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 1.5 m/s² for 5 s. Find its final speed v.

v₀ = 12 m/sa = 1.5 m/s²t = 5 s

v = m/s

2.Easy

A car moving at 0 m/s speeds up with a constant acceleration of 0.5 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 0.5 m/s²t = 8 s

s = m

3.Medium

A car speeding at a constant 26 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 26 m/sa_police = 4.5 m/s²v_0,police = 0

d = m

4.Medium

A car speeding at a constant 27 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 = 27 m/sa_police = 2 m/s²v_0,police = 0

d = m

5.Hard

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

t = s

6.Hard

A stone is dropped from rest into a well. The splash is heard 4.2 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 = 4.2 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. v = 19.5 m/s
2. s = 16 m
3. d = 300.4 m
4. d = 729 m
5. t = 3.852 s
6. d = 77.47 m

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