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)6 s16

A train slows down uniformly from 28 m/s to 16 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 28 m/sv = 16 m/st = 6 s
s = m
2.Easy
t (s)v (m/s)19 s16

A train slows down uniformly from 25 m/s to 16 m/s in 19 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 16 m/st = 19 s
s = m
3.Medium
t (s)v (m/s)t = ?22.22

A car driving at 80 km/h brakes with a constant deceleration of 3 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −3 m/s²v = 0
t = s
4.Medium
policea = 4.5 m/s²car25 m/s

A car speeding at a constant 25 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 25 m/sapolice = 4.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 9 m/s30 m

A ball is thrown straight up at 9 m/s from the edge of a roof 30 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 = 30 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 19 m/s5 m

A ball is thrown straight up at 19 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 19 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 132 m
  2. 2. s = 389.5 m
  3. 3. t = 7.407 s
  4. 4. t = 11.11 s
  5. 5. t = 3.555 s
  6. 6. hmax = 23.4 m

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