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From the edge of the rooftop of a building, a boy throws a stone at an angle 30.0° above the horizontal. The stone hits the ground 4.10 s later, 112 m away from the base of the building. (Ignore air resistance.)

(a) Find the initial velocity of the stone.
magnitude _____

(b) Find the initial height h from which the stone was thrown.

(c) Find the maximum height H reached by the stone.

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