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 4.0 meters
- -e) 3.0 meters

- -a) 9.0 meters
- -b) 8.0 meters
- +c) 6.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

- +a) 16.0 meters
- -b) 20.0 meters
- -c) 18.0 meters
- -d) 19.0 meters
- -e) 17.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 2.0 meters
- -c) 1.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

11) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- -a) 7.1 m/s.
- -b) 10.7 m/s.
- +c) 16 m/s.
- -d) 24 m/s.
- -e) 36 m/s.

- -a) 34.2 m/s.
- +b) 51.3 m/s.
- -c) 77 m/s.
- -d) 115.5 m/s.
- -e) 173.3 m/s.

#### Key: K1[edit]

1) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- -a) 6.7 m/s.
- -b) 10.1 m/s.
- -c) 15.1 m/s.
- +d) 22.7 m/s.
- -e) 34.1 m/s.

2) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- -a) 17.0 meters
- -b) 18.0 meters
- +c) 16.0 meters
- -d) 19.0 meters
- -e) 20.0 meters

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

5) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

6) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 4.0 meters
- -e) 5.0 meters

7) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.4 m/s.
- -b) 36.7 m/s.
- +c) 55 m/s.
- -d) 82.5 m/s.
- -e) 123.7 m/s.

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

9) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- +a) 1.16 x 10
^{1}minutes - -b) 1.55 x 10
^{1}minutes - -c) 2.07 x 10
^{1}minutes - -d) 2.76 x 10
^{1}minutes - -e) 3.68 x 10
^{1}minutes

10) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.43m/s
^{2}. - -b) 2.92m/s
^{2}. - -c) 3.5m/s
^{2}. - +d) 4.2m/s
^{2}. - -e) 5.04m/s
^{2}.

11) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 4.0 meters
- -c) 5.0 meters
- -d) 1.0 meters
- -e) 2.0 meters

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 3.0 meters
- +b) 6.0 meters
- -c) 4.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

13) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

14) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

15) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

#### Key: K2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

2) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

3) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- +a) 6.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

4) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 4.0 meters
- -c) 2.0 meters
- -d) 1.0 meters
- +e) 3.0 meters

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 27.9 m/s. What was the muzzle speed of her bullet?

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

7) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

8) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- +a) 40.85 degrees.
- -b) 46.98 degrees.
- -c) 54.03 degrees.
- -d) 62.13 degrees.
- -e) 71.45 degrees.

- -a) 17.0 meters
- -b) 20.0 meters
- -c) 18.0 meters
- +d) 16.0 meters
- -e) 19.0 meters

10) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

11) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- -a) 1.37 x 10
^{1}minutes - +b) 1.82 x 10
^{1}minutes - -c) 2.43 x 10
^{1}minutes - -d) 3.24 x 10
^{1}minutes - -e) 4.32 x 10
^{1}minutes

12) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

13) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 7.0 meters
- +c) 6.0 meters
- -d) 4.0 meters
- -e) 3.0 meters

14) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

### Key: L0[edit]

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 3.0 meters
- -c) 4.0 meters
- +d) 6.0 meters
- -e) 7.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 8.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 4.0 meters
- -c) 7.0 meters
- +d) 3.0 meters
- -e) 6.0 meters

- +a) 24.0 meters
- -b) 23.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 27.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

- -a) 9.8 m/s.
- -b) 14.7 m/s.
- +c) 22 m/s.
- -d) 33 m/s.
- -e) 49.5 m/s.

#### Key: L1[edit]

1) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

2) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

- -a) 27.0 meters
- +b) 24.0 meters
- -c) 25.0 meters
- -d) 26.0 meters
- -e) 23.0 meters

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

5) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

6) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 6.0 meters

8) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

- +a) 2.14 x 10
^{-1}m/s^{2} - -b) 3.8 x 10
^{-1}m/s^{2} - -c) 6.76 x 10
^{-1}m/s^{2} - -d) 1.2 x 10
^{0}m/s^{2} - -e) 2.14 x 10
^{0}m/s^{2}

9) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

10) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.

- -a) 5.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- +d) 6.0 meters
- -e) 7.0 meters

13) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- +e) 10.0 meters

14) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 4.0 meters
- -c) 5.0 meters
- +d) 6.0 meters
- -e) 3.0 meters

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

#### Key: L2[edit]

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 11.0 meters
- -c) 8.0 meters
- +d) 10.0 meters
- -e) 7.0 meters

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 6.0 meters
- -c) 7.0 meters
- +d) 3.0 meters
- -e) 4.0 meters

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 5.0 meters
- -e) 9.0 meters

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

6) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

7) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

- -a) 8.6 m/s.
- -b) 12.9 m/s.
- +c) 19.4 m/s.
- -d) 29.1 m/s.
- -e) 43.7 m/s.

8) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- +c) 6.0 meters
- -d) 3.0 meters
- -e) 4.0 meters

10) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- -a) 2.26 x 10
^{-1}m/s^{2} - -b) 4.02 x 10
^{-1}m/s^{2} - +c) 7.15 x 10
^{-1}m/s^{2} - -d) 1.27 x 10
^{0}m/s^{2} - -e) 2.26 x 10
^{0}m/s^{2}

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

13) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 25.0 meters
- -b) 27.0 meters
- +c) 24.0 meters
- -d) 26.0 meters
- -e) 23.0 meters

14) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

15) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

### Key: M0[edit]

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

- -a) 8.65 x 10
^{0}minutes - -b) 1.15 x 10
^{1}minutes - +c) 1.54 x 10
^{1}minutes - -d) 2.05 x 10
^{1}minutes - -e) 2.74 x 10
^{1}minutes

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

5) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

- -a) 19.0 meters
- +b) 20.0 meters
- -c) 21.0 meters
- -d) 22.0 meters
- -e) 23.0 meters

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- -e) 10.0 meters

- +a) 16.0 meters
- -b) 18.0 meters
- -c) 17.0 meters
- -d) 20.0 meters
- -e) 19.0 meters

- -a) 23.0 meters
- -b) 25.0 meters
- -c) 27.0 meters
- -d) 26.0 meters
- +e) 24.0 meters

- -a) 15.0 meters
- -b) 14.0 meters
- -c) 13.0 meters
- +d) 16.0 meters
- -e) 17.0 meters

- -a) 2.85 m.
- -b) 3.42 m.
- -c) 4.1 m.
- +d) 4.92 m.
- -e) 5.9 m.

^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

15) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 53.4 m/s.
- -b) 64 m/s.
- +c) 76.9 m/s.
- -d) 92.2 m/s.
- -e) 110.7 m/s.

#### Key: M1[edit]

1) A particle accelerates uniformly at 11.5 m/s/s. How long does it take for the velocity to increase from 1164 m/s to 2020 m/s?

- -a) 35.9 s
- -b) 43.08 s
- -c) 51.69 s
- -d) 62.03 s
- +e) 74.43 s

- +a) 16.0 meters
- -b) 18.0 meters
- -c) 19.0 meters
- -d) 20.0 meters
- -e) 17.0 meters

- +a) 16.0 meters
- -b) 14.0 meters
- -c) 15.0 meters
- -d) 17.0 meters
- -e) 13.0 meters

4) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 40.8 m/s.
- -b) 48.9 m/s.
- -c) 58.7 m/s.
- -d) 70.4 m/s.
- +e) 84.5 m/s.

