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
h = 75 m

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
2.Easy
t (s)v (m/s)10 s0

A train slows down uniformly from 11 m/s to a stop in 10 s. How far does it travel in that time? Find s.

v₀ = 11 m/sv = 0 m/st = 10 s
s = m
3.Medium
t (s)v (m/s)2.5 s20

A car driving at 72 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −8 m/s²v = 0
s = m
4.Medium
policea = 5.5 m/s²car22 m/s

A car speeding at a constant 22 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 22 m/sapolice = 5.5 m/s²v0,police = 0
d = m
5.Hard
v₀ = 11 m/s30 m

A ball is thrown straight up at 11 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 = 11 m/sh₀ = 30 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 12 m/s35 m

A ball is thrown straight up at 12 m/s from the edge of a roof 35 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 = 12 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.91 s
  2. 2. s = 55 m
  3. 3. s = 25 m
  4. 4. d = 176 m
  5. 5. t = 3.837 s
  6. 6. t = 4.161 s

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