A boy decides to propose to his girlfriend in a hot air balloon. They are in the balloon, and it is moving 15 degrees south of east at a velocity 10 m/s relative to the air. When the balloon has a height of 90 m the boy is about to propose to but he drops the ring. The wind is also blowing to the east at 12 m/s relative to the ground. They now need to find the ring. a) What is the horizontal distance ( magnitude and direction) the ring lands on the ground from where it drops out of the balloon? b) What is the final velocity of the ring right before it hits the ground? c) Draw the vertical position vs time graph, velocity vs time graph, and acceleration vs time graph of the ring.

A boy decides to propose to his girlfriend in a hot air balloon. They are in the balloon, and it is moving 15 degrees south of east at a velocity 10 m/s relative to the air. When the balloon has a height of 90 m the boy is about to propose to but he drops the ring. The wind is also blowing to the east at 12 m/s relative to the ground. They now need to find the ring. a) What is the horizontal distance ( magnitude and direction) the ring lands on the ground from where it drops out of the balloon? b) What is the final velocity of the ring right before it hits the ground? c) Draw the vertical position vs time graph, velocity vs time graph, and acceleration vs time graph of the ring.