# Why Is The Speed, In General, Greater Than The Magnitude Of The Velocity?

From the definitions, we know that

$Speed = \frac{Distance\;travelled}{Time\;taken}$

And

$Velocity = \frac{Displacement\;of\;body}{Time\;taken}$

Consider the figure given below:

From the figure, speed and velocity can be given as:

$Speed = \frac{AB+BC}{t}$

And

$Velocity = \frac{AC}{t}$

Substituting the values, we get

$Speed = \frac{x+2y}{t}$

And

$Velocity = \frac{x}{t}$

Therefore, speed is greater than speed.