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)10 s41

A car moving at 16 m/s speeds up with a constant acceleration of 2.5 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 2.5 m/s²t = 10 s
s = m
2.Easy
t (s)v (m/s)18 s0

A train slows down uniformly from 20 m/s to a stop in 18 s. How far does it travel in that time? Find s.

v₀ = 20 m/sv = 0 m/st = 18 s
s = m
3.Medium
t (s)v (m/s)2.727 s15

A car driving at 54 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 54 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
a = 2.5 m/s²s = 1600 m

A plane starts from rest and accelerates uniformly at 2.5 m/s² along a runway. Find its speed v after 1600 m.

v₀ = 0a = 2.5 m/s²s = 1600 m
v = m/s
5.Hard
t (s)v (m/s)8 s

A tram starts from rest and accelerates at 1 m/s² for 8 s, then runs at constant speed for 11 s, and finally brakes at 2.5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 8 st2 = 11 sa3 = −2.5 m/s²
s = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.2 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 3.2 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 285 m
  2. 2. s = 180 m
  3. 3. s = 20.45 m
  4. 4. v = 89.44 m/s
  5. 5. s = 132.8 m
  6. 6. d = 46.1 m

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