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)8 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 4 m/s² for 8 s. Find its final speed v.

v₀ = 10 m/sa = 4 m/s²t = 8 s
v = m/s
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 4 m/s speeds up with a constant acceleration of 3.5 m/s² for 3 s. Find its final speed v.

v₀ = 4 m/sa = 3.5 m/s²t = 3 s
v = m/s
3.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
4.Medium
t (s)v (m/s)t = ?16.67

A car driving at 60 km/h brakes with a constant deceleration of 4 m/s² until it stops. How long does braking take? Find t.

v₀ = 60 km/ha = −4 m/s²v = 0
t = s
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.6 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 = 1.6 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 11 m/s25 m

A ball is thrown straight up at 11 m/s from the edge of a roof 25 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 = 11 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 42 m/s
  2. 2. v = 14.5 m/s
  3. 3. s = 78.13 m
  4. 4. t = 4.167 s
  5. 5. d = 12.01 m
  6. 6. t = 3.642 s

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