^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

- -a) 25.0 meters
- +b) 24.0 meters
- -c) 27.0 meters
- -d) 26.0 meters
- -e) 23.0 meters

7) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

- -a) 21.0 meters
- -b) 22.0 meters
- -c) 19.0 meters
- -d) 23.0 meters
- +e) 20.0 meters

10) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

- -a) 11.0 meters
- +b) 9.0 meters
- -c) 12.0 meters
- -d) 10.0 meters
- -e) 8.0 meters

12) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

13) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- +a) 1.16 x 10
^{1}minutes - -b) 1.55 x 10
^{1}minutes - -c) 2.07 x 10
^{1}minutes - -d) 2.76 x 10
^{1}minutes - -e) 3.68 x 10
^{1}minutes

14) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

15) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

#### Key: M2[edit]

1) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- -a) 17.0 meters
- -b) 14.0 meters
- -c) 13.0 meters
- -d) 15.0 meters
- +e) 16.0 meters

- -a) 23.0 meters
- +b) 20.0 meters
- -c) 21.0 meters
- -d) 19.0 meters
- -e) 22.0 meters

3) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

4) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

5) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

6) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

- +a) 16.0 meters
- -b) 18.0 meters
- -c) 20.0 meters
- -d) 17.0 meters
- -e) 19.0 meters

8) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- -a) 3.41 x 10
^{0}minutes - -b) 4.54 x 10
^{0}minutes - -c) 6.06 x 10
^{0}minutes - -d) 8.08 x 10
^{0}minutes - +e) 1.08 x 10
^{1}minutes

- +a) 24.0 meters
- -b) 25.0 meters
- -c) 26.0 meters
- -d) 23.0 meters
- -e) 27.0 meters

10) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 38.2 m/s.
- -b) 45.9 m/s.
- -c) 55 m/s.
- -d) 66 m/s.
- +e) 79.2 m/s.

11) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

12) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 10.0 meters

13) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

### Key: N0[edit]

1) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

2) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 4.0 meters
- -d) 3.0 meters
- -e) 5.0 meters

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- +c) 10.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

8) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 9.0 meters
- -c) 11.0 meters
- -d) 10.0 meters
- +e) 12.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 6.0 meters
- -e) 4.0 meters

- -a) 19.0 meters
- -b) 20.0 meters
- -c) 18.0 meters
- +d) 16.0 meters
- -e) 17.0 meters

^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 34.2 m/s.
- +b) 51.3 m/s.
- -c) 77 m/s.
- -d) 115.5 m/s.
- -e) 173.3 m/s.

- -a) 53.4 m/s.
- -b) 64 m/s.
- +c) 76.9 m/s.
- -d) 92.2 m/s.
- -e) 110.7 m/s.

#### Key: N1[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 6.0 meters
- -c) 4.0 meters
- -d) 7.0 meters
- -e) 5.0 meters

3) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

- -a) 20.0 meters
- +b) 16.0 meters
- -c) 18.0 meters
- -d) 19.0 meters
- -e) 17.0 meters

5) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

6) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

7) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- +d) 10.0 meters
- -e) 11.0 meters

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

9) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

10) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

11) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 6.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 3.0 meters

13) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

14) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- +d) 12.0 meters
- -e) 8.0 meters

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.27 radians.
- -b) 0.31 radians.
- -c) 0.36 radians.
- +d) 0.41 radians.
- -e) 0.47 radians.

#### Key: N2[edit]

- +a) 16.0 meters
- -b) 17.0 meters
- -c) 18.0 meters
- -d) 20.0 meters
- -e) 19.0 meters

2) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- -a) 2.26 x 10
^{-1}m/s^{2} - -b) 4.02 x 10
^{-1}m/s^{2} - +c) 7.15 x 10
^{-1}m/s^{2} - -d) 1.27 x 10
^{0}m/s^{2} - -e) 2.26 x 10
^{0}m/s^{2}

3) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- +a) 52.1 m/s.
- -b) 78.1 m/s.
- -c) 117.2 m/s.
- -d) 175.7 m/s.
- -e) 263.6 m/s.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 3.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

5) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 12.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

6) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

- -a) 0.55m/s/s.
- -b) 0.66m/s/s.
- -c) 0.79m/s/s.
- +d) 0.94m/s/s.
- -e) 1.13m/s/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 4.0 meters
- -c) 5.0 meters
- +d) 3.0 meters
- -e) 6.0 meters

8) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 11.0 meters
- -c) 9.0 meters
- -d) 7.0 meters
- +e) 10.0 meters

9) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

10) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

11) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

14) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

15) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

### Key: O0[edit]

1) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

2) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- +a) 1.16 x 10
^{1}minutes - -b) 1.55 x 10
^{1}minutes - -c) 2.07 x 10
^{1}minutes - -d) 2.76 x 10
^{1}minutes - -e) 3.68 x 10
^{1}minutes

3) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

4) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

- -a) 35.9 s
- -b) 43.08 s
- -c) 51.69 s
- -d) 62.03 s
- +e) 74.43 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

- +a) 20.0 meters
- -b) 22.0 meters
- -c) 23.0 meters
- -d) 21.0 meters
- -e) 19.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- -e) 10.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

#### Key: O1[edit]

1) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

- +a) 20.0 meters
- -b) 21.0 meters
- -c) 22.0 meters
- -d) 23.0 meters
- -e) 19.0 meters

3) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

4) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

5) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

6) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- -a) 9.07 x 10
^{-1}m/s^{2} - -b) 1.61 x 10
^{0}m/s^{2} - -c) 2.87 x 10
^{0}m/s^{2} - -d) 5.1 x 10
^{0}m/s^{2} - +e) 9.07 x 10
^{0}m/s^{2}

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

8) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 53.4 m/s.
- -b) 64 m/s.
- +c) 76.9 m/s.
- -d) 92.2 m/s.
- -e) 110.7 m/s.

- -a) 8.0 meters
- -b) 11.0 meters
- +c) 9.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

12) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

13) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- -b) 4.0 meters
- -c) 7.0 meters
- +d) 3.0 meters
- -e) 5.0 meters

14) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

- +a) 1.16 x 10
^{1}minutes - -b) 1.55 x 10
^{1}minutes - -c) 2.07 x 10
^{1}minutes - -d) 2.76 x 10
^{1}minutes - -e) 3.68 x 10
^{1}minutes

15) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 9.0 meters
- -b) 5.0 meters
- -c) 8.0 meters
- -d) 7.0 meters
- +e) 6.0 meters

#### Key: O2[edit]

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

2) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

- -a) 23.0 meters
- -b) 19.0 meters
- +c) 20.0 meters
- -d) 21.0 meters
- -e) 22.0 meters

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

5) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 38.2 m/s.
- -b) 45.9 m/s.
- -c) 55 m/s.
- -d) 66 m/s.
- +e) 79.2 m/s.

6) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- -a) 5.3 x 10
^{0}minutes - -b) 7.07 x 10
^{0}minutes - -c) 9.42 x 10
^{0}minutes - -d) 1.26 x 10
^{1}minutes - +e) 1.68 x 10
^{1}minutes

7) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.9 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 31.1 m/s.
- -b) 46.7 m/s.
- +c) 70 m/s.
- -d) 105 m/s.
- -e) 157.5 m/s.

- -a) 8.0 meters
- -b) 12.0 meters
- +c) 9.0 meters
- -d) 10.0 meters
- -e) 11.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- +b) 3.0 meters
- -c) 4.0 meters
- -d) 6.0 meters
- -e) 7.0 meters

10) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- -a) 9.07 x 10
^{-1}m/s^{2} - -b) 1.61 x 10
^{0}m/s^{2} - -c) 2.87 x 10
^{0}m/s^{2} - -d) 5.1 x 10
^{0}m/s^{2} - +e) 9.07 x 10
^{0}m/s^{2}

11) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 7.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- +e) 10.0 meters

- -a) 9.0 meters
- -b) 8.0 meters
- -c) 5.0 meters
- +d) 6.0 meters
- -e) 7.0 meters

13) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

15) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

### Key: P0[edit]

1) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- -a) 2.26 x 10
^{-1}m/s^{2} - -b) 4.02 x 10
^{-1}m/s^{2} - +c) 7.15 x 10
^{-1}m/s^{2} - -d) 1.27 x 10
^{0}m/s^{2} - -e) 2.26 x 10
^{0}m/s^{2}

2) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- +d) 10.0 meters
- -e) 9.0 meters

- +a) 20.0 meters
- -b) 23.0 meters
- -c) 21.0 meters
- -d) 19.0 meters
- -e) 22.0 meters

- +a) 16.0 meters
- -b) 19.0 meters
- -c) 20.0 meters
- -d) 18.0 meters
- -e) 17.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 5.0 meters
- -c) 4.0 meters
- -d) 1.0 meters
- -e) 2.0 meters

- -a) 25.0 meters
- -b) 27.0 meters
- -c) 23.0 meters
- -d) 26.0 meters
- +e) 24.0 meters

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- +a) 40.85 degrees.
- -b) 46.98 degrees.
- -c) 54.03 degrees.
- -d) 62.13 degrees.
- -e) 71.45 degrees.

