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
t (s)v (m/s)8 s20

A car speeds up uniformly from 12 m/s to 20 m/s in 8 s. Find the acceleration a.

v₀ = 12 m/sv = 20 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 3 m/s² for 10 s. Find its final speed v.

v₀ = 0 m/sa = 3 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −7 m/s²v = 0
t = s
4.Medium
policea = 4 m/s²car20 m/s

A car speeding at a constant 20 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 20 m/sapolice = 4 m/s²v0,police = 0
d = m
5.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 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 = 24 m/s²t1 = 2 sg = 9.81 m/s²
t = s
6.Hard
v₀ = 18 m/s40 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1 m/s²
  2. 2. v = 30 m/s
  3. 3. t = 4.762 s
  4. 4. d = 200 m
  5. 5. t = 12.7 s
  6. 6. t = 5.229 s

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