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Q. Statement I: Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion.
Statement II:For uniform circular motion centripetal acceleration is a constant vector.

Motion in a Plane

Solution:

Centripetal acceleration $=\frac{v^{2}}{R}$
For uniform circular motion, $v$ and $R$ are constant, the magnitude of the centripetal acceleration is constant. But the direction changes-pointing always towards the centre. Therefore, a centripetal acceleration is not a constant vector.