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8. Suppose you decide to throw down 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 French friend Pierre, who is standing on the ground right below you. At the same instant you throw down the melon with speed of 5 m/s, Pierre shoots an arrow straight up with an initial velocity of 25.1 m/s. (Of course, Pierre makes sure the area around him is cleared and gets out of the way quickly after he shoots his arrow. a) How long after you throw down the melon will the arrow hit it? b) At what height above Pierres head does this collision occur?
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