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
v = ?h = 80 m

A stone is dropped from rest from a bridge 80 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 80 mg = 9.81 m/s²
v = m/s
2.Easy
t (s)v (m/s)9 s31

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 3 m/s²t = 9 s
s = m
3.Medium
t (s)v (m/s)3.333 s10

A car driving at 36 km/h brakes with a constant deceleration of 3 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −3 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)2.778 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −8 m/s²v = 0
s = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.6 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 1.6 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
AB: 15 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 15 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 25 mv0B = 15 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. v = 39.62 m/s
  2. 2. s = 157.5 m
  3. 3. s = 16.67 m
  4. 4. s = 30.86 m
  5. 5. d = 12.01 m
  6. 6. y = 11.37 m

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