1. A hot air balloon decends toward the ground with a velocity of (1.6 m/s)y hat. A champagne bottle is opened to celebrate takeoff, expelling the cork horizontally with a velocity of (4.8 m/s)x hat relative to the balloon. When opened, the bottle is 7.0 m above the ground. (Neglect air resistance.)
(a) What is the initial velocity of the cork, as seen by an observer on the ground?
vvec = ( m/s)x hat + ( m/s)y hat
(b) What is the speed of the cork, and its initial direction of motion, as seen by the same observer?
Speed m/s
Direction ° below the horizontal
(c) Determine the maximum height above the ground attained by the cork.
m
(d) How long does the cork remain in the air?
s