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 = 30 m

A stone is dropped from rest from a bridge 30 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 = 30 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2 m/s² for 3 s. Find its final speed v.

v₀ = 8 m/sa = 2 m/s²t = 3 s
v = m/s
3.Medium
t (s)v (m/s)1.786 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −7 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.1 s20

A driver moving at 72 km/h sees an obstacle. Her reaction time is 1.1 s, after which the car brakes with a constant deceleration of 7.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 72 km/htr = 1.1 sa = −7.5 m/s²
d = m
5.Hard
v₀ = 15 m/s10 m

A ball is thrown straight up at 15 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 = 15 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.Hard
AB: 25 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 25 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 35 mv0B = 25 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 2.473 s
  2. 2. v = 14 m/s
  3. 3. s = 11.16 m
  4. 4. d = 48.67 m
  5. 5. t = 3.621 s
  6. 6. t = 1.4 s

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