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 s6

A car speeds up uniformly from 4 m/s to 6 m/s in 4 s. Find the acceleration a.

v₀ = 4 m/sv = 6 m/st = 4 s
a = m/s²
2.Easy
t (s)v (m/s)4 s13

A car speeds up uniformly from 6 m/s to 13 m/s in 4 s. Find the acceleration a.

v₀ = 6 m/sv = 13 m/st = 4 s
a = m/s²
3.Medium
t (s)v (m/s)4.444 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −7.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −6 m/s²v = 0
t = s
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.2 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 = 3.2 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 6 m/s40 m

A ball is thrown straight up at 6 m/s from the edge of a roof 40 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 = 6 m/sh₀ = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. a = 1.75 m/s²
  3. 3. s = 74.07 m
  4. 4. t = 4.63 s
  5. 5. d = 46.1 m
  6. 6. t = 3.532 s

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