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)10 s33.5

A car speeds up uniformly from 6 m/s to 33.5 m/s in 10 s. Find the acceleration a.

v₀ = 6 m/sv = 33.5 m/st = 10 s
a = m/s²
2.Easy
t (s)v (m/s)5 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2.5 m/s² for 5 s. Find its final speed v.

v₀ = 8 m/sa = 2.5 m/s²t = 5 s
v = m/s
3.Medium
policea = 4 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 4 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 19 m/sapolice = 4 m/s²v0,police = 0
d = m
4.Medium
policea = 2 m/s²car34 m/s

A car speeding at a constant 34 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How long does it take the police car to catch up? Find t.

vcar = 34 m/sapolice = 2 m/s²v0,police = 0
t = s
5.Hard
AB: 16 m/s35 m

Ball A is dropped from rest from a height of 35 m. At the same instant ball B is thrown straight up from the ground directly below at 16 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 35 mv0B = 16 m/sg = 9.81 m/s²
y = m
6.Hard
v₀ = 6 m/s40 m

A ball is thrown straight up at 6 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 = 6 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.75 m/s²
  2. 2. v = 20.5 m/s
  3. 3. d = 180.5 m
  4. 4. t = 34 s
  5. 5. y = 11.53 m
  6. 6. t = 3.532 s

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