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)4 s20

A car moving at 8 m/s speeds up with a constant acceleration of 3 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 3 m/s²t = 4 s
s = m
2.Easy
t (s)v (m/s)11 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 4 m/s² for 11 s. Find its final speed v.

v₀ = 12 m/sa = 4 m/s²t = 11 s
v = m/s
3.Medium
t (s)v (m/s)5.051 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
a = ?s = 1700 m

A plane needs a speed of 280 km/h to take off and the usable runway is 1700 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 1700 m
a = m/s²
5.Hard
v₀ = 12 m/s35 m

A ball is thrown straight up at 12 m/s from the edge of a roof 35 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 12 m/sh₀ = 35 mg = 9.81 m/s²
hmax = m
6.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

Answer key

  1. 1. s = 56 m
  2. 2. v = 56 m/s
  3. 3. s = 70.15 m
  4. 4. a = 1.779 m/s²
  5. 5. hmax = 42.34 m
  6. 6. d = 51.78 m

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