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 jettisioned from the orbiter. if the deceleration in feet per second squared during the time that the chute is deployed is -0.003 v^2 ( speed v in feet per second), determine the corresponding distance traveled by the orbiter. Assume no braking from its wheel brake.