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.1 m/s. What was the muzzle speed of her bullet?

- -a) 7 m/s.
- -b) 10.4 m/s.
- -c) 15.7 m/s.
- +d) 23.5 m/s.
- -e) 35.3 m/s.

#### Key: P1[edit]

1) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

*magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

- +a) 16.0 meters
- -b) 20.0 meters
- -c) 18.0 meters
- -d) 17.0 meters
- -e) 19.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.27 radians.
- -b) 0.31 radians.
- -c) 0.36 radians.
- +d) 0.41 radians.
- -e) 0.47 radians.

5) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 24.0 meters
- -b) 23.0 meters
- -c) 27.0 meters
- -d) 26.0 meters
- -e) 25.0 meters

6) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- +a) 1m/s/s.
- -b) 1.2m/s/s.
- -c) 1.43m/s/s.
- -d) 1.72m/s/s.
- -e) 2.07m/s/s.

7) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

8) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 8.0 meters
- -c) 11.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

11) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- -a) 6.7 m/s.
- -b) 10.1 m/s.
- -c) 15.1 m/s.
- +d) 22.7 m/s.
- -e) 34.1 m/s.

12) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 21.0 meters
- -b) 22.0 meters
- +c) 20.0 meters
- -d) 19.0 meters
- -e) 23.0 meters

13) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 4.0 meters
- -c) 2.0 meters
- -d) 1.0 meters
- -e) 5.0 meters

14) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

15) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

#### Key: P2[edit]

^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

3) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

4) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- -a) 6.7 m/s.
- -b) 10.1 m/s.
- -c) 15.1 m/s.
- +d) 22.7 m/s.
- -e) 34.1 m/s.

5) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 7.0 meters
- +c) 10.0 meters
- -d) 9.0 meters
- -e) 11.0 meters

6) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

7) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

8) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

- -a) 27.0 meters
- -b) 25.0 meters
- -c) 26.0 meters
- -d) 23.0 meters
- +e) 24.0 meters

10) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- -a) 19.0 meters
- +b) 16.0 meters
- -c) 20.0 meters
- -d) 18.0 meters
- -e) 17.0 meters

13) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

14) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 1.0 meters
- -c) 2.0 meters
- -d) 4.0 meters
- -e) 5.0 meters

- -a) 21.0 meters
- -b) 23.0 meters
- +c) 20.0 meters
- -d) 19.0 meters
- -e) 22.0 meters

### Key: Q0[edit]

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

- -a) 4.65 m/s.
- -b) 5.58 m/s.
- +c) 6.69 m/s.
- -d) 8.03 m/s.
- -e) 9.64 m/s.

4) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

- +a) 1m/s/s.
- -b) 1.2m/s/s.
- -c) 1.43m/s/s.
- -d) 1.72m/s/s.
- -e) 2.07m/s/s.

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

6) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 9.0 meters
- +c) 12.0 meters
- -d) 11.0 meters
- -e) 10.0 meters

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- -d) 7.0 meters
- +e) 10.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 7.0 meters
- -e) 6.0 meters

9) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 2.0 meters
- -b) 1.0 meters
- -c) 4.0 meters
- +d) 3.0 meters
- -e) 5.0 meters

- -a) 15.0 meters
- -b) 14.0 meters
- -c) 13.0 meters
- -d) 17.0 meters
- +e) 16.0 meters

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

13) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

- -a) 9.8 m/s.
- -b) 14.7 m/s.
- +c) 22 m/s.
- -d) 33 m/s.
- -e) 49.5 m/s.

#### Key: Q1[edit]

1) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 1.0 meters
- -c) 4.0 meters
- -d) 2.0 meters
- +e) 3.0 meters

2) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

3) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 6.0 meters
- +c) 3.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

6) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- -a) 7.1 m/s.
- -b) 10.7 m/s.
- +c) 16 m/s.
- -d) 24 m/s.
- -e) 36 m/s.

7) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

- +a) 2.07 x 10
^{-1}m/s^{2} - -b) 3.68 x 10
^{-1}m/s^{2} - -c) 6.54 x 10
^{-1}m/s^{2} - -d) 1.16 x 10
^{0}m/s^{2} - -e) 2.07 x 10
^{0}m/s^{2}

8) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

10) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 12.0 meters
- -b) 11.0 meters
- -c) 9.0 meters
- -d) 8.0 meters
- -e) 10.0 meters

11) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 11.0 meters
- +b) 10.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

12) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

13) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- -a) 14.0 meters
- -b) 13.0 meters
- -c) 17.0 meters
- -d) 15.0 meters
- +e) 16.0 meters

14) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

15) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

#### Key: Q2[edit]

1) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.

2) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

3) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 1.0 meters
- +c) 3.0 meters
- -d) 2.0 meters
- -e) 5.0 meters

4) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

5) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

- -a) 0.5m/s/s.
- -b) 0.61m/s/s.
- -c) 0.73m/s/s.
- -d) 0.87m/s/s.
- +e) 1.05m/s/s.

- -a) 8.8 m/s.
- -b) 13.1 m/s.
- +c) 19.7 m/s.
- -d) 29.6 m/s.
- -e) 44.3 m/s.

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 5.0 meters
- -e) 6.0 meters

8) Mr. Smith is backing his car at a speed of 4.27 mph when he hits a cornfield (seed corn). In the course of 1.74 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.17 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

9) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 9.0 meters
- -d) 10.0 meters
- +e) 12.0 meters

- -a) 9.0 meters
- +b) 10.0 meters
- -c) 8.0 meters
- -d) 7.0 meters
- -e) 11.0 meters

- -a) 17.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- -d) 14.0 meters
- +e) 16.0 meters

15) A ball is kicked horizontally from a height of 2.6 m, at a speed of 7.7m/s. How far does it travel before landing?

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

### Key: R0[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

- -a) 1.99 x 10
^{-1}m/s^{2} - -b) 3.53 x 10
^{-1}m/s^{2} - -c) 6.28 x 10
^{-1}m/s^{2} - +d) 1.12 x 10
^{0}m/s^{2} - -e) 1.99 x 10
^{0}m/s^{2}

3) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

4) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 11.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

- -a) 11.0 meters
- -b) 8.0 meters
- +c) 12.0 meters
- -d) 9.0 meters
- -e) 10.0 meters

- -a) 8.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- +e) 6.0 meters

- -a) 22.0 meters
- -b) 23.0 meters
- -c) 19.0 meters
- -d) 21.0 meters
- +e) 20.0 meters

- -a) 13.0 meters
- -b) 17.0 meters
- -c) 14.0 meters
- +d) 16.0 meters
- -e) 15.0 meters

11) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

#### Key: R1[edit]

- -a) 11.0 meters
- -b) 10.0 meters
- -c) 9.0 meters
- +d) 12.0 meters
- -e) 8.0 meters

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

- -a) 23.0 meters
- -b) 21.0 meters
- -c) 19.0 meters
- +d) 20.0 meters
- -e) 22.0 meters

4) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- -c) 11.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

7) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

- -a) 14.0 meters
- -b) 15.0 meters
- +c) 16.0 meters
- -d) 17.0 meters
- -e) 13.0 meters

9) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

11) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

- -a) 2.26 x 10
^{-1}m/s^{2} - -b) 4.02 x 10
^{-1}m/s^{2} - +c) 7.15 x 10
^{-1}m/s^{2} - -d) 1.27 x 10
^{0}m/s^{2} - -e) 2.26 x 10
^{0}m/s^{2}

12) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

- -a) 9.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- +d) 6.0 meters
- -e) 5.0 meters

14) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

15) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

#### Key: R2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.54 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.91 m, and moves at a constant speed of 2.42 m/s in the +y direction. At what time do they meet?

