Question

The numerical ratio of average velocity to average speed of an object when it is moving along
a straight path is

(a) 2 : 1. (b) 1: 2. (c) 1: 1. (d) 4: 1.
please it's urgent​

Answer 1

Required Answer:-

Velocity is all about directed speed i.e. it possesses both magnitude and direction whereas speed can be defined using magnitude only.

When a body moves along a straight line path, the total distance travelled = total displacement of the body. And, the direction is towards any one direction.

We know that:

${ \dag{\underline{ \boxed{ \bf{ \purple{Avg. \: velocity = \frac{Total \: displacement}{Total \: time} }}}}}}$

And,

${ \dag{\underline{ \boxed{ \bf{ \purple{Avg. \: speed= \frac{Total \: distance}{Total \: time} }}}}}}$

According to the above formula, Average speed is equal to average velocity since distance and displacement is same. As it is a single body, time taken is same in both cases. Therefore: Required ratio is 1 : 1 (C)