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A body of mass \( m \) accelerates uniformly from rest to a speed \( v \) in time \( T \). The instantaneous power delivered to the body as a function of time \( t \) is given by :
(a) \( \frac{1}{2} \frac{m v^{2}}{T^{2}} t \)
(b) \( \frac{1}{2} \frac{m v^{2}}{T^{2}} t^{2} \)
(c) \( \frac{m v^{2}}{T^{2}} t \)
(d) \( \frac{m v^{2}}{T^{2}} t^{2} \)
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