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 2.5 m/s² for 10 s. Find its final speed v.

v₀ = 12 m/sa = 2.5 m/s²t = 10 s

v = m/s

2.Easy

A car moving at 6 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. Find its final speed v.

v₀ = 6 m/sa = 1.5 m/s²t = 10 s

v = m/s

3.Medium

A driver moving at 108 km/h sees an obstacle. Her reaction time is 1 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 108 km/ht_r = 1 sa = −5.5 m/s²

d = m

4.Medium

A car speeding at a constant 28 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 = 28 m/sa_police = 4.5 m/s²v_0,police = 0

d = m

5.Hard

A ball is thrown straight up at 12 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 = 12 m/sh₀ = 35 mg = 9.81 m/s²

t = s

6.Hard

A ball is thrown straight up at 7 m/s from the edge of a roof 20 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 = 7 m/sh₀ = 20 mg = 9.81 m/s²

t = s

Answer key

1. v = 37 m/s
2. v = 21 m/s
3. d = 111.8 m
4. d = 348.4 m
5. t = 4.161 s
6. t = 2.855 s

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