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

3) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

- +a) 16.0 meters
- -b) 13.0 meters
- -c) 15.0 meters
- -d) 14.0 meters
- -e) 17.0 meters

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 9.0 meters

6) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

- -a) 45.27 s
- +b) 54.32 s
- -c) 65.18 s
- -d) 78.22 s
- -e) 93.86 s

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

9) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- +a) 12.0 meters
- -b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- +c) 10.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

11) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

12) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

13) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 22.0 meters
- +b) 20.0 meters
- -c) 19.0 meters
- -d) 21.0 meters
- -e) 23.0 meters

15) A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

### Key: S0[edit]

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- +a) 4.64 x 10
^{0}m/s^{2} - -b) 8.26 x 10
^{0}m/s^{2} - -c) 1.47 x 10
^{1}m/s^{2} - -d) 2.61 x 10
^{1}m/s^{2} - -e) 4.64 x 10
^{1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 3.0 meters
- -e) 4.0 meters

- -a) 8.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- +d) 10.0 meters
- -e) 11.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 6.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- +e) 3.0 meters

- -a) 12.0 meters
- -b) 11.0 meters
- -c) 10.0 meters
- +d) 9.0 meters
- -e) 8.0 meters

- +a) 16.0 meters
- -b) 15.0 meters
- -c) 14.0 meters
- -d) 13.0 meters
- -e) 17.0 meters

- +a) 6.57 m.
- -b) 7.88 m.
- -c) 9.46 m.
- -d) 11.35 m.
- -e) 13.62 m.

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

- -a) 7.1 m/s.
- -b) 10.7 m/s.
- +c) 16 m/s.
- -d) 24 m/s.
- -e) 36 m/s.

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

#### Key: S1[edit]

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 6.0 meters

3) A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m. What is the 'average' acceleration?

- +a) 0.85m/s/s.
- -b) 1.01m/s/s.
- -c) 1.22m/s/s.
- -d) 1.46m/s/s.
- -e) 1.75m/s/s.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 6.0 meters
- -c) 3.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

5) The Smith family is having fun on a high speed train travelling at 48.4 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 26.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.4 m/s.
- -b) 36.7 m/s.
- +c) 55 m/s.
- -d) 82.5 m/s.
- -e) 123.7 m/s.

- -a) 13.0 meters
- -b) 14.0 meters
- -c) 17.0 meters
- -d) 15.0 meters
- +e) 16.0 meters

7) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.43m/s
^{2}. - -b) 2.92m/s
^{2}. - -c) 3.5m/s
^{2}. - +d) 4.2m/s
^{2}. - -e) 5.04m/s
^{2}.

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.24 radians.
- -b) 0.27 radians.
- -c) 0.31 radians.
- -d) 0.36 radians.
- +e) 0.41 radians.

9) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- -a) 9.07 x 10
^{-1}m/s^{2} - -b) 1.61 x 10
^{0}m/s^{2} - -c) 2.87 x 10
^{0}m/s^{2} - -d) 5.1 x 10
^{0}m/s^{2} - +e) 9.07 x 10
^{0}m/s^{2}

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.9 m/s. What was the muzzle speed of her bullet?

- -a) 16.1 m/s.
- +b) 24.2 m/s.
- -c) 36.3 m/s.
- -d) 54.5 m/s.
- -e) 81.7 m/s.

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 11.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

12) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

13) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

14) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

15) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- -b) 10.0 meters
- +c) 9.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

#### Key: S2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

2) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 6.0 meters
- -b) 7.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- +e) 3.0 meters

3) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

- -a) 7.1 m/s.
- -b) 10.7 m/s.
- +c) 16 m/s.
- -d) 24 m/s.
- -e) 36 m/s.

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.18 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.15 m, and moves at a constant speed of 2.88 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.24 radians.
- -b) 0.27 radians.
- -c) 0.31 radians.
- -d) 0.36 radians.
- +e) 0.41 radians.

5) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

6) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

- -a) 8.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- -d) 12.0 meters
- +e) 9.0 meters

8) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

- -a) 11.0 meters
- -b) 8.0 meters
- +c) 10.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

10) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

11) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- -c) 3.0 meters
- -d) 7.0 meters
- +e) 6.0 meters

- +a) 16.0 meters
- -b) 17.0 meters
- -c) 14.0 meters
- -d) 13.0 meters
- -e) 15.0 meters

*magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

14) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

15) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

### Key: T0[edit]

1) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

- -a) 9.07 x 10
^{-1}m/s^{2} - -b) 1.61 x 10
^{0}m/s^{2} - -c) 2.87 x 10
^{0}m/s^{2} - -d) 5.1 x 10
^{0}m/s^{2} - +e) 9.07 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

3) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

4) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

5) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

- +a) 52.36 s
- -b) 62.83 s
- -c) 75.4 s
- -d) 90.47 s
- -e) 108.57 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- +b) 10.0 meters
- -c) 8.0 meters
- -d) 7.0 meters
- -e) 11.0 meters

- +a) 6.0 meters
- -b) 5.0 meters
- -c) 9.0 meters
- -d) 7.0 meters
- -e) 8.0 meters

- -a) 11.0 meters
- -b) 7.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- +e) 10.0 meters

- -a) 8.0 meters
- -b) 11.0 meters
- +c) 9.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

- -a) 25.0 meters
- -b) 26.0 meters
- +c) 24.0 meters
- -d) 23.0 meters
- -e) 27.0 meters

- -a) 2.75 m.
- -b) 3.3 m.
- +c) 3.96 m.
- -d) 4.75 m.
- -e) 5.7 m.

^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

- -a) 0.14 radians.
- -b) 0.16 radians.
- -c) 0.19 radians.
- -d) 0.22 radians.
- +e) 0.25 radians.

14) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 24.8 m/s.
- -b) 37.2 m/s.
- +c) 55.8 m/s.
- -d) 83.7 m/s.
- -e) 125.5 m/s.

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

#### Key: T1[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

3) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

5) A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

- +a) 24.0 meters
- -b) 23.0 meters
- -c) 25.0 meters
- -d) 26.0 meters
- -e) 27.0 meters

7) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

- -a) 12.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- +e) 9.0 meters

9) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 11.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

11) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 35.8 m/s.
- -b) 42.9 m/s.
- -c) 51.5 m/s.
- -d) 61.8 m/s.
- +e) 74.1 m/s.

12) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

13) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

#### Key: T2[edit]

1) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

- -a) 8.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- -d) 5.0 meters
- +e) 6.0 meters

3) A car traveling at 44.6 miles/hour stops in 1.8 seconds. What is the average acceleration?

- -a) 1.11 x 10
^{0}m/s^{2} - -b) 1.97 x 10
^{0}m/s^{2} - -c) 3.5 x 10
^{0}m/s^{2} - -d) 6.23 x 10
^{0}m/s^{2} - +e) 1.11 x 10
^{1}m/s^{2}

4) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

5) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 7.0 meters

7) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

9) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.44 radians.
- -b) 0.51 radians.
- +c) 0.58 radians.
- -d) 0.67 radians.
- -e) 0.77 radians.

- -a) 12.0 meters
- +b) 9.0 meters
- -c) 10.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

12) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 23.0 meters
- -b) 25.0 meters
- -c) 27.0 meters
- +d) 24.0 meters
- -e) 26.0 meters

*magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

14) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 69.3 m/s.
- +b) 83.2 m/s.
- -c) 99.8 m/s.
- -d) 119.8 m/s.
- -e) 143.8 m/s.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

### Key: U0[edit]

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

- -a) 8.07 x 10
^{-1}m/s^{2} - -b) 1.43 x 10
^{0}m/s^{2} - +c) 2.55 x 10
^{0}m/s^{2} - -d) 4.54 x 10
^{0}m/s^{2} - -e) 8.07 x 10
^{0}m/s^{2}

2) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

- -a) 10.0 meters
- -b) 9.0 meters
- +c) 12.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

- -a) 9.0 meters
- -b) 8.0 meters
- -c) 11.0 meters
- +d) 10.0 meters
- -e) 7.0 meters

- +a) 16.0 meters
- -b) 17.0 meters
- -c) 19.0 meters
- -d) 20.0 meters
- -e) 18.0 meters

- -a) 23.0 meters
- -b) 27.0 meters
- +c) 24.0 meters
- -d) 26.0 meters
- -e) 25.0 meters

- -a) 17.0 meters
- +b) 16.0 meters
- -c) 15.0 meters
- -d) 13.0 meters
- -e) 14.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 36.26 degrees.
- +b) 41.7 degrees.
- -c) 47.96 degrees.
- -d) 55.15 degrees.
- -e) 63.43 degrees.

