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)12 s42

A car moving at 0 m/s speeds up with a constant acceleration of 3.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3.5 m/s²t = 12 s
s = m
2.Easy
t (s)v (m/s)10 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3 m/s² for 10 s. Find its final speed v.

v₀ = 10 m/sa = 3 m/s²t = 10 s
v = m/s
3.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 7 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −7 m/s²v = 0
t = s
4.Medium
a = 4 m/s²s = 1600 m

A plane starts from rest and accelerates uniformly at 4 m/s² along a runway. Find its speed v after 1600 m.

v₀ = 0a = 4 m/s²s = 1600 m
v = m/s
5.Hard
a = 34 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 m/s² for 2 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 = 34 m/s²t1 = 2 sg = 9.81 m/s²
t = s
6.Hard
v₀ = 13 m/s40 m

A ball is thrown straight up at 13 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 13 m/sh₀ = 40 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 252 m
  2. 2. v = 40 m/s
  3. 3. t = 1.429 s
  4. 4. v = 113.1 m/s
  5. 5. t = 16.8 s
  6. 6. hmax = 48.61 m

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