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 s23

A car moving at 8 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 3 m/s²t = 5 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
a = ?s = 1900 m

A plane needs a speed of 250 km/h to take off and the usable runway is 1900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 250 km/hs = 1900 m
a = m/s²
4.Medium
a = ?s = 1300 m

A plane needs a speed of 260 km/h to take off and the usable runway is 1300 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 1300 m
a = m/s²
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 4.3 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 = 4.3 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 17 m/s20 m

A ball is thrown straight up at 17 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 = 17 m/sh₀ = 20 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 77.5 m
  2. 2. t = 3.91 s
  3. 3. a = 1.269 m/s²
  4. 4. a = 2.006 m/s²
  5. 5. d = 81 m
  6. 6. t = 4.394 s

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