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 8 m/s speeds up with a constant acceleration of 3 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 3 m/s²t = 7 s

s = m

2.Easy

A car moving at 2 m/s speeds up with a constant acceleration of 1.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 1.5 m/s²t = 12 s

s = m

3.Medium

A car speeding at a constant 23 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 23 m/sa_police = 3.5 m/s²v_0,police = 0

d = m

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

v_car = 18 m/sa_police = 5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 17 m/s from the edge of a roof 10 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 = 17 m/sh₀ = 10 mg = 9.81 m/s²

t = s

6.Hard

A ball is thrown straight up at 17 m/s from the edge of a roof 35 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 = 17 m/sh₀ = 35 mg = 9.81 m/s²

t = s

Answer key

1. s = 129.5 m
2. s = 132 m
3. d = 302.3 m
4. t = 7.2 s
5. t = 3.978 s
6. t = 4.917 s

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