If the magnitude of average speed and average | vedclass

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Question

(D) The magnitude of average speed is defined as $\frac{	ext{Total Distance}}{	ext{Total Time}}$.The magnitude of average velocity is defined as $\f

Vedclass · Accepted Answer

The particle must move in a straight line without turning back

Vedclass · Answer

(D) The magnitude of average speed is defined as $\frac{	ext{Total Distance}}{	ext{Total Time}}$.The magnitude of average velocity is defined as $\frac{|	ext{Total Displacement}|}{	ext{Total Time}}$.For these two quantities to be equal, the total distance traveled must be equal to the magnitude of the total displacement.This condition is satisfied if and only if the particle moves in a straight line without changing its direction of motion.Therefore, the correct option is $D$.

If the magnitude of average speed and average velocity over a time interval are the same, then:

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