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 s2

A train slows down uniformly from 19 m/s to 2 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 19 m/sv = 2 m/st = 6 s
s = m
2.Easy
t (s)v (m/s)9 s19

A car speeds up uniformly from 10 m/s to 19 m/s in 9 s. Find the acceleration a.

v₀ = 10 m/sv = 19 m/st = 9 s
a = m/s²
3.Medium
a = 2.75 m/s²s = 1400 m

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 1400 m.

v₀ = 0a = 2.75 m/s²s = 1400 m
v = m/s
4.Medium
t (s)v (m/s)7.5 s30

A car driving at 108 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 9 m/s20 m

A ball is thrown straight up at 9 m/s from the edge of a roof 20 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 = 9 m/sh₀ = 20 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 9 m/s10 m

A ball is thrown straight up at 9 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 = 9 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 63 m
  2. 2. a = 1 m/s²
  3. 3. v = 87.75 m/s
  4. 4. s = 112.5 m
  5. 5. t = 3.135 s
  6. 6. t = 2.615 s

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