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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t)= -4.9t^2 + 24t+ 8. What is the height of the building? What is the maximum height reached by the ball? How long does it take to reach maximum height? Also, find a rigorous algebraic solution for the problem.

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