Work Energy And Power Question 263

Question: A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then

Options:

A) $ v\propto t $

B) $ v\propto \frac{1}{t} $

C) $ v\propto \sqrt{t} $

D) $ v\propto \frac{1}{\sqrt{t}} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Power, $ P=F.v=m\frac{dv}{dt}.v $

As P is constant, $ \frac{v}{dt}= $ constant

$ \Rightarrow v\propto dt\Rightarrow v\propto t $



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