- +a) 0.48 s.
- -b) 0.57 s.
- -c) 0.69 s.
- -d) 0.83 s.
- -e) 0.99 s.

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

#### Key: U1[edit]

1) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

3) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

- +a) 4.64 x 10
^{0}m/s^{2} - -b) 8.26 x 10
^{0}m/s^{2} - -c) 1.47 x 10
^{1}m/s^{2} - -d) 2.61 x 10
^{1}m/s^{2} - -e) 4.64 x 10
^{1}m/s^{2}

- +a) 24.0 meters
- -b) 25.0 meters
- -c) 27.0 meters
- -d) 23.0 meters
- -e) 26.0 meters

- -a) 20.0 meters
- -b) 17.0 meters
- -c) 19.0 meters
- +d) 16.0 meters
- -e) 18.0 meters

6) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

7) The Smith family is having fun on a high speed train travelling at 42.3 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 34.2 m/s.
- +b) 51.3 m/s.
- -c) 77 m/s.
- -d) 115.5 m/s.
- -e) 173.3 m/s.

- -a) 9.0 meters
- -b) 7.0 meters
- -c) 11.0 meters
- +d) 10.0 meters
- -e) 8.0 meters

- -a) 15.0 meters
- -b) 14.0 meters
- +c) 16.0 meters
- -d) 17.0 meters
- -e) 13.0 meters

10) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 8.0 meters
- -b) 11.0 meters
- -c) 9.0 meters
- +d) 12.0 meters
- -e) 10.0 meters

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.1 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.79 m, and moves at a constant speed of 2.87 m/s in the +y direction. At what time do they meet?

- -a) 0.43 s.
- +b) 0.52 s.
- -c) 0.62 s.
- -d) 0.75 s.
- -e) 0.9 s.

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

14) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

15) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 2.2 m/s^{2} in the y direction, as well as an acceleration of 0.8 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 26.14 degrees.
- -b) 30.07 degrees.
- -c) 34.58 degrees.
- -d) 39.76 degrees.
- +e) 45.73 degrees.

#### Key: U2[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

2) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

- +a) 24.0 meters
- -b) 26.0 meters
- -c) 23.0 meters
- -d) 27.0 meters
- -e) 25.0 meters

5) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.86 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.46 m, and moves at a constant speed of 2.23 m/s in the +y direction. At what time do they meet?

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

6) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

7) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

- -a) 46.15 s
- -b) 55.38 s
- +c) 66.46 s
- -d) 79.75 s
- -e) 95.7 s

8) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 40.8 m/s.
- -b) 48.9 m/s.
- -c) 58.7 m/s.
- -d) 70.4 m/s.
- +e) 84.5 m/s.

9) What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

10) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

- -a) 18.0 meters
- +b) 16.0 meters
- -c) 20.0 meters
- -d) 17.0 meters
- -e) 19.0 meters

- -a) 8.0 meters
- -b) 11.0 meters
- -c) 10.0 meters
- -d) 9.0 meters
- +e) 12.0 meters

13) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

- -a) 13.0 meters
- -b) 17.0 meters
- -c) 14.0 meters
- +d) 16.0 meters
- -e) 15.0 meters

- -a) 0.27 radians.
- -b) 0.31 radians.
- -c) 0.36 radians.
- +d) 0.41 radians.
- -e) 0.47 radians.

### Key: V0[edit]

1) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 3.36 x 10
^{0}miles per hour per second - -b) 4.24 x 10
^{0}miles per hour per second - -c) 5.33 x 10
^{0}miles per hour per second - +d) 6.71 x 10
^{0}miles per hour per second - -e) 8.45 x 10
^{0}miles per hour per second

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

4) What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 11.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 9.0 meters

- -a) 8.0 meters
- +b) 6.0 meters
- -c) 5.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

- +a) 10.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 11.0 meters

- -a) 22.0 meters
- -b) 19.0 meters
- -c) 21.0 meters
- -d) 23.0 meters
- +e) 20.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 2.0 meters
- -c) 5.0 meters
- -d) 1.0 meters
- -e) 4.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

- -a) 0.16 radians.
- -b) 0.19 radians.
- -c) 0.22 radians.
- -d) 0.25 radians.
- +e) 0.29 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

#### Key: V1[edit]

1) A particle is initially at the origin and moving in the x direction at a speed of 4 m/s. It has an constant acceleration of 1.8 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- +a) 40.85 degrees.
- -b) 46.98 degrees.
- -c) 54.03 degrees.
- -d) 62.13 degrees.
- -e) 71.45 degrees.

2) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 8.0 meters
- -d) 11.0 meters
- -e) 9.0 meters

3) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

4) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

- -a) 6.66 m/s.
- -b) 7.99 m/s.
- +c) 9.59 m/s.
- -d) 11.5 m/s.
- -e) 13.8 m/s.

- -a) 21.0 meters
- +b) 20.0 meters
- -c) 23.0 meters
- -d) 22.0 meters
- -e) 19.0 meters

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

7) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

8) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 1.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 2.0 meters

9) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.03 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.12 m, and moves at a constant speed of 2 m/s in the +y direction. At what time do they meet?

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 11.0 meters

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.42 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.17 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.27 radians.
- -b) 0.31 radians.
- -c) 0.36 radians.
- +d) 0.41 radians.
- -e) 0.47 radians.

12) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

13) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

14) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- -a) 5.0 meters
- -b) 8.0 meters
- +c) 6.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

15) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.94 x 10
^{0}miles per hour per second - -b) 3.7 x 10
^{0}miles per hour per second - -c) 4.66 x 10
^{0}miles per hour per second - -d) 5.87 x 10
^{0}miles per hour per second - +e) 7.39 x 10
^{0}miles per hour per second

#### Key: V2[edit]

1) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 10.0 meters
- -c) 9.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

2) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

3) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

- +a) 1m/s/s.
- -b) 1.2m/s/s.
- -c) 1.43m/s/s.
- -d) 1.72m/s/s.
- -e) 2.07m/s/s.

6) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

- -a) 8.0 meters
- +b) 10.0 meters
- -c) 11.0 meters
- -d) 7.0 meters
- -e) 9.0 meters

- -a) 7.0 meters
- -b) 8.0 meters
- -c) 5.0 meters
- +d) 6.0 meters
- -e) 9.0 meters

- -a) 23.0 meters
- -b) 22.0 meters
- -c) 19.0 meters
- -d) 21.0 meters
- +e) 20.0 meters

10) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 10.7 m/s.
- -b) 16 m/s.
- -c) 24 m/s.
- -d) 36 m/s.
- +e) 54 m/s.

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

13) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 5.0 meters
- -d) 1.0 meters
- -e) 2.0 meters

- -a) 20.5 m/s.
- -b) 30.7 m/s.
- -c) 46.1 m/s.
- +d) 69.1 m/s.
- -e) 103.7 m/s.

15) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

### Key: W0[edit]

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

- +a) 1.77 x 10
^{1}m/s^{2} - -b) 3.15 x 10
^{1}m/s^{2} - -c) 5.61 x 10
^{1}m/s^{2} - -d) 9.98 x 10
^{1}m/s^{2} - -e) 1.77 x 10
^{2}m/s^{2}

2) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

- -a) 6.08 m/s.
- +b) 7.3 m/s.
- -c) 8.76 m/s.
- -d) 10.51 m/s.
- -e) 12.61 m/s.

4) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

- +a) 4.24m/s
^{2}. - -b) 5.08m/s
^{2}. - -c) 6.1m/s
^{2}. - -d) 7.32m/s
^{2}. - -e) 8.78m/s
^{2}.

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 6.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 3.0 meters

- -a) 8.0 meters
- +b) 6.0 meters
- -c) 5.0 meters
- -d) 9.0 meters
- -e) 7.0 meters

- -a) 11.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- -d) 8.0 meters
- +e) 10.0 meters

- +a) 20.0 meters
- -b) 23.0 meters
- -c) 19.0 meters
- -d) 22.0 meters
- -e) 21.0 meters

10) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 6.0 meters
- -e) 4.0 meters

11) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

- -a) 6.52 m.
- +b) 7.82 m.
- -c) 9.39 m.
- -d) 11.27 m.
- -e) 13.52 m.

12) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

- -a) 0.14 radians.
- -b) 0.16 radians.
- -c) 0.19 radians.
- -d) 0.22 radians.
- +e) 0.25 radians.

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

#### Key: W1[edit]

1) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 7.0 meters
- +c) 10.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

2) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 38.2 m/s.
- -b) 45.9 m/s.
- -c) 55 m/s.
- -d) 66 m/s.
- +e) 79.2 m/s.

- -a) 3.42m/s
^{2}. - -b) 4.11m/s
^{2}. - +c) 4.93m/s
^{2}. - -d) 5.92m/s
^{2}. - -e) 7.1m/s
^{2}.

- -a) 7.0 meters
- +b) 6.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- -e) 5.0 meters

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

6) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 22.9 m/s.
- -b) 34.4 m/s.
- -c) 51.5 m/s.
- +d) 77.3 m/s.
- -e) 116 m/s.

7) A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m. What is the 'average' acceleration?

- -a) 0.28m/s/s.
- -b) 0.33m/s/s.
- -c) 0.4m/s/s.
- +d) 0.48m/s/s.
- -e) 0.57m/s/s.

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 6.0 meters
- +c) 3.0 meters
- -d) 4.0 meters
- -e) 5.0 meters

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 3.0 meters
- +e) 6.0 meters

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.18 radians.
- -b) 0.21 radians.
- -c) 0.24 radians.
- -d) 0.28 radians.
- +e) 0.32 radians.

11) A car traveling at 77.8 miles/hour stops in 6.4 seconds. What is the average acceleration?

- -a) 3.06 x 10
^{0}m/s^{2} - +b) 5.43 x 10
^{0}m/s^{2} - -c) 9.66 x 10
^{0}m/s^{2} - -d) 1.72 x 10
^{1}m/s^{2} - -e) 3.06 x 10
^{1}m/s^{2}

- -a) 19.0 meters
- -b) 21.0 meters
- -c) 22.0 meters
- -d) 23.0 meters
- +e) 20.0 meters

13) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

14) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

- -a) 21.32 degrees.
- -b) 24.51 degrees.
- -c) 28.19 degrees.
- +d) 32.42 degrees.
- -e) 37.28 degrees.

*magnitude* ( absolute value) of his acceleration?

- -a) 2.94 x 10
^{0}miles per hour per second - -b) 3.7 x 10
^{0}miles per hour per second - -c) 4.66 x 10
^{0}miles per hour per second - -d) 5.87 x 10
^{0}miles per hour per second - +e) 7.39 x 10
^{0}miles per hour per second

#### Key: W2[edit]

1) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.26 radians.
- -b) 0.3 radians.
- -c) 0.34 radians.
- -d) 0.39 radians.
- +e) 0.45 radians.

- -a) 23.0 meters
- +b) 20.0 meters
- -c) 22.0 meters
- -d) 21.0 meters
- -e) 19.0 meters

3) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

- -a) 37.12 degrees.
- +b) 42.69 degrees.
- -c) 49.09 degrees.
- -d) 56.45 degrees.
- -e) 64.92 degrees.

4) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 5.0 meters
- -c) 3.0 meters
- -d) 7.0 meters
- +e) 6.0 meters

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

6) What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- +a) 6.0 meters
- -b) 7.0 meters
- -c) 9.0 meters
- -d) 5.0 meters
- -e) 8.0 meters

8) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 46.7 m/s.
- +b) 70 m/s.
- -c) 105 m/s.
- -d) 157.5 m/s.
- -e) 236.3 m/s.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 7.0 meters
- +c) 3.0 meters
- -d) 6.0 meters
- -e) 5.0 meters

- +a) 7.11 m/s.
- -b) 8.53 m/s.
- -c) 10.24 m/s.
- -d) 12.28 m/s.
- -e) 14.74 m/s.

11) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

- -a) 4.56 x 10
^{0}m/s^{2} - +b) 8.11 x 10
^{0}m/s^{2} - -c) 1.44 x 10
^{1}m/s^{2} - -d) 2.56 x 10
^{1}m/s^{2} - -e) 4.56 x 10
^{1}m/s^{2}

12) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- -a) 69.3 m/s.
- +b) 83.2 m/s.
- -c) 99.8 m/s.
- -d) 119.8 m/s.
- -e) 143.8 m/s.

13) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the *magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

- -a) 11.0 meters
- -b) 9.0 meters
- -c) 8.0 meters
- +d) 10.0 meters
- -e) 7.0 meters

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

### Key: X0[edit]

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

- -a) 3.83m/s/2.
- -b) 4.6m/s/2.
- -c) 5.52m/s/2.
- +d) 6.62m/s/2.
- -e) 7.95m/s/2.

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 6.0 meters
- -c) 5.0 meters
- -d) 3.0 meters
- -e) 7.0 meters

- -a) 5.0 meters
- +b) 6.0 meters
- -c) 7.0 meters
- -d) 9.0 meters
- -e) 8.0 meters

8) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- -b) 7.0 meters
- -c) 5.0 meters
- -d) 6.0 meters
- +e) 3.0 meters

- -a) 10.0 meters
- -b) 11.0 meters
- +c) 9.0 meters
- -d) 8.0 meters
- -e) 12.0 meters

10) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- +a) 3.0 meters
- -b) 1.0 meters
- -c) 5.0 meters
- -d) 2.0 meters
- -e) 4.0 meters

11) A ball is kicked horizontally from a height of 2.9 m, at a speed of 7.4m/s. How far does it travel before landing?

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

- +a) 74.8 m/s.
- -b) 89.8 m/s.
- -c) 107.7 m/s.
- -d) 129.3 m/s.
- -e) 155.1 m/s.

#### Key: X1[edit]

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- +b) 3.0 meters
- -c) 6.0 meters
- -d) 7.0 meters
- -e) 4.0 meters

2) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 3.0 meters
- -c) 4.0 meters
- +d) 6.0 meters
- -e) 5.0 meters

3) The Smith family got in trouble for having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 89.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 74.8 m/s.
- -b) 89.8 m/s.
- -c) 107.7 m/s.
- -d) 129.3 m/s.
- -e) 155.1 m/s.

4) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

- -a) 3.6 m.
- -b) 4.32 m.
- -c) 5.18 m.
- +d) 6.21 m.
- -e) 7.46 m.

- +a) 6.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- -d) 8.0 meters
- -e) 9.0 meters

6) A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

- -a) 30.2 s
- -b) 36.24 s
- -c) 43.49 s
- +d) 52.19 s
- -e) 62.63 s

- -a) 2.43m/s
^{2}. - -b) 2.92m/s
^{2}. - -c) 3.5m/s
^{2}. - +d) 4.2m/s
^{2}. - -e) 5.04m/s
^{2}.

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 28.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 15 m/s.
- -b) 22.4 m/s.
- -c) 33.6 m/s.
- -d) 50.5 m/s.
- +e) 75.7 m/s.

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

- -a) 2.26 x 10
^{-1}m/s^{2} - -b) 4.02 x 10
^{-1}m/s^{2} - +c) 7.15 x 10
^{-1}m/s^{2} - -d) 1.27 x 10
^{0}m/s^{2} - -e) 2.26 x 10
^{0}m/s^{2}

- -a) 5.39 m/s.
- -b) 6.47 m/s.
- +c) 7.76 m/s.
- -d) 9.31 m/s.
- -e) 11.18 m/s.

- +a) 9.0 meters
- -b) 10.0 meters
- -c) 11.0 meters
- -d) 8.0 meters
- -e) 12.0 meters

*magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

14) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 4.0 meters
- +c) 3.0 meters
- -d) 2.0 meters
- -e) 1.0 meters

15) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

#### Key: X2[edit]

1) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- -b) 10.0 meters
- +c) 9.0 meters
- -d) 8.0 meters
- -e) 11.0 meters

2) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

- +a) 81.8 m/s.
- -b) 98.2 m/s.
- -c) 117.8 m/s.
- -d) 141.4 m/s.
- -e) 169.6 m/s.

