Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_29

2/29 Reconsider the rollout of the space-shuttle orbiter of the previous problem. The drag chute is deployed at 200 mi/hr, the wheel brakes are applied at 100 mi/hr until wheelstop, and the drag chute is jettisoned at 35 mi/hr. If the drag chute results in a deceleration of \(-0.0003v^2\) (in feet per second squared when the speed \(v\) is in feet per second) and the wheel brakes cause a constant deceleration of \(5\text{ ft/sec}^2\), determine the distance traveled from 200 mi/hr to wheelstop.