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)8 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 2 m/s² for 8 s. Find its final speed v.

v₀ = 10 m/sa = 2 m/s²t = 8 s
v = m/s
2.Easy
t (s)v (m/s)14 s0

A train slows down uniformly from 10 m/s to a stop in 14 s. How far does it travel in that time? Find s.

v₀ = 10 m/sv = 0 m/st = 14 s
s = m
3.Medium
policea = 2 m/s²car18 m/s

A car speeding at a constant 18 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 18 m/sapolice = 2 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)4.615 s30

A car driving at 108 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −6.5 m/s²v = 0
s = m
5.Hard
v₀ = 19 m/s40 m

A ball is thrown straight up at 19 m/s from the edge of a roof 40 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 19 m/sh₀ = 40 mg = 9.81 m/s²
hmax = m
6.Hard
AB: 18 m/s20 m

Ball A is dropped from rest from a height of 20 m. At the same instant ball B is thrown straight up from the ground directly below at 18 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 20 mv0B = 18 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. v = 26 m/s
  2. 2. s = 70 m
  3. 3. d = 324 m
  4. 4. s = 69.23 m
  5. 5. hmax = 58.4 m
  6. 6. y = 13.94 m

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