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 10 m/s speeds up with a constant acceleration of 1.5 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 1.5 m/s²t = 7 s

s = m

2.Easy

A stone is dropped from rest from a bridge 75 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 = 75 mg = 9.81 m/s²

t = s

3.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 6 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/ht_r = 0.5 sa = −6 m/s²

d = m

4.Medium

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 1700 m.

v₀ = 0a = 2.75 m/s²s = 1700 m

v = m/s

5.Hard

A ball is thrown straight up at 14 m/s from the edge of a roof 40 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 = 14 m/sh₀ = 40 mg = 9.81 m/s²

t = s

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 m/s² for 2 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 28 m/s²t₁ = 2 sg = 9.81 m/s²

t = s

Answer key

1. s = 106.8 m
2. t = 3.91 s
3. d = 78.19 m
4. v = 96.7 m/s
5. t = 4.62 s
6. t = 14.34 s

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