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 6 m/s speeds up with a constant acceleration of 1.5 m/s² for 9 s. Find its final speed v.

v₀ = 6 m/sa = 1.5 m/s²t = 9 s
v = m/s
2.Easy
t (s)v (m/s)11 s32

A car moving at 10 m/s speeds up with a constant acceleration of 2 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 2 m/s²t = 11 s
s = m
3.Medium
a = ?s = 1100 m

A plane needs a speed of 280 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 = 280 km/hs = 1100 m
a = m/s²
4.Medium
policea = 2.5 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 2.5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 25 m/sapolice = 2.5 m/s²v0,police = 0
d = m
5.Hard
v₀ = 6 m/s30 m

A ball is thrown straight up at 6 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 6 m/sh₀ = 30 mg = 9.81 m/s²
hmax = m
6.Hard
AB: 28 m/s50 m

Ball A is dropped from rest from a height of 50 m. At the same instant ball B is thrown straight up from the ground directly below at 28 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 50 mv0B = 28 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 19.5 m/s
  2. 2. s = 231 m
  3. 3. a = 2.75 m/s²
  4. 4. d = 500 m
  5. 5. hmax = 31.83 m
  6. 6. t = 1.786 s

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