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(B) Let $R$ be the radius of the circle. After half rotation,the particle moves from point $A$ to point $B$.Displacement is the straight-line distance

Vedclass · Accepted Answer

$2\,\frac{v}{\pi}$

Vedclass · Answer

(B) Let $R$ be the radius of the circle. After half rotation,the particle moves from point $A$ to point $B$.Displacement is the straight-line distance between $A$ and $B$,which is the diameter of the circle,$AB = 2R$.The distance covered along the circular path is $\pi R$.Since the speed is constant $v$,the time taken $t$ is given by $t = \frac{	ext{distance}}{	ext{speed}} = \frac{\pi R}{v}$.Average velocity is defined as the total displacement divided by the total time taken.$	ext{Average velocity} = \frac{	ext{Displacement}}{	ext{Time taken}} = \frac{2R}{\pi R / v} = \frac{2v}{\pi}$.

$A$ particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation?

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