Physics: Ball Height The height of a ball that is thrown directly upward from a point 200 feet above the ground with an initial velocity of 40 feet per second is given by h(t)=-16r² + 40 + 200, where r is the amount of time elapsed since the ball was thrown. Here, is in seconds and h(t) is in feet. (a) Sketch a graph of h. (b) When will the ball reach its maximum height, and what is the maximum height?

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