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Work, Energy And Power

Question
CBSEENPH11017244

A body of mass m accelerates uniformly from rest to v1 in time t1. Find the instantaneous power delivered to the body at any instant. 

Solution
As the speed of the body increases by v1 in time t1, the acceleration of body becomes, 
                          straight a equals straight v subscript 1 over straight t 
The instantaneous power delivered to the body by accelerating force is, 
                         straight P space equals space F v space

space space space equals m a v space
space space space equals m a squared straight t
space space space equals straight m open parentheses straight v subscript 1 over straight t subscript 1 close parentheses squared straight t space