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 s50

A car moving at 10 m/s speeds up with a constant acceleration of 4 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 4 m/s²t = 10 s
s = m
2.Easy
t (s)v (m/s)4 s14

A car moving at 12 m/s speeds up with a constant acceleration of 0.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 0.5 m/s²t = 4 s
s = m
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 8 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −8 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)0.9 s12.5

A driver moving at 45 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 45 km/htr = 0.9 sa = −5.5 m/s²
d = m
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 28 s, and finally brakes at 4.5 m/s² until it stops. Find the total travel time t.

a1 = 3 m/s²t1 = 9 st2 = 28 sa3 = −4.5 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.7 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 = 4.7 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 300 m
  2. 2. s = 52 m
  3. 3. t = 3.75 s
  4. 4. d = 25.45 m
  5. 5. t = 43 s
  6. 6. d = 95.85 m

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