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)4 s22

A train slows down uniformly from 26 m/s to 22 m/s in 4 s. How far does it travel in that time? Find s.

v₀ = 26 m/sv = 22 m/st = 4 s
s = m
2.Easy
t (s)v (m/s)12 s10

A car moving at 4 m/s speeds up with a constant acceleration of 0.5 m/s² for 12 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 0.5 m/s²t = 12 s
s = m
3.Medium
a = 2.75 m/s²s = 1800 m

A plane starts from rest and accelerates uniformly at 2.75 m/s² along a runway. Find its speed v after 1800 m.

v₀ = 0a = 2.75 m/s²s = 1800 m
v = m/s
4.Medium
t (s)v (m/s)6.944 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 11 m/s20 m

A ball is thrown straight up at 11 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 11 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 6 m/s25 m

A ball is thrown straight up at 6 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 = 6 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 96 m
  2. 2. s = 84 m
  3. 3. v = 99.5 m/s
  4. 4. s = 96.45 m
  5. 5. hmax = 26.17 m
  6. 6. t = 2.951 s

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