The $234000-$lb space$-$shuttle orbiter touches down at about $239$ mi$/$hr$.$ At $205$ mi$/$hr its drag parachute deploys. At $38$ 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 $-0\mathrm{.}00037$v$^2($speed vin feet per second$),$ determine the corresponding distances traveled by the orbiter. Assume no braking from its wheel brakes. Answer: s$=$ i ft