Grade 10 Motion & graphs worksheet

What is on the worksheet

1. A model cart starts at 40 m/s and slows uniformly at 5 m/s² until rest. Ignore reaction time. Find the stopping time. Round to 3 decimal places if needed. Answer in s.

2. A cart moves at 20 m/s, then slows at a constant 8 m/s² to rest. Find its braking distance, excluding any reaction distance. Round to 3 decimal places if needed. Answer in m.

3. In a model without air resistance, an object is launched vertically upward at 26 m/s where g = 10 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

4. On an east-positive axis, position changes from 17 m to 67 m in 22 s. Find the signed average velocity. Round to 3 decimal places if needed. Answer in m/s.

5. Two carts approach each other on a straight track at 9 m/s and 17 m/s. How fast is their separation decreasing? Round to 3 decimal places if needed. Answer in m/s.

6. Two carts approach each other on a straight track at 28 m/s and 22 m/s. How fast is their separation decreasing? Round to 3 decimal places if needed. Answer in m/s.

7. A cart moves at 24 m/s, then slows at a constant 3 m/s² to rest. Find its braking distance, excluding any reaction distance. Round to 3 decimal places if needed. Answer in m.

8. In a model without air resistance, an object is launched vertically upward at 42 m/s where g = 8 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

9. Signed velocity changes from 20 m/s to 25 m/s in 11 s. Find the average acceleration. Round to 3 decimal places if needed. Answer in m/s².

10. On an east-positive axis, position changes from -19 m to 55 m in 7 s. Find the signed average velocity. Round to 3 decimal places if needed. Answer in m/s.

11. A cart moves at 12 m/s, then slows at a constant 7 m/s² to rest. Find its braking distance, excluding any reaction distance. Round to 3 decimal places if needed. Answer in m.

12. In one dimension, u = 14 m/s and constant a = 0 m/s². Find the signed velocity after 14 s. Round to 3 decimal places if needed. Answer in m/s.

13. Use one signed axis. Initial velocity is 15 m/s and constant acceleration is 1 m/s² for 2 s. Find the displacement. Round to 3 decimal places if needed. Answer in m.

14. In one dimension, u = -2 m/s and constant a = 0 m/s². Find the signed velocity after 9 s. Round to 3 decimal places if needed. Answer in m/s.

15. On an east-positive axis, position changes from 42 m to -8 m in 17 s. Find the signed average velocity. Round to 3 decimal places if needed. Answer in m/s.

16. A model object leaves a ledge horizontally at 30 m/s from height 125 m. Use g = 10 m/s² and no air resistance. Find its horizontal range to the ground. Round to 3 decimal places if needed. Answer in m.

17. On an east-positive axis, position changes from 58 m to -25 m in 26 s. Find the signed average velocity. Round to 3 decimal places if needed. Answer in m/s.

18. Use one signed axis. Initial velocity is 11 m/s and constant acceleration is 1 m/s² for 4 s. Find the displacement. Round to 3 decimal places if needed. Answer in m.

19. A model object leaves a ledge horizontally at 11 m/s from height 125 m. Use g = 10 m/s² and no air resistance. Find its horizontal range to the ground. Round to 3 decimal places if needed. Answer in m.

20. A model object leaves a ledge horizontally at 11 m/s from height 180 m. Use g = 10 m/s² and no air resistance. Find its horizontal range to the ground. Round to 3 decimal places if needed. Answer in m.