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 sv = ?

A car moving at 6 m/s speeds up with a constant acceleration of 1.5 m/s² for 12 s. Find its final speed v.

v₀ = 6 m/sa = 1.5 m/s²t = 12 s
v = m/s
2.Easy
t (s)v (m/s)5 s19.5

A car moving at 2 m/s speeds up with a constant acceleration of 3.5 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 3.5 m/s²t = 5 s
s = m
3.Medium
policea = 4 m/s²car23 m/s

A car speeding at a constant 23 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 23 m/sapolice = 4 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)4.615 s30

A car driving at 108 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −6.5 m/s²v = 0
s = m
5.Hard
v₀ = 6 m/s25 m

A ball is thrown straight up at 6 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 = 6 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 10 m/s30 m

A ball is thrown straight up at 10 m/s from the edge of a roof 30 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 = 30 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 24 m/s
  2. 2. s = 53.75 m
  3. 3. d = 264.5 m
  4. 4. s = 69.23 m
  5. 5. hmax = 26.83 m
  6. 6. t = 3.694 s

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