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)14 s8

A train slows down uniformly from 28 m/s to 8 m/s in 14 s. How far does it travel in that time? Find s.

v₀ = 28 m/sv = 8 m/st = 14 s
s = m
2.Easy
t (s)v (m/s)6 s3

A train slows down uniformly from 15 m/s to 3 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 15 m/sv = 3 m/st = 6 s
s = m
3.Medium
t (s)v (m/s)0.9 s27.78

A driver moving at 100 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/htr = 0.9 sa = −5 m/s²
d = m
4.Medium
t (s)v (m/s)4.167 s25

A car driving at 90 km/h brakes with a constant deceleration of 6 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −6 m/s²v = 0
s = m
5.Hard
v₀ = 9 m/s25 m

A ball is thrown straight up at 9 m/s from the edge of a roof 25 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 = 9 m/sh₀ = 25 mg = 9.81 m/s²
t = s
6.Hard
a = 36 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 36 m/s² for 1 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 36 m/s²t1 = 1 sg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 252 m
  2. 2. s = 54 m
  3. 3. d = 102.2 m
  4. 4. s = 52.08 m
  5. 5. t = 3.354 s
  6. 6. t = 8.809 s

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