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 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. Find its final speed v.

v₀ = 4 m/sa = 3 m/s²t = 9 s
v = m/s
2.Easy
t (s)v (m/s)20 s3

A train slows down uniformly from 24 m/s to 3 m/s in 20 s. How far does it travel in that time? Find s.

v₀ = 24 m/sv = 3 m/st = 20 s
s = m
3.Medium
a = ?s = 1200 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1200 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1200 m
a = m/s²
4.Medium
policea = 5 m/s²car31 m/s

A car speeding at a constant 31 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How long does it take the police car to catch up? Find t.

vcar = 31 m/sapolice = 5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 19 m/s25 m

A ball is thrown straight up at 19 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 = 19 m/sh₀ = 25 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s35 m

A ball is thrown straight up at 10 m/s from the edge of a roof 35 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 = 10 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 31 m/s
  2. 2. s = 270 m
  3. 3. a = 2.009 m/s²
  4. 4. t = 12.4 s
  5. 5. t = 4.911 s
  6. 6. t = 3.879 s

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