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 s32.5

A car speeds up uniformly from 10 m/s to 32.5 m/s in 9 s. Find the acceleration a.

v₀ = 10 m/sv = 32.5 m/st = 9 s
a = m/s²
2.Easy
t (s)v (m/s)10 s1

A train slows down uniformly from 18 m/s to 1 m/s in 10 s. How far does it travel in that time? Find s.

v₀ = 18 m/sv = 1 m/st = 10 s
s = m
3.Medium
policea = 3.5 m/s²car19 m/s

A car speeding at a constant 19 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 19 m/sapolice = 3.5 m/s²v0,police = 0
d = m
4.Medium
a = 1.75 m/s²s = 1200 m

A plane starts from rest and accelerates uniformly at 1.75 m/s² along a runway. Find its speed v after 1200 m.

v₀ = 0a = 1.75 m/s²s = 1200 m
v = m/s
5.Hard
v₀ = 15 m/s20 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 12 m/s40 m

A ball is thrown straight up at 12 m/s from the edge of a roof 40 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 = 12 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.5 m/s²
  2. 2. s = 95 m
  3. 3. d = 206.3 m
  4. 4. v = 64.81 m/s
  5. 5. hmax = 31.47 m
  6. 6. t = 4.33 s

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