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napaul
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Homework Statement
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.)
Homework Equations
I think its:
P = dW/dT
P = Fvcos(Phi) = F dot v
D = 1/2aT^2
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...