A particle of mass \( m \) is moving in a circular path of constant radius \( r \) such that its...

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A particle of mass \( m \) is moving in a circular path of constant radius \( r \) such that its centripetal acceleration \( a_{c} \) is varying with time \( t \) as \( a_{c}=k^{2} r t^{2} \) where \( k \) is a constant. The power delivered to the particle by the force acting on it is
(a) \( 2 \pi m k^{2} r^{2} t \)
(b) \( m k^{2} r^{2} t \)
- (c) \( \left(m k^{4} r^{2} t^{5}\right) / 3 \)
(d) Zero
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