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)11 s17.5

A car moving at 12 m/s speeds up with a constant acceleration of 0.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 0.5 m/s²t = 11 s
s = m
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 0 m/sa = 2.5 m/s²t = 3 s
v = m/s
3.Medium
policea = 6 m/s²car31 m/s

A car speeding at a constant 31 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 6 m/s². How long does it take the police car to catch up? Find t.

vcar = 31 m/sapolice = 6 m/s²v0,police = 0
t = s
4.Medium
t (s)v (m/s)6 s30

A car driving at 108 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −5 m/s²v = 0
s = m
5.Hard
v₀ = 10 m/s10 m

A ball is thrown straight up at 10 m/s from the edge of a roof 10 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 = 10 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.6 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 = 2.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 162.3 m
  2. 2. v = 7.5 m/s
  3. 3. t = 10.33 s
  4. 4. s = 90 m
  5. 5. t = 2.774 s
  6. 6. d = 30.9 m

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