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 10 m/s speeds up with a constant acceleration of 1.5 m/s² for 7 s. Find its final speed v.

v₀ = 10 m/sa = 1.5 m/s²t = 7 s
v = m/s
2.Easy
v = ?h = 10 m

A stone is dropped from rest from a bridge 10 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 10 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)4.444 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 5 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)4.444 s20

A car driving at 72 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
v₀ = 10 m/s10 m

A ball is thrown straight up at 10 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 10 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 1.9 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 = 1.9 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. v = 20.5 m/s
  2. 2. v = 14.01 m/s
  3. 3. s = 49.38 m
  4. 4. s = 44.44 m
  5. 5. hmax = 15.1 m
  6. 6. d = 16.81 m

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