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 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 3.5 m/s² for 7 s. Find its final speed v.

v₀ = 14 m/sa = 3.5 m/s²t = 7 s
v = m/s
2.Easy
t (s)v (m/s)18 s14

A train slows down uniformly from 25 m/s to 14 m/s in 18 s. How far does it travel in that time? Find s.

v₀ = 25 m/sv = 14 m/st = 18 s
s = m
3.Medium
t (s)v (m/s)t = ?20

A car driving at 72 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 72 km/ha = −7.5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)6.25 s25

A car driving at 90 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −4 m/s²v = 0
s = m
5.Hard
v₀ = 14 m/s15 m

A ball is thrown straight up at 14 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 = 14 m/sh₀ = 15 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. v = 38.5 m/s
  2. 2. s = 351 m
  3. 3. t = 2.667 s
  4. 4. s = 78.13 m
  5. 5. hmax = 24.99 m
  6. 6. d = 51.78 m

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