Hot air ballooning: If air resistance is neglected, the velocity (in ft/s) of a falling ob...

Hot air ballooning: If air resistance is neglected, the velocity (in ft/s) of a falling object can be closely approximated by the function , where sis the distance the object has fallen (in feet). A balloonist suddenly finds it necessary to release some ballast in order to quickly gain altitude.

(a) If she were flying at an altitude of 1000 ft, with what velocity will the ballast strike the ground?

(b) If the ballast strikes the ground with a velocity of 225 ft/sec, what was the altitude of the balloon?