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 45 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 45 mg = 9.81 m/s²

v = m/s

2.Easy

A stone is dropped from rest from a bridge 25 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 25 mg = 9.81 m/s²

v = m/s

3.Medium

A car driving at 60 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −5.5 m/s²v = 0

t = s

4.Medium

A car speeding at a constant 18 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 18 m/sa_police = 2 m/s²v_0,police = 0

d = m

5.Hard

A ball is thrown straight up at 11 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 11 m/sh₀ = 20 mg = 9.81 m/s²

h_max = m

6.Hard

A stone is dropped from rest into a well. The splash is heard 2.1 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 2.1 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. v = 29.71 m/s
2. v = 22.15 m/s
3. t = 3.03 s
4. d = 324 m
5. h_max = 26.17 m
6. d = 20.42 m

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