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)5 s10

A train slows down uniformly from 23 m/s to 10 m/s in 5 s. How far does it travel in that time? Find s.

v₀ = 23 m/sv = 10 m/st = 5 s
s = m
2.Easy
t (s)v (m/s)12 s50

A car moving at 2 m/s speeds up with a constant acceleration of 4 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 4 m/s²t = 12 s
s = m
3.Medium
t (s)v (m/s)2.857 s10

A car driving at 36 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −3.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 1 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 = 54 km/htr = 1 sa = −5.5 m/s²
d = m
5.Hard
v₀ = 8 m/s25 m

A ball is thrown straight up at 8 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 8 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.5 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 = 2.5 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 82.5 m
  2. 2. s = 312 m
  3. 3. s = 14.29 m
  4. 4. d = 35.45 m
  5. 5. hmax = 28.26 m
  6. 6. d = 28.64 m

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