Question

Velocity of a body can never be greater than its speed?comment

Answer 1

In case the average speed is not equal to the magnitude of the average velocity, this is because the motion involves a change in direction and so path length is greater thanthe magnitude of displacement. So the average speed is greater than the magnitude of the velocity.

Answer 2

VELOCITY OF A BODY CANNOT BE GREATER THAN SPEED :

• First of all, let's define the terms :

Speed is defined as the ratio of total distance to the total time.

$\boxed{speed = \dfrac{distance}{time} }$

Velocity is defined as the ratio of total displacement to the total time.

$\boxed{velocity= \dfrac{displacement}{time} }$

Now, we know that distance refers to the total path length whereas displacement means the shortest length between the starting and stopping point.

$\boxed{displacement \leqslant distance}$

Hence, the velocity can never be greater than the speed of an object.