The 230,000-lb space-shuttle orbiter touches down at about 220 mi / hr. At 200 mi / hr its drag parachute deploys. At 35 mi / hr, the chute is jettisoned from the orbiter. If the deceleration in feet per second squared during the time that the chute is deployed is −0.0003v2 (speed v in feet per second), determine the corresponding distance traveled by the orbiter. Assume no braking from its wheel brakes