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)4 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 1.5 m/s² for 4 s. Find its final speed v.

v₀ = 16 m/sa = 1.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)8 s26

A car moving at 10 m/s speeds up with a constant acceleration of 2 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 2 m/s²t = 8 s
s = m
3.Medium
t (s)v (m/s)2.137 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −6.5 m/s²v = 0
s = m
4.Medium
a = 3 m/s²s = 800 m

A plane starts from rest and accelerates uniformly at 3 m/s² along a runway. Find its speed v after 800 m.

v₀ = 0a = 3 m/s²s = 800 m
v = m/s
5.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 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. How long after launch does it hit the ground? Find t.

a = 24 m/s²t1 = 1 sg = 9.81 m/s²
t = s
6.Hard
v₀ = 16 m/s25 m

A ball is thrown straight up at 16 m/s from the edge of a roof 25 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 = 25 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 22 m/s
  2. 2. s = 144 m
  3. 3. s = 14.84 m
  4. 4. v = 69.28 m/s
  5. 5. t = 6.35 s
  6. 6. hmax = 38.05 m

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