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Define Rocket in Drag (Princeton)?
A rocket has an effectual frontal area A and blasts off with a constant acceleration a straight up from the surface of the Earth.
a) Use either/or dimensional analysis or an elementary derivation to find out how the atmospheric drag on the rocket should vary as some power(s) of the area A, the rocket velocity v and the atmospheric density p assuming that we are in the region of high Reynolds numbers.
b) Presume that the atmosphere is isothermal with temperature T. Analyzes the variation of the atmospheric density p with height z. Presume that the gravitational acceleration g is a constant and that the density at sea level is Po.
c) Find the height ho at which the drag on the rocket is at an utmost.
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