# What is the difference between speed and velocity?

Oct 10, 2017

You can think of speed as the $m a g n i t u \mathrm{de}$ of velocity.

Speed is just that: a speed.

4 [meters per second]
25 [miles per hour]

Speed can never be negative because it is a magnitude.

Velocity is speed with a $\mathrm{di} r e c t i o n$.

4 meters per second [to the North]
25 miles per hour [15 degrees West of North]

We can make these quantities negative because it affects direction.

-4 meters per second [to the North] would actually be 4 meters per second [to the South]

Oct 10, 2017

See below.

#### Explanation:

$\vec{v}$ velocity.
$\left\lVert \vec{v} \right\rVert$ speed.