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)3 sv = ?

A car moving at 16 m/s speeds up with a constant acceleration of 1 m/s² for 3 s. Find its final speed v.

v₀ = 16 m/sa = 1 m/s²t = 3 s
v = m/s
2.Easy
t (s)v (m/s)11 s12

A train slows down uniformly from 17 m/s to 12 m/s in 11 s. How far does it travel in that time? Find s.

v₀ = 17 m/sv = 12 m/st = 11 s
s = m
3.Medium
t (s)v (m/s)7.407 s33.33

A car driving at 120 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 120 km/ha = −4.5 m/s²v = 0
s = m
4.Medium
a = ?s = 2100 m

A plane needs a speed of 260 km/h to take off and the usable runway is 2100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 2100 m
a = m/s²
5.Hard
v₀ = 12 m/s5 m

A ball is thrown straight up at 12 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 12 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.5 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 = 3.5 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. v = 19 m/s
  2. 2. s = 159.5 m
  3. 3. s = 123.5 m
  4. 4. a = 1.242 m/s²
  5. 5. hmax = 12.34 m
  6. 6. d = 54.73 m

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