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)16 s2

A train slows down uniformly from 10 m/s to 2 m/s in 16 s. How far does it travel in that time? Find s.

v₀ = 10 m/sv = 2 m/st = 16 s
s = m
2.Easy
t (s)v (m/s)5 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 2.5 m/s² for 5 s. Find its final speed v.

v₀ = 12 m/sa = 2.5 m/s²t = 5 s
v = m/s
3.Medium
policea = 2.5 m/s²car25 m/s

A car speeding at a constant 25 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 25 m/sapolice = 2.5 m/s²v0,police = 0
t = s
4.Medium
t (s)v (m/s)t = ?25

A car driving at 90 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 90 km/ha = −6 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 3 m/s² for 9 s, then runs at constant speed for 11 s, and finally brakes at 3.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 3 m/s²t1 = 9 st2 = 11 sa3 = −3.5 m/s²
s = m
6.Hard
v₀ = 19 m/s5 m

A ball is thrown straight up at 19 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 = 19 m/sh₀ = 5 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 96 m
  2. 2. v = 24.5 m/s
  3. 3. t = 20 s
  4. 4. t = 4.167 s
  5. 5. s = 522.6 m
  6. 6. t = 4.121 s

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