Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A stone is dropped from rest from a bridge 70 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 70 mg = 9.81 m/s²

t = s

2.Easy

A car moving at 10 m/s speeds up with a constant acceleration of 2 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 2 m/s²t = 9 s

s = m

3.Medium

A car speeding at a constant 22 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 22 m/sa_police = 4.5 m/s²v_0,police = 0

t = s

4.Medium

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/ht_r = 1 sa = −5.5 m/s²

d = m

5.Hard

A ball is thrown straight up at 9 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 9 m/sh₀ = 20 mg = 9.81 m/s²

t = s

6.Hard

A ball is thrown straight up at 10 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 10 m/sh₀ = 15 mg = 9.81 m/s²

t = s

Answer key

1. t = 3.778 s
2. s = 171 m
3. t = 9.778 s
4. d = 81.82 m
5. t = 3.135 s
6. t = 3.044 s

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