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 s13

A car speeds up uniformly from 10 m/s to 13 m/s in 6 s. Find the acceleration a.

v₀ = 10 m/sv = 13 m/st = 6 s
a = m/s²
2.Easy
t (s)v (m/s)4 s9

A car speeds up uniformly from 5 m/s to 9 m/s in 4 s. Find the acceleration a.

v₀ = 5 m/sv = 9 m/st = 4 s
a = m/s²
3.Medium
policea = 2.5 m/s²car29 m/s

A car speeding at a constant 29 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 29 m/sapolice = 2.5 m/s²v0,police = 0
t = s
4.Medium
a = ?s = 1100 m

A plane needs a speed of 300 km/h to take off and the usable runway is 1100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 1100 m
a = m/s²
5.Hard
v₀ = 18 m/s25 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 25 mg = 9.81 m/s²
t = s
6.Hard
a = 24 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 24 m/s² for 2.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax the rocket reaches.

a = 24 m/s²t1 = 2.5 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. a = 1 m/s²
  3. 3. t = 23.2 s
  4. 4. a = 3.157 m/s²
  5. 5. t = 4.744 s
  6. 6. hmax = 258.5 m

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