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)6 s16

A car moving at 10 m/s speeds up with a constant acceleration of 1 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 1 m/s²t = 6 s
s = m
2.Easy
h = 75 m

A stone is dropped from rest from a bridge 75 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 = 75 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)1.25 s10

A car driving at 36 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −8 m/s²v = 0
s = m
4.Medium
a = ?s = 800 m

A plane needs a speed of 200 km/h to take off and the usable runway is 800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 200 km/hs = 800 m
a = m/s²
5.Hard
v₀ = 12 m/s25 m

A ball is thrown straight up at 12 m/s from the edge of a roof 25 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 = 25 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.5 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 = 4.5 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. s = 78 m
  2. 2. t = 3.91 s
  3. 3. s = 6.25 m
  4. 4. a = 1.929 m/s²
  5. 5. t = 3.791 s
  6. 6. d = 88.29 m

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