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 s3

A car moving at 0 m/s speeds up with a constant acceleration of 0.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 0.5 m/s²t = 6 s
s = m
2.Easy
t (s)v (m/s)6 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 2 m/s² for 6 s. Find its final speed v.

v₀ = 16 m/sa = 2 m/s²t = 6 s
v = m/s
3.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 4 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −4 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.778 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −8 m/s²v = 0
s = m
5.Hard
v₀ = 14 m/s5 m

A ball is thrown straight up at 14 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 = 14 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
a = 38 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 38 m/s² for 1 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 38 m/s²t1 = 1 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 9 m
  2. 2. v = 28 m/s
  3. 3. t = 6.944 s
  4. 4. s = 30.86 m
  5. 5. t = 3.175 s
  6. 6. hmax = 92.6 m

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