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)11 s46

A car moving at 2 m/s speeds up with a constant acceleration of 4 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 2 m/sa = 4 m/s²t = 11 s
s = m
2.Easy
t (s)v (m/s)6 s30

A car moving at 12 m/s speeds up with a constant acceleration of 3 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 3 m/s²t = 6 s
s = m
3.Medium
a = ?s = 1100 m

A plane needs a speed of 180 km/h to take off and the usable runway is 1100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 180 km/hs = 1100 m
a = m/s²
4.Medium
t (s)v (m/s)3.968 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −7 m/s²v = 0
s = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.3 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 = 3.3 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 18 m/s15 m

A ball is thrown straight up at 18 m/s from the edge of a roof 15 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 18 m/sh₀ = 15 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 264 m
  2. 2. s = 126 m
  3. 3. a = 1.136 m/s²
  4. 4. s = 55.11 m
  5. 5. d = 48.9 m
  6. 6. hmax = 31.51 m

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