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 4 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 4 m/s²t = 11 s

s = m

2.Easy

A car moving at 16 m/s speeds up with a constant acceleration of 1 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 1 m/s²t = 8 s

s = m

3.Medium

A car driving at 108 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −5.5 m/s²v = 0

s = m

4.Medium

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 800 m.

v₀ = 0a = 2.75 m/s²s = 800 m

v = m/s

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 32 m/s² for 3 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 32 m/s²t₁ = 3 sg = 9.81 m/s²

h_max = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 26 m/s² for 1.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 26 m/s²t₁ = 1.5 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 352 m
2. s = 160 m
3. s = 81.82 m
4. v = 66.33 m/s
5. h_max = 613.7 m
6. h_max = 106.8 m

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