Problem

An airplane has a weight of 60.000 lb and its engines develop a constant thrust of 12.500...

An airplane has a weight of 60.000 lb and its engines develop a constant thrust of 12.500 lb during take-off. The drag D exerted on the airplane has a magnitude D = 0.060υ2, where D is expressed in lb and υ speed in ft/s. The airplane starts from rest at the end of the runway and becomes airborne at a speed of 250 ft/s. Determine and plot the position and speed of the airplane as functions of time and the speed as a function of position as the airplane moves down the runway.

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