A hot air balloon rises from the ground with a velocity of(2.2 m/s)yhat. A champagne bottle is opened to celebrate takeoff, expelling thecork horizontally with a velocity of (5.6 m/s)xhat relativeto the balloon. When opened, the bottleis 5.0 m above the ground. (Neglect air resistance.)
(a) What is the speed of the cork, and its initialdirection of motion, as seen by the same observer?
(b) Determine the maximum height above the ground attained by thecork.
(c) How longdoes the cork remain in the air?