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(C) When a body moves in a circular path with a constant speed $v$,it undergoes uniform circular motion.In uniform circular motion,the velocity vector

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An acceleration of constant magnitude

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(C) When a body moves in a circular path with a constant speed $v$,it undergoes uniform circular motion.In uniform circular motion,the velocity vector changes continuously because its direction changes at every point,even though its magnitude remains constant.Since acceleration is the rate of change of velocity,the body experiences a centripetal acceleration directed towards the center of the circle.The magnitude of this centripetal acceleration is given by $a_c = \frac{v^2}{r}$,where $v$ is the constant speed and $r$ is the radius of the circular path.Since both $v$ and $r$ are constant,the magnitude of the acceleration is constant,but its direction changes continuously as the body moves along the path.Therefore,the body has an acceleration of constant magnitude.

$A$ body is moving in a circular path with a constant speed. It has

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