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 40 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 = 40 mg = 9.81 m/s²

t = s

2.Easy

A car speeds up uniformly from 4 m/s to 19.75 m/s in 7 s. Find the acceleration a.

v₀ = 4 m/sv = 19.75 m/st = 7 s

a = m/s²

3.Medium

A driver moving at 108 km/h sees an obstacle. Her reaction time is 1 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 108 km/ht_r = 1 sa = −4.5 m/s²

d = m

4.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 m/s². How long does it take the police car to catch up? Find t.

v_car = 22 m/sa_police = 4 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 14 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 = 14 m/sh₀ = 15 mg = 9.81 m/s²

t = s

6.Hard

A ball is thrown straight up at 12 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 = 12 m/sh₀ = 15 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.856 s
2. a = 2.25 m/s²
3. d = 130 m
4. t = 11 s
5. t = 3.684 s
6. t = 3.357 s

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