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 2 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 2 m/s²t = 6 s

s = m

2.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

3.Medium

A car driving at 60 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −5.5 m/s²v = 0

s = m

4.Medium

A car speeding at a constant 34 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 34 m/sa_police = 3 m/s²v_0,police = 0

d = m

5.Hard

A ball is thrown straight up at 16 m/s from the edge of a roof 30 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 = 16 m/sh₀ = 30 mg = 9.81 m/s²

t = s

6.Hard

Ball A is dropped from rest from a height of 25 m. At the same instant ball B is thrown straight up from the ground directly below at 17 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 25 mv_0B = 17 m/sg = 9.81 m/s²

t = s

Answer key

1. s = 108 m
2. v = 29.71 m/s
3. s = 25.25 m
4. d = 770.7 m
5. t = 4.593 s
6. t = 1.471 s

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