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 s7

A train slows down uniformly from 29 m/s to 7 m/s in 9 s. How far does it travel in that time? Find s.

v₀ = 29 m/sv = 7 m/st = 9 s
s = m
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 12 m/sa = 2.5 m/s²t = 3 s
v = m/s
3.Medium
a = 1.5 m/s²s = 1500 m

A plane starts from rest and accelerates uniformly at 1.5 m/s² along a runway. Find its speed v after 1500 m.

v₀ = 0a = 1.5 m/s²s = 1500 m
v = m/s
4.Medium
t (s)v (m/s)0.8 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.8 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/htr = 0.8 sa = −7.5 m/s²
d = m
5.Hard
v₀ = 14 m/s20 m

A ball is thrown straight up at 14 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 14 m/sh₀ = 20 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.6 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 = 1.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 162 m
  2. 2. v = 19.5 m/s
  3. 3. v = 67.08 m/s
  4. 4. d = 50.7 m
  5. 5. t = 3.9 s
  6. 6. d = 12.01 m

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