Suppose you decide to drop a melon from rest from the first observation platform of the Eiffel Tower. The initial height h from which the melon is released is 58.3 m above the head of your friend Pierre, who is standing on the ground right below you. At the same instant you release the melon, Pierre shoots an arrow straight up with an initial velocity of 25.1 m/s. Find the following:

1. How long after you drop the melon will the arrow hit it.
2. At what height above Pierre's head does this collision occur?
3. What are the velocities of the melon and arrow at the moment of collision?
4. Draw a single graph of position vs time with both the melon's and arrow's path plotted on the same graph.