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)5 sv = ?

A car moving at 8 m/s speeds up with a constant acceleration of 2 m/s² for 5 s. Find its final speed v.

v₀ = 8 m/sa = 2 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)9 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 3.5 m/s² for 9 s. Find its final speed v.

v₀ = 12 m/sa = 3.5 m/s²t = 9 s
v = m/s
3.Medium
t (s)v (m/s)2.381 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −7 m/s²v = 0
s = m
4.Medium
a = ?s = 2400 m

A plane needs a speed of 220 km/h to take off and the usable runway is 2400 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 220 km/hs = 2400 m
a = m/s²
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.8 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 = 3.8 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 18 m/s35 m

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 18 m/s
  2. 2. v = 43.5 m/s
  3. 3. s = 19.84 m
  4. 4. a = 0.778 m/s²
  5. 5. d = 64.04 m
  6. 6. t = 5.076 s

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