A hot air balloon decends toward the ground with a velocity of (1.6 m/s). A champagne bottle is opened to celebrate takeoff, expelling the cork horizontally with a velocity of (4.8 m/s) relative to the balloon. When opened, the bottle is 5.8 m above the ground. (Neglect air resistance.)
(a) What is the initial velocity of the cork, as seen by an observer on the ground? in the x and y direction
(b) What is the speed of the cork, and its initial direction of motion, as seen by the same observer?
(c) Determine the maximum height above the ground attained by the cork.
(d) How long does the cork remain in the air?