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
v = ?h = 5 m

A stone is dropped from rest from a bridge 5 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 5 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)12 s20

A car moving at 2 m/s speeds up with a constant acceleration of 1.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 1.5 m/s²t = 12 s
s = m
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −3 m/s²v = 0
t = s
4.Medium
policea = 4 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 4 m/s². How long does it take the police car to catch up? Find t.

vcar = 25 m/sapolice = 4 m/s²v0,police = 0
t = s
5.Hard
AB: 22 m/s35 m

Ball A is dropped from rest from a height of 35 m. At the same instant ball B is thrown straight up from the ground directly below at 22 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 35 mv0B = 22 m/sg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s30 m

A ball is thrown straight up at 10 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 = 10 m/sh₀ = 30 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 9.905 m/s
  2. 2. s = 132 m
  3. 3. t = 4.167 s
  4. 4. t = 12.5 s
  5. 5. t = 1.591 s
  6. 6. t = 3.694 s

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