(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An automobile with mass m accelerates starting from rest, while the engine supplies constant power P.

a) Show that the speed is given as a function of time by v= (2Pt/m)^(1/2)

b) Show that the acceleration is given as a function of time by a= (P/2mt)^(1/2)

c) Show that the displacement is given as a function of time by x-x0= (8P/9m)^(1/2)t^(3/2)

3. The attempt at a solution

I know that this isn't a difficult question but I always seem to get confused. For a) I started trying to find the derivative v= (1/2)(2P/m) ^ (-1/2)....but I don;t know how to contiue by showing that it's a function of time. If someone could just help me with a i'm sure i'll be fine for b) and c)

Thanks!

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# Homework Help: Differention problem

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