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?
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.)
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?
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?
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?
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?
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?
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)?
9 A car traveling at 49.6 miles/hour stops in 2.1 seconds. What is the average acceleration?
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?
11 A car traveling at 34.6 mph increases its speed to 39.1 mph in 6.2 seconds. What is the average acceleration?
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?
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?
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?
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?
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)?