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(a) Show that Eq. 15-13, the variation of pressure with altitude in the atmosphere (temperature assumed to be uniform), can be written in terms of density p aswhere Po is the density at the ground (11 = 0). (b) Assume that the drag force D due to the air on an object moving at speed v is given by D = CApv2 where C is a constant, A is the frontal cross-sectional area of the object, and p is the local air density. Find the altitude at which the drag force on a rocket is a maximum if the rocket is launched vertically and moves with constant upward acceleration a.
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