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)9 s13.5

A car moving at 0 m/s speeds up with a constant acceleration of 1.5 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 1.5 m/s²t = 9 s
s = m
2.Easy
t (s)v (m/s)4 s26

A car moving at 12 m/s speeds up with a constant acceleration of 3.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 3.5 m/s²t = 4 s
s = m
3.Medium
t (s)v (m/s)4.63 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 3 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −3 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)0.5 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 0.5 sa = −8 m/s²
d = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.8 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 = 4.8 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
t (s)v (m/s)5 s

A tram starts from rest and accelerates at 1 m/s² for 5 s, then runs at constant speed for 12 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 = 5 st2 = 12 sa3 = −2.5 m/s²
s = m

Answer key

  1. 1. s = 60.75 m
  2. 2. s = 76 m
  3. 3. s = 32.15 m
  4. 4. d = 21.56 m
  5. 5. d = 99.73 m
  6. 6. s = 77.5 m

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