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
h = 55 m

A stone is dropped from rest from a bridge 55 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 55 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)7 s21.25

A car speeds up uniformly from 2 m/s to 21.25 m/s in 7 s. Find the acceleration a.

v₀ = 2 m/sv = 21.25 m/st = 7 s
a = m/s²
3.Medium
t (s)v (m/s)0.9 s22.22

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/htr = 0.9 sa = −4.5 m/s²
d = m
4.Medium
a = 3.25 m/s²s = 1400 m

A plane starts from rest and accelerates uniformly at 3.25 m/s² along a runway. Find its speed v after 1400 m.

v₀ = 0a = 3.25 m/s²s = 1400 m
v = m/s
5.Hard
AB: 20 m/s25 m

Ball A is dropped from rest from a height of 25 m. At the same instant ball B is thrown straight up from the ground directly below at 20 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 25 mv0B = 20 m/sg = 9.81 m/s²
t = s
6.Hard
v₀ = 12 m/s10 m

A ball is thrown straight up at 12 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 = 12 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.349 s
  2. 2. a = 2.75 m/s²
  3. 3. d = 74.87 m
  4. 4. v = 95.39 m/s
  5. 5. t = 1.25 s
  6. 6. t = 3.103 s

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