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)10 s21

A car moving at 6 m/s speeds up with a constant acceleration of 1.5 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 6 m/sa = 1.5 m/s²t = 10 s
s = m
2.Easy
t (s)v (m/s)8 s36

A car moving at 4 m/s speeds up with a constant acceleration of 4 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 4 m/s²t = 8 s
s = m
3.Medium
policea = 3 m/s²car25 m/s

A car speeding at a constant 25 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How long does it take the police car to catch up? Find t.

vcar = 25 m/sapolice = 3 m/s²v0,police = 0
t = s
4.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −6 m/s²v = 0
t = s
5.Hard
v₀ = 13 m/s30 m

A ball is thrown straight up at 13 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 = 13 m/sh₀ = 30 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.3 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 4.3 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 135 m
  2. 2. s = 160 m
  3. 3. t = 16.67 s
  4. 4. t = 2.315 s
  5. 5. t = 4.131 s
  6. 6. d = 81 m

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