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A car of mass `m` starta from rest and accelerates so that the instyantaneous power delivered to the car has a constant magnitude `P_(0)`. The instaneous velocity of this car is proportional toA. `t^(2) P_(0)`B. `t^(1//2)`C. `t^(-1//2)`D. `t//sqrtm` |
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Answer» Power `p_(0) = Fv = (m(dv)/(dt)) v = mv (dv)/(dt)` Integrating both sides `int p_(0) dt = int mv dv implies p_(0)t = (mv^(2))/(2)` `v^(2) =(2 p_(0) t)/(m) implies v prioop t^(1//2)` |
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