# Physics equations/Exams for calculus based first semester course (Summer 2014

## Contents

### 40513 wed quiz

1

A car is accelerating uniformly at an acceleration of 4.35m/s/s. At x = 4m, the speed is 4.95m/s. How fast is it moving at x = 12.25 m?

 a) 6.81 m/s. b) 8.18 m/s. c) 9.81 m/s. d) 11.77 m/s. e) 14.13 m/s.

2

What is the acceleration if a car travelling at 10.1 m/s makes a skid mark that is 8.25 m long before coming to rest? (Assume uniform acceleration.)

 a) 5.15m/s/2. b) 6.18m/s/2. c) 7.42m/s/2. d) 8.9m/s/2. e) 10.68m/s/2.

3

A train accelerates uniformly from 15 m/s to 32.25 m/s, while travelling a distance of 243 m. What is the 'average' acceleration?

 a) 1.4m/s/s. b) 1.68m/s/s. c) 2.01m/s/s. d) 2.42m/s/s. e) 2.9m/s/s.

4

A particle accelerates uniformly at 17.5 m/s/s. How long does it take for the velocity to increase from 1103 m/s to 1937 m/s?

 a) 22.98 s b) 27.58 s c) 33.1 s d) 39.71 s e) 47.66 s

5

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 24.2 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) 31.9 m/s. b) 47.9 m/s. c) 71.8 m/s. d) 107.7 m/s. e) 161.6 m/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 26.7 m/s. What was the muzzle speed of her bullet?

 a) 9.3 m/s. b) 13.9 m/s. c) 20.9 m/s. d) 31.4 m/s. e) 47 m/s.

7

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 21.7 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) 52.3 m/s. b) 78.5 m/s. c) 117.7 m/s. d) 176.6 m/s. e) 264.8 m/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 95.9 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

 a) 83.3 m/s. b) 99.9 m/s. c) 119.9 m/s. d) 143.9 m/s. e) 172.6 m/s.

9

A car traveling at 49.6 miles/hour stops in 2.1 seconds. What is the average acceleration?

 a) 5.94 x 100 m/s2 b) 1.06 x 101 m/s2 c) 1.88 x 101 m/s2 d) 3.34 x 101 m/s2 e) 5.94 x 101 m/s2

10

A car completes a complete circle of radius 2.9 miles at a speed of 69.5 miles per hour. How many minutes does it take?

 a) 1.18 x 101 minutes b) 1.57 x 101 minutes c) 2.1 x 101 minutes d) 2.8 x 101 minutes e) 3.73 x 101 minutes

11

A car traveling at 34.6 mph increases its speed to 39.1 mph in 6.2 seconds. What is the average acceleration?

 a) 3.24 x 10-1 m/s2 b) 5.77 x 10-1 m/s2 c) 1.03 x 100 m/s2 d) 1.82 x 100 m/s2 e) 3.24 x 100 m/s2

12

Mr. Smith is backing his car at a speed of 3.92 mph when he hits a cornfield (seed corn). In the course of 1.65 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.35 mph. What was the magnitude ( absolute value) of his acceleration?

 a) 6.22 x 100 miles per hour per second b) 7.84 x 100 miles per hour per second c) 9.86 x 100 miles per hour per second d) 1.24 x 101 miles per hour per second e) 1.56 x 101 miles per hour per second

### 140521 Wed quiz

1

A ball is kicked horizontally from a height of 2.1 m, at a speed of 8.6m/s. How far does it travel before landing?

 a) 3.91 m. b) 4.69 m. c) 5.63 m. d) 6.76 m. e) 8.11 m.

2

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 2.1 m/s2 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 = 2.7 s?

 a) 41.72 degrees. b) 47.97 degrees. c) 55.17 degrees. d) 63.45 degrees. e) 72.96 degrees.

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 7.43 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 2.88 m/s in the +y direction. At what time do they meet?

 a) 0.34 s. b) 0.41 s. c) 0.49 s. d) 0.59 s. e) 0.7 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 5.99 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.48 m, and moves at a constant speed of 2.56 m/s in the +y direction. What is the value of θ (in radians)?