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)7 s3.5

A car moving at 0 m/s speeds up with a constant acceleration of 0.5 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 0.5 m/s²t = 7 s
s = m
2.Easy
t (s)v (m/s)4 s12

A car starts from rest and speeds up uniformly to 12 m/s in 4 s. Find the acceleration a.

v₀ = 0 m/sv = 12 m/st = 4 s
a = m/s²
3.Medium
t (s)v (m/s)3.571 s25

A car driving at 90 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −7 m/s²v = 0
s = m
4.Medium
a = ?s = 1800 m

A plane needs a speed of 280 km/h to take off and the usable runway is 1800 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 1800 m
a = m/s²
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.4 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 = 3.4 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 7 m/s35 m

A ball is thrown straight up at 7 m/s from the edge of a roof 35 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 = 7 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 12.25 m
  2. 2. a = 3 m/s²
  3. 3. s = 44.64 m
  4. 4. a = 1.68 m/s²
  5. 5. d = 51.78 m
  6. 6. t = 3.478 s

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