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)8 s18

A car speeds up uniformly from 2 m/s to 18 m/s in 8 s. Find the acceleration a.

v₀ = 2 m/sv = 18 m/st = 8 s
a = m/s²
2.Easy
t (s)v (m/s)10 s34

A car moving at 14 m/s speeds up with a constant acceleration of 2 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 2 m/s²t = 10 s
s = m
3.Medium
a = 2.5 m/s²s = 1500 m

A plane starts from rest and accelerates uniformly at 2.5 m/s² along a runway. Find its speed v after 1500 m.

v₀ = 0a = 2.5 m/s²s = 1500 m
v = m/s
4.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −3 m/s²v = 0
t = s
5.Hard
v₀ = 16 m/s20 m

A ball is thrown straight up at 16 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 16 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 10 m/s15 m

A ball is thrown straight up at 10 m/s from the edge of a roof 15 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 = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2 m/s²
  2. 2. s = 240 m
  3. 3. v = 86.6 m/s
  4. 4. t = 10 s
  5. 5. hmax = 33.05 m
  6. 6. t = 3.044 s

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