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 3.5 m/s² for 4 s. Find its final speed v.

v₀ = 16 m/sa = 3.5 m/s²t = 4 s
v = m/s
2.Easy
t (s)v (m/s)14 s12

A train slows down uniformly from 16 m/s to 12 m/s in 14 s. How far does it travel in that time? Find s.

v₀ = 16 m/sv = 12 m/st = 14 s
s = m
3.Medium
t (s)v (m/s)t = ?10

A car driving at 36 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 36 km/ha = −4.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −7.5 m/s²v = 0
t = s
5.Hard
a = 32 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 32 m/s² for 2.5 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 = 32 m/s²t1 = 2.5 sg = 9.81 m/s²
t = s
6.Hard
v₀ = 11 m/s15 m

A ball is thrown straight up at 11 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 11 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 30 m/s
  2. 2. s = 196 m
  3. 3. t = 2.222 s
  4. 4. t = 4.444 s
  5. 5. t = 19.98 s
  6. 6. hmax = 21.17 m

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