Two friends, separated by 8.28m are playing catch, with a baseball, over a fence with a height of 4.72m that is midway between them. The first friend releases the ball at a height of 1.99m and the second friend catches it at the same height. Neglect the diameter of the baseball and atmospheric drag.
A) What is the minimum vertical component of the initial velocity, in meters per second, such that the baseball just clears the top of the fence?
B) At what angle above the horizontal, in degrees, is the baseball thrown if it just clears the top of the fence?
C) What is the speed of the ball, in meters per second, at the moment it is released by the first friend in order to just clear the fence?
D) To achieve the maximum range, the baseball would be thrown at an angle of 45*. If the fence is removed, what is the minimum speed with which the ball could be thrown in order to be caught by the second friend?