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A stone is thrown directly upward from a height of 30 ft with an initial  velocity of 60 ft/sec. The height of the stone, in feet, t seconds after it has been thrown is given by the function s(t) = -16t2 + 60t + 30. Determine the time at which the stone reaches its maximum height and find the maximum height. Find the time it takes the stone to hit the ground.

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