A rocket launches an unpowered space capsule at point A with an absolute velocity vA = 8560 mi/hr at an altitude of 27 mi. After the capsule has traveled a distance of 259 mi measured along its absolute space trajectory, its velocity at B is 8100 mi/hr and its altitude is 48 mi. Determine the average resistance P to motion in the rarified atmosphere. The earth weight of the capsule is 77 lb, and the mean radius of the earth is 3959 mi. Consider the center of the earth fixed in space.