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 50 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 = 50 mg = 9.81 m/s²

t = s

2.Easy

A car moving at 2 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 3 m/s²t = 9 s

s = m

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 2.5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 17 m/sa_police = 2.5 m/s²v_0,police = 0

d = m

4.Medium

A plane needs a speed of 180 km/h to take off and the usable runway is 2200 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 180 km/hs = 2200 m

a = m/s²

5.Hard

A stone is dropped from rest into a well. The splash is heard 3.8 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 = 3.8 sv_sound = 343 m/sg = 9.81 m/s²

d = m

6.Hard

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 35 mg = 9.81 m/s²

t = s

Answer key

1. t = 3.193 s
2. s = 139.5 m
3. d = 231.2 m
4. a = 0.5682 m/s²
5. d = 64.04 m
6. t = 3.229 s

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