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)6 s33

A car moving at 12 m/s speeds up with a constant acceleration of 3.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 3.5 m/s²t = 6 s
s = m
2.Easy
t (s)v (m/s)9 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 1 m/s² for 9 s. Find its final speed v.

v₀ = 6 m/sa = 1 m/s²t = 9 s
v = m/s
3.Medium
a = 2.25 m/s²s = 600 m

A plane starts from rest and accelerates uniformly at 2.25 m/s² along a runway. Find its speed v after 600 m.

v₀ = 0a = 2.25 m/s²s = 600 m
v = m/s
4.Medium
t (s)v (m/s)4.286 s15

A car driving at 54 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 54 km/ha = −3.5 m/s²v = 0
s = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.3 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 = 2.3 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 5 m/s25 m

A ball is thrown straight up at 5 m/s from the edge of a roof 25 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 = 5 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 135 m
  2. 2. v = 15 m/s
  3. 3. v = 51.96 m/s
  4. 4. s = 32.14 m
  5. 5. d = 24.37 m
  6. 6. t = 2.824 s

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