A 230,000-lb space shuttle orbiter touches down at about 220 miles per hour (mph). At 200 mph, its drag parachute is deploys. The wheel brakes are applied at 100 mph until wheel sotp and the drag parachute is jettisoned from the orbiter at 35 mph. The deceleartion during the time the parachute is deployed is a function of velocity v and is given by -0.0003v^2 in ft/s^2 and the wheel brakes cause a constant deceleration of 5 ft/s^2. Determine the distance the orbiter travels from the time the parachute is deployed at 200 mph to wheel stop.