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)6 s8

A car speeds up uniformly from 5 m/s to 8 m/s in 6 s. Find the acceleration a.

v₀ = 5 m/sv = 8 m/st = 6 s
a = m/s²
2.Easy
t (s)v (m/s)10 s29.5

A car speeds up uniformly from 2 m/s to 29.5 m/s in 10 s. Find the acceleration a.

v₀ = 2 m/sv = 29.5 m/st = 10 s
a = m/s²
3.Medium
a = 3.5 m/s²s = 900 m

A plane starts from rest and accelerates uniformly at 3.5 m/s² along a runway. Find its speed v after 900 m.

v₀ = 0a = 3.5 m/s²s = 900 m
v = m/s
4.Medium
t (s)v (m/s)t = ?33.33

A car driving at 120 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 120 km/ha = −5.5 m/s²v = 0
t = s
5.Hard
v₀ = 5 m/s35 m

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 35 mg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.2 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 = 2.2 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. a = 2.75 m/s²
  3. 3. v = 79.37 m/s
  4. 4. t = 6.061 s
  5. 5. t = 3.229 s
  6. 6. d = 22.35 m

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