A hot-air balloon rises from the ground with a velocity of (2.00 m/s)ŷ. Achampagne bottle...

A hot-air balloon rises from the ground with a velocity of (2.00 m/s)ŷ. Achampagne bottle is opened to celebrate takeoff, expelling the cork horizontally with a velocity of (5.00 m/s) relative to the balloon. When opened, the bottle is 6.00 m above the ground. (a) What is the initial velocity of the cork, as seen by an observer on the ground? Give your answer in terms of the x and y unit vectors. (b) What arc 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 docs the cork remain in the air?