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

A funny car accelerates from rest through a measured track distance in time T with the engine operating at a constant power P. If the track crew can increase the engine power by a differential amount dP, what is the change in the time required for the run? (Use any variable or symbol stated above as necessary.)

2. Relevant equations

I think its:

P = dW/dT

P = Fvcos(Phi) = F dot v

D = 1/2aT^2

3. The attempt at a solution

Sorry this is my first post, please be lenient on me...

Okay, so far I started with

P = dW/dT = F [dot] V

F = (ma)

V = aT

so P = ma(aT)cos(Phi)

P = [mTa^2] cos(Phi)

P = mT[(2d)/T^2]^2 cos(Phi)

P = mT[(4d^2)/T^4] cos(Phi)

P = [4md^2/T^3] cos(Phi)

dP/dT = [8md/3T^2] [-sin(Phi)]

dT = [[3T^2(dP)/8md] [-sin(Phi)]

I know its wrong, but I need some guidance because I'm really confused...

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# Differentiating Power and Time

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