- -a) 2.43m/s
^{2}. - -b) 2.92m/s
^{2}. - -c) 3.5m/s
^{2}. - +d) 4.2m/s
^{2}. - -e) 5.04m/s
^{2}.

4) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

- -a) 5.12 x 10
^{-2}m/s^{2} - -b) 9.11 x 10
^{-2}m/s^{2} - +c) 1.62 x 10
^{-1}m/s^{2} - -d) 2.88 x 10
^{-1}m/s^{2} - -e) 5.12 x 10
^{-1}m/s^{2}

5) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- -a) 2.0 meters
- -b) 4.0 meters
- +c) 3.0 meters
- -d) 1.0 meters
- -e) 5.0 meters

- +a) 6.0 meters
- -b) 9.0 meters
- -c) 8.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

- -a) 0.15 s.
- -b) 0.18 s.
- -c) 0.22 s.
- -d) 0.26 s.
- +e) 0.31 s.

8) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 3.0 meters
- -b) 5.0 meters
- -c) 7.0 meters
- +d) 6.0 meters
- -e) 4.0 meters

9) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 21.1 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

- -a) 4.74 m.
- +b) 5.69 m.
- -c) 6.83 m.
- -d) 8.2 m.
- -e) 9.84 m.

12) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 6.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- +e) 3.0 meters

13) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

14) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s^{2} in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

- -a) 32.04 degrees.
- -b) 36.85 degrees.
- -c) 42.37 degrees.
- +d) 48.73 degrees.
- -e) 56.04 degrees.

15) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

### Key: Y0[edit]

1) A car completes a complete circle of radius 3 miles at a speed of 67.5 miles per hour. How many minutes does it take?

- -a) 5.3 x 10
^{0}minutes - -b) 7.07 x 10
^{0}minutes - -c) 9.42 x 10
^{0}minutes - -d) 1.26 x 10
^{1}minutes - +e) 1.68 x 10
^{1}minutes

*magnitude* ( absolute value) of his acceleration?

- +a) 6 x 10
^{0}miles per hour per second - -b) 7.55 x 10
^{0}miles per hour per second - -c) 9.51 x 10
^{0}miles per hour per second - -d) 1.2 x 10
^{1}miles per hour per second - -e) 1.51 x 10
^{1}miles per hour per second

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- -a) 1.83m/s/s.
- -b) 2.19m/s/s.
- -c) 2.63m/s/s.
- +d) 3.16m/s/s.
- -e) 3.79m/s/s.

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 11.0 meters
- -c) 8.0 meters
- +d) 10.0 meters
- -e) 9.0 meters

- -a) 7.0 meters
- -b) 5.0 meters
- -c) 8.0 meters
- -d) 9.0 meters
- +e) 6.0 meters

- -a) 23.0 meters
- -b) 21.0 meters
- -c) 22.0 meters
- -d) 19.0 meters
- +e) 20.0 meters

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- +b) 3.0 meters
- -c) 6.0 meters
- -d) 5.0 meters
- -e) 4.0 meters

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 10.0 meters
- -d) 12.0 meters
- +e) 9.0 meters

- -a) 4.67 m.
- +b) 5.61 m.
- -c) 6.73 m.
- -d) 8.08 m.
- -e) 9.69 m.

- +a) 0.45 s.
- -b) 0.54 s.
- -c) 0.65 s.
- -d) 0.78 s.
- -e) 0.94 s.

- -a) 0.44 radians.
- -b) 0.51 radians.
- +c) 0.58 radians.
- -d) 0.67 radians.
- -e) 0.77 radians.

14) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 24.4 m/s. What was the muzzle speed of her bullet?

- -a) 6.7 m/s.
- -b) 10.1 m/s.
- -c) 15.1 m/s.
- +d) 22.7 m/s.
- -e) 34.1 m/s.

#### Key: Y1[edit]

1) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

- -a) 3.41 x 10
^{0}minutes - -b) 4.54 x 10
^{0}minutes - -c) 6.06 x 10
^{0}minutes - -d) 8.08 x 10
^{0}minutes - +e) 1.08 x 10
^{1}minutes

2) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

- -a) 15.9 m/s.
- +b) 23.9 m/s.
- -c) 35.9 m/s.
- -d) 53.8 m/s.
- -e) 80.7 m/s.

- -a) 23.0 meters
- -b) 19.0 meters
- -c) 22.0 meters
- -d) 21.0 meters
- +e) 20.0 meters

4) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- -a) 9.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- -d) 11.0 meters
- +e) 10.0 meters

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

- -a) 0.42 radians.
- +b) 0.49 radians.
- -c) 0.56 radians.
- -d) 0.65 radians.
- -e) 0.74 radians.

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

- -a) 0.99m/s/s.
- -b) 1.19m/s/s.
- -c) 1.43m/s/s.
- +d) 1.72m/s/s.
- -e) 2.06m/s/s.

8) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

- -a) 5.5m/s/2.
- -b) 6.6m/s/2.
- -c) 7.92m/s/2.
- +d) 9.5m/s/2.
- -e) 11.41m/s/2.

9) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

- -a) 2.87 m.
- -b) 3.44 m.
- -c) 4.13 m.
- -d) 4.96 m.
- +e) 5.95 m.

10) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

- -a) 0.33 s.
- -b) 0.39 s.
- -c) 0.47 s.
- +d) 0.56 s.
- -e) 0.68 s.

11) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- +b) 3.0 meters
- -c) 4.0 meters
- -d) 6.0 meters
- -e) 7.0 meters

- -a) 9.0 meters
- -b) 8.0 meters
- -c) 7.0 meters
- +d) 6.0 meters
- -e) 5.0 meters

13) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.61 x 10
^{0}miles per hour per second - -b) 2.03 x 10
^{0}miles per hour per second - +c) 2.55 x 10
^{0}miles per hour per second - -d) 3.22 x 10
^{0}miles per hour per second - -e) 4.05 x 10
^{0}miles per hour per second

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

- -a) 11.0 meters
- -b) 8.0 meters
- -c) 10.0 meters
- -d) 12.0 meters
- +e) 9.0 meters

#### Key: Y2[edit]

- -a) 0.23 s.
- -b) 0.27 s.
- +c) 0.33 s.
- -d) 0.4 s.
- -e) 0.47 s.

- -a) 7.0 meters
- -b) 5.0 meters
- -c) 9.0 meters
- +d) 6.0 meters
- -e) 8.0 meters

3) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- +a) 10.0 meters
- -b) 9.0 meters
- -c) 7.0 meters
- -d) 11.0 meters
- -e) 8.0 meters

4) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 5.0 meters
- -c) 6.0 meters
- +d) 3.0 meters
- -e) 4.0 meters

- -a) 13.7 m/s.
- -b) 20.5 m/s.
- -c) 30.8 m/s.
- -d) 46.1 m/s.
- +e) 69.2 m/s.

- -a) 8.6 m/s.
- -b) 12.9 m/s.
- +c) 19.4 m/s.
- -d) 29.1 m/s.
- -e) 43.7 m/s.

7) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.11 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.69 m, and moves at a constant speed of 2.23 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.26 radians.
- -b) 0.3 radians.
- -c) 0.34 radians.
- -d) 0.39 radians.
- +e) 0.45 radians.

8) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

- -a) 43.98 s
- -b) 52.78 s
- -c) 63.33 s
- +d) 76 s
- -e) 91.2 s

9) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 1.85 x 10
^{0}miles per hour per second - -b) 2.33 x 10
^{0}miles per hour per second - -c) 2.93 x 10
^{0}miles per hour per second - +d) 3.69 x 10
^{0}miles per hour per second - -e) 4.64 x 10
^{0}miles per hour per second

10) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.87m/s
^{2}. - -b) 3.44m/s
^{2}. - -c) 4.13m/s
^{2}. - -d) 4.95m/s
^{2}. - +e) 5.94m/s
^{2}.

- -a) 11.0 meters
- -b) 10.0 meters
- -c) 12.0 meters
- -d) 8.0 meters
- +e) 9.0 meters

12) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

- -a) 0.77m/s/s.
- +b) 0.92m/s/s.
- -c) 1.1m/s/s.
- -d) 1.33m/s/s.
- -e) 1.59m/s/s.

