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
v = ?h = 15 m

A stone is dropped from rest from a bridge 15 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 15 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)5 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 3.5 m/s² for 5 s. Find its final speed v.

v₀ = 12 m/sa = 3.5 m/s²t = 5 s
v = m/s
3.Medium
t (s)v (m/s)t = ?30

A car driving at 108 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 108 km/ha = −3 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)t = ?15

A car driving at 54 km/h brakes with a constant deceleration of 8 m/s² until it stops. How long does braking take? Find t.

v₀ = 54 km/ha = −8 m/s²v = 0
t = s
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.3 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 = 2.3 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
t (s)v (m/s)9 s

A tram starts from rest and accelerates at 1 m/s² for 9 s, then runs at constant speed for 10 s, and finally brakes at 5 m/s² until it stops. Find the total distance s between the two stops.

a1 = 1 m/s²t1 = 9 st2 = 10 sa3 = −5 m/s²
s = m

Answer key

  1. 1. v = 17.16 m/s
  2. 2. v = 29.5 m/s
  3. 3. t = 10 s
  4. 4. t = 1.875 s
  5. 5. d = 24.37 m
  6. 6. s = 138.6 m

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