Explain the difference between speed and velocity with an example.

Speed is the distance traveled in unit time while velocity
is the rate of change in your position or the displacement in unit time. The difference
between the two can be understood if the difference between distance and displacement is
clear.

Distance is a scalar quantity while displacement is
a vector. Distance is essentially the length that you have traveled while displacement
is the change in your position.

To make things clearer
consider this example. You go from your home to your school which is 5 kilometers away
from home and come back; it takes you an hour to do that. The distance you have traveled
is 10 kilometers but your displacement is 0 as there is no net change in position. As a
result your velocity is 0, while your speed is 10/1 = 10 kilometers per
hour.