Equations of Motion
1. A car accelerates steadily from rest at 4m/s2 for 3 seconds. Find:
a. The car’s final velocity
b. The distance that the car travels
2. A runner starts a race from rest and accelerates at 1m/s2 for 10 seconds. Find:
a. The runner’s final velocity
b. The distance that the runner travels
3. A train accelerates from 20m/s at 4m/s2 over a distance of 25.5m. What is the final
velocity of the train?
4. A car accelerates along a road at 3m/s2 from a speed of 20m/s, for 5 seconds. How
far does it travel in this time?
5. Cyclists are travelling around a track at 14m/s. When they leave it they accelerate
from 14m/s to 18m/s at a steady rate, which takes them 3 seconds. What distance did
they travel in this time?
6. A car moves at a speed of 5m/s. It accelerates uniformly to a new speed of 15m/s. If
this takes 30 seconds, calculate the distance that the car travels.
7. A go-kart accelerates at 2m/s2 from a speed of 10m/s, for 5 seconds. What is its final
speed?
8. A skydiver falls with an acceleration of 9.8m/s2, and reaches terminal velocity after
1.5 minutes. If their initial velocity was 0m/s, calculate their terminal velocity.
9. A robot moves 60m across the Martian surface. If it accelerates from a speed of
0.5m/s at a rate of 0.25m/s2, calculate the final velocity.
10. An aircraft is travelling at 150m/s for 1 minute. If it accelerates at a rate of 10m/s2,
calculate the distance it travels.