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)5 s17

A car speeds up uniformly from 12 m/s to 17 m/s in 5 s. Find the acceleration a.

v₀ = 12 m/sv = 17 m/st = 5 s
a = m/s²
2.Easy
t (s)v (m/s)5 s9.75

A car speeds up uniformly from 6 m/s to 9.75 m/s in 5 s. Find the acceleration a.

v₀ = 6 m/sv = 9.75 m/st = 5 s
a = m/s²
3.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
4.Medium
policea = 3.5 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 3.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 31 m/sapolice = 3.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 5 m/s40 m

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 40 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 7 m/s10 m

A ball is thrown straight up at 7 m/s from the edge of a roof 10 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 = 7 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 1 m/s²
  2. 2. a = 0.75 m/s²
  3. 3. s = 69.23 m
  4. 4. t = 17.71 s
  5. 5. hmax = 41.27 m
  6. 6. t = 2.31 s

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