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 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 1 m/s² for 5 s. Find its final speed v.

v₀ = 0 m/sa = 1 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)11 sv = ?

A car moving at 0 m/s speeds up with a constant acceleration of 3.5 m/s² for 11 s. Find its final speed v.

v₀ = 0 m/sa = 3.5 m/s²t = 11 s
v = m/s
3.Medium
a = ?s = 900 m

A plane needs a speed of 300 km/h to take off and the usable runway is 900 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 300 km/hs = 900 m
a = m/s²
4.Medium
a = 2.25 m/s²s = 1100 m

A plane starts from rest and accelerates uniformly at 2.25 m/s² along a runway. Find its speed v after 1100 m.

v₀ = 0a = 2.25 m/s²s = 1100 m
v = m/s
5.Hard
v₀ = 11 m/s10 m

A ball is thrown straight up at 11 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 = 11 m/sh₀ = 10 mg = 9.81 m/s²
t = s
6.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

Answer key

  1. 1. v = 5 m/s
  2. 2. v = 38.5 m/s
  3. 3. a = 3.858 m/s²
  4. 4. v = 70.36 m/s
  5. 5. t = 2.937 s
  6. 6. d = 81 m

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