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 s8

A train slows down uniformly from 18 m/s to 8 m/s in 10 s. How far does it travel in that time? Find s.

v₀ = 18 m/sv = 8 m/st = 10 s
s = m
2.Easy
t (s)v (m/s)10 s30

A car moving at 0 m/s speeds up with a constant acceleration of 3 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 3 m/s²t = 10 s
s = m
3.Medium
t (s)v (m/s)3.636 s20

A car driving at 72 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −3 m/s²v = 0
t = s
5.Hard
t (s)v (m/s)10 s

A tram starts from rest and accelerates at 2 m/s² for 10 s, then runs at constant speed for 15 s, and finally brakes at 3 m/s² until it stops. Find the total distance s between the two stops.

a1 = 2 m/s²t1 = 10 st2 = 15 sa3 = −3 m/s²
s = m
6.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 1.5 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 = 1.5 sg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 130 m
  2. 2. s = 150 m
  3. 3. s = 36.36 m
  4. 4. t = 4.167 s
  5. 5. s = 466.7 m
  6. 6. t = 11.99 s

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