Links to answers and explanations are at the are at the end of the problem set.
1. At a speed of 4.5 m/s, how far does a runner get in 40 seconds?
2. At a speed of 4.5 m/s, how far does a runner get in 120 seconds?
3. Two runners travel at the same speed. One travels for 40 seconds and goes 100 meters. The other travels for 120 seconds. Use a proportionality to show how far the second runner goes.
4. Two cars travel at the same speed. One travels for 15 minutes and goes 50 kilometers. The other travels for 38 minutes. Use a proportionality to show how far it goes?
5. What is the acceleration of a rocket that increases its speed from 185 m/s to 315 m/s in a period of 6.5 seconds?
6. If a cheetah accelerates from rest at 5 m/s2, how fast is it going after 10 seconds?
7. An airplane taxiing on the ground starts from rest and accelerates at 20 m/s2. How far does it go in 30 seconds? How far does it go in 1 minute?
8. Three airplanes start from rest and move with the same acceleration. One accelerates for 15 seconds and and goes 120 meters. The second plane accelerates for a total of 45 seconds. How far does it go? The third accelerates for a total of 49 seconds. How far does it go?
9. A car can accelerate at 18 m/s2. If it starts from rest, how fast will it be going after 6 seconds? What is its average speed during this period?
10. A rocket starts from rest and moves with constant acceleration. In the first 10 seconds it travels 80 meters. How far does it go in the first 100 seconds? How far does it go in the first 125 seconds?
11. Find the acceleration of a tortoise that goes from rest to a speed of 0.064 m/s in 4 seconds. Find the average speed of the tortoise. How far does it go during this period of time? (Here there are two ways to find the distance. One is to use the value you have found for the acceleration. The other is to use D = vaveraget. Do the problem both ways.)
12. A rock is thrown horizontally out of a window with a speed of 4.2 m/s. After 0.8 seconds it has moved a horizontal distance H, as shown in the diagram. Find H.
13. A ball is thrown horizontally out of a window with a speed of 5.6 m/s. After 1.3 seconds it has fallen a vertical distance V, as shown in the diagram. Find V.
