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)11 s29.5

A car moving at 2 m/s speeds up with a constant acceleration of 2.5 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 2.5 m/s²t = 11 s
s = m
2.Easy
t (s)v (m/s)9 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 1 m/s² for 9 s. Find its final speed v.

v₀ = 0 m/sa = 1 m/s²t = 9 s
v = m/s
3.Medium
a = 3.75 m/s²s = 1500 m

A plane starts from rest and accelerates uniformly at 3.75 m/s² along a runway. Find its speed v after 1500 m.

v₀ = 0a = 3.75 m/s²s = 1500 m
v = m/s
4.Medium
t (s)v (m/s)3.571 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −3.5 m/s²v = 0
s = 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
d = ?

A stone is dropped from rest into a well. The splash is heard 1.7 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 = 1.7 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 173.3 m
  2. 2. v = 9 m/s
  3. 3. v = 106.1 m/s
  4. 4. s = 22.32 m
  5. 5. d = 99.73 m
  6. 6. d = 13.53 m

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