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Interview Question for Mechanical Engineer at Apple:
A car on a hill of constant slope accelerates from rest under gravity to a point on the hill. If you want to maximize the velocity of the car at this point, where along the length of the car (e.g. downhill or uphill) would you fix an additional mass, if (a) the finishing point is on the slope of the hill or (b) the finishing point is on a flat below the slope of the hill.
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a) Fixing an additional mass is sort of arbitrary. The delta of the height would be the same, so it doesn't matter. If you don't have to fix it, things change. Think about it and it'll come...
b) Back. No question. You capitalize on the potential energy of the center of mass for longer. The front of the car will be at h=0 while the back is still at h=h0 right at the transition point.
You'll really need to understand it to give a good answer, though. Good luck...