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

A dragster of mass m races another a distance d from a dead stop. Assume a constant instaneous power P for the entire race (provided by engine) and the dragster is like a particle. Find the elapsed time for the race.

2. Relevant equations

Well, P = Fv is needed for this I know, and F = ma and v = d/t

so P = (m*a*d)/t

and Pt = m*a*d

so t = (m*a*d)/P

3. The attempt at a solution

Ok, I thought that the final equation was enough, but evidently there is some manipulating of variables that I am oblivious to, because hte back of the book says t = ((3d/2)^(2/3))((m/2P)^(1/3)).

I have no idea where a cube or cube root would come into play in determining the time. I have a feeling there is some integration involved, but how would a work integral give me what the book says?

So you now know I am not looking for an answer, but a method. (Judging by the fact that these conditions have been mandated for the first time I have seen them, I'm guessing people were just trying to get easy answers. I just want to learn the problem solving technique from the pros.)

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# Drag racing (a symbolic power problem)

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