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 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 0.5 m/s² for 5 s. Find its final speed v.

v₀ = 10 m/sa = 0.5 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)10 s22

A car speeds up uniformly from 2 m/s to 22 m/s in 10 s. Find the acceleration a.

v₀ = 2 m/sv = 22 m/st = 10 s
a = m/s²
3.Medium
t (s)v (m/s)0.7 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 0.7 s, after which the car brakes with a constant deceleration of 8 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 0.7 sa = −8 m/s²
d = m
4.Medium
policea = 3 m/s²car28 m/s

A car speeding at a constant 28 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 28 m/sapolice = 3 m/s²v0,police = 0
d = m
5.Hard
v₀ = 12 m/s20 m

A ball is thrown straight up at 12 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 12 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 16 m/s20 m

A ball is thrown straight up at 16 m/s from the edge of a roof 20 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 = 16 m/sh₀ = 20 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 12.5 m/s
  2. 2. a = 2 m/s²
  3. 3. d = 24.56 m
  4. 4. d = 522.7 m
  5. 5. hmax = 27.34 m
  6. 6. t = 4.227 s

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