- -a) 3.46 m.
- -b) 4.15 m.
- -c) 4.98 m.
- +d) 5.97 m.
- -e) 7.17 m.

14) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

- -a) 1.37 x 10
^{1}minutes - +b) 1.82 x 10
^{1}minutes - -c) 2.43 x 10
^{1}minutes - -d) 3.24 x 10
^{1}minutes - -e) 4.32 x 10
^{1}minutes

- -a) 23.0 meters
- -b) 21.0 meters
- -c) 22.0 meters
- -d) 19.0 meters
- +e) 20.0 meters

### Key: Z0[edit]

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

*magnitude* ( absolute value) of his acceleration?

- +a) 3.95 x 10
^{0}miles per hour per second - -b) 4.97 x 10
^{0}miles per hour per second - -c) 6.26 x 10
^{0}miles per hour per second - -d) 7.88 x 10
^{0}miles per hour per second - -e) 9.92 x 10
^{0}miles per hour per second

- +a) 8.13 m/s.
- -b) 9.76 m/s.
- -c) 11.71 m/s.
- -d) 14.06 m/s.
- -e) 16.87 m/s.

- -a) 6.66m/s
^{2}. - -b) 7.99m/s
^{2}. - +c) 9.59m/s
^{2}. - -d) 11.51m/s
^{2}. - -e) 13.81m/s
^{2}.

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

6) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 3.0 meters
- +b) 6.0 meters
- -c) 4.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

7) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 7.0 meters
- -b) 4.0 meters
- -c) 5.0 meters
- -d) 6.0 meters
- +e) 3.0 meters

- -a) 12.0 meters
- -b) 8.0 meters
- -c) 11.0 meters
- +d) 9.0 meters
- -e) 10.0 meters

- +a) 16.0 meters
- -b) 19.0 meters
- -c) 17.0 meters
- -d) 20.0 meters
- -e) 18.0 meters

- +a) 24.0 meters
- -b) 27.0 meters
- -c) 26.0 meters
- -d) 25.0 meters
- -e) 23.0 meters

11) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s^{2} in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

- -a) 27.27 degrees.
- -b) 31.37 degrees.
- +c) 36.07 degrees.
- -d) 41.48 degrees.
- -e) 47.7 degrees.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

- -a) 0.21 s.
- -b) 0.25 s.
- -c) 0.3 s.
- -d) 0.36 s.
- +e) 0.43 s.

- -a) 0.21 radians.
- -b) 0.24 radians.
- -c) 0.27 radians.
- -d) 0.31 radians.
- +e) 0.36 radians.

- -a) 30 m/s.
- -b) 45 m/s.
- +c) 67.5 m/s.
- -d) 101.3 m/s.
- -e) 151.9 m/s.

- -a) 24.6 m/s.
- -b) 36.8 m/s.
- +c) 55.2 m/s.
- -d) 82.9 m/s.
- -e) 124.3 m/s.

#### Key: Z1[edit]

- +a) 24.0 meters
- -b) 23.0 meters
- -c) 25.0 meters
- -d) 26.0 meters
- -e) 27.0 meters

2) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- -a) 12.0 meters
- -b) 8.0 meters
- +c) 9.0 meters
- -d) 10.0 meters
- -e) 11.0 meters

3) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- +a) 6.0 meters
- -b) 4.0 meters
- -c) 7.0 meters
- -d) 3.0 meters
- -e) 5.0 meters

4) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

^{2} in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

- -a) 17.34 degrees.
- -b) 19.94 degrees.
- -c) 22.94 degrees.
- -d) 26.38 degrees.
- +e) 30.33 degrees.

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

7) Mr. Smith is backing his car at a speed of 3.8 mph when he hits a cornfield (seed corn). In the course of 2.16 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.9 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.25 x 10
^{0}miles per hour per second - -b) 2.83 x 10
^{0}miles per hour per second - -c) 3.57 x 10
^{0}miles per hour per second - +d) 4.49 x 10
^{0}miles per hour per second - -e) 5.65 x 10
^{0}miles per hour per second

8) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.

9) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 6.0 meters
- -d) 5.0 meters
- -e) 7.0 meters

10) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 16.4 m/s.
- -b) 24.7 m/s.
- -c) 37 m/s.
- +d) 55.5 m/s.
- -e) 83.3 m/s.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

- -a) 0.14 radians.
- -b) 0.16 radians.
- -c) 0.19 radians.
- -d) 0.22 radians.
- +e) 0.25 radians.

12) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

- -a) 5.09 m/s.
- -b) 6.11 m/s.
- -c) 7.33 m/s.
- +d) 8.79 m/s.
- -e) 10.55 m/s.

- -a) 39.17 s
- -b) 47 s
- +c) 56.4 s
- -d) 67.68 s
- -e) 81.22 s

- +a) 16.0 meters
- -b) 20.0 meters
- -c) 19.0 meters
- -d) 17.0 meters
- -e) 18.0 meters

15) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

- -a) 1.33 x 10
^{-1}m/s^{2} - +b) 2.37 x 10
^{-1}m/s^{2} - -c) 4.22 x 10
^{-1}m/s^{2} - -d) 7.5 x 10
^{-1}m/s^{2} - -e) 1.33 x 10
^{0}m/s^{2}

#### Key: Z2[edit]

- -a) 0.26 radians.
- -b) 0.3 radians.
- -c) 0.34 radians.
- -d) 0.39 radians.
- +e) 0.45 radians.

2) What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

- -a) 2.37m/s/2.
- -b) 2.85m/s/2.
- -c) 3.42m/s/2.
- +d) 4.1m/s/2.
- -e) 4.92m/s/2.

- -a) 20.0 meters
- +b) 16.0 meters
- -c) 18.0 meters
- -d) 17.0 meters
- -e) 19.0 meters

4) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- -a) 4.0 meters
- +b) 3.0 meters
- -c) 7.0 meters
- -d) 5.0 meters
- -e) 6.0 meters

- -a) 0.41 s.
- +b) 0.49 s.
- -c) 0.58 s.
- -d) 0.7 s.
- -e) 0.84 s.

6) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

- -a) 4.95 m/s.
- -b) 5.94 m/s.
- +c) 7.13 m/s.
- -d) 8.56 m/s.
- -e) 10.27 m/s.

7) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

- -a) 5.0 meters
- -b) 4.0 meters
- +c) 6.0 meters
- -d) 7.0 meters
- -e) 3.0 meters

8) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

- -a) 16.4 m/s.
- -b) 24.7 m/s.
- -c) 37 m/s.
- +d) 55.5 m/s.
- -e) 83.3 m/s.

9) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

- -a) 8.8 x 10
^{-2}m/s^{2} - -b) 1.57 x 10
^{-1}m/s^{2} - +c) 2.78 x 10
^{-1}m/s^{2} - -d) 4.95 x 10
^{-1}m/s^{2} - -e) 8.8 x 10
^{-1}m/s^{2}

- -a) 25.0 meters
- -b) 23.0 meters
- -c) 27.0 meters
- -d) 26.0 meters
- +e) 24.0 meters

- -a) 42.36 s
- -b) 50.83 s
- -c) 61 s
- +d) 73.2 s
- -e) 87.84 s

^{2} in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

- -a) 31.37 degrees.
- -b) 36.07 degrees.
- -c) 41.48 degrees.
- +d) 47.71 degrees.
- -e) 54.86 degrees.

13) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the *magnitude* ( absolute value) of his acceleration?

- -a) 2.94 x 10
^{0}miles per hour per second - -b) 3.7 x 10
^{0}miles per hour per second - -c) 4.66 x 10
^{0}miles per hour per second - -d) 5.87 x 10
^{0}miles per hour per second - +e) 7.39 x 10
^{0}miles per hour per second

- -a) 11.0 meters
- -b) 8.0 meters
- +c) 9.0 meters
- -d) 10.0 meters
- -e) 12.0 meters

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

- +a) 70.9 m/s.
- -b) 106.4 m/s.
- -c) 159.5 m/s.
- -d) 239.3 m/s.
- -e) 358.9 m/s.