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 car moving at 12 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. Find its final speed v.

v₀ = 12 m/sa = 3 m/s²t = 5 s

v = m/s

2.Easy

A stone is dropped from rest from a bridge 75 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 = 75 mg = 9.81 m/s²

t = s

3.Medium

A car speeding at a constant 17 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 6 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 17 m/sa_police = 6 m/s²v_0,police = 0

d = m

4.Medium

A car speeding at a constant 17 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 17 m/sa_police = 2.5 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 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 14 m/sh₀ = 10 mg = 9.81 m/s²

h_max = m

6.Hard

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 15 mg = 9.81 m/s²

t = s

Answer key

1. v = 27 m/s
2. t = 3.91 s
3. d = 96.33 m
4. t = 13.6 s
5. h_max = 19.99 m
6. t = 2.331 s

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