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)14 s3

A train slows down uniformly from 23 m/s to 3 m/s in 14 s. How far does it travel in that time? Find s.

v₀ = 23 m/sv = 3 m/st = 14 s
s = m
2.Easy
t (s)v (m/s)9 s30.5

A car speeds up uniformly from 8 m/s to 30.5 m/s in 9 s. Find the acceleration a.

v₀ = 8 m/sv = 30.5 m/st = 9 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −6 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.778 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
v₀ = 19 m/s5 m

A ball is thrown straight up at 19 m/s from the edge of a roof 5 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 = 19 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.6 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 = 3.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 182 m
  2. 2. a = 2.5 m/s²
  3. 3. t = 5.556 s
  4. 4. s = 17.36 m
  5. 5. t = 4.121 s
  6. 6. d = 57.76 m

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