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A particle of mass \( m \) is moving along a circle of Constant radiustR. The centripetal acceleration varies as \( a=k^{2} R t^{2} \) where \( k \) is a constant and \( t \) is the time elapsed. What is the instantaneous power and average power delivered to the particle by the force acting on it. 1) \( \frac{ m }{4} k ^{2} Rt , \frac{ m }{8} k ^{2} Rt \) 2) \( \frac{ m }{2} k ^{2} Rt , \frac{ m }{4} k ^{2} Rt \) 3) \( m^{2} k^{2} R^{2} t, \frac{m}{2} k^{2} R^{2} t \) 4) \( m k^{2} R^{2} t, \frac{m}{2} k^{2} R^{2} t \)

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