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(D) The centripetal acceleration $(a_c = v^2/r)$ is required for any circular motion to change the direction of the velocity vector.Tangential acceler

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May be more or less than its tangential acceleration

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(D) The centripetal acceleration $(a_c = v^2/r)$ is required for any circular motion to change the direction of the velocity vector.Tangential acceleration $(a_t = dv/dt)$ is responsible for changing the magnitude of the velocity.Since $a_c$ depends on the speed and radius,and $a_t$ depends on the rate of change of speed,there is no fixed relationship between them.In uniform circular motion,$a_t = 0$ while $a_c 
eq 0$.In non-uniform circular motion,both can have any arbitrary values depending on the kinematics of the particle.Therefore,the centripetal acceleration may be more,less,or even equal to the tangential acceleration depending on the specific motion.

For a particle in circular motion,the centripetal acceleration is

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