Physics

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Two Peaches, Two Seconds, One Roof: A peach is thrown straight up from the edge of the roof of a building. A second peach is dropped from the roof 2s later.

a. If the height of the building is 60m what must the initial speed of the first peach be if both are to hit the ground at the same time?
b. Now consider the same situation, but now let the initial speed vi of the first peach be given and treat the height as an unknown h. What must the height of the building be for both peach to reach the ground at the same time for each of the following velocities:
i. vi = 13 m/s ii. vi = 19.2 m/s
c. If vi is greater than some value vmax than a value of h does not exist that allows both peaches to hit the ground at the same time. Solve for vmax. The vmax has some physical interpretation, what is it?
d. If vi is lesser than some value vmin than a value of h does not exist that allows both peach to hit the ground at the same time. Solve for vmin. The vmin has some physical interpretation, what is it?

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