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A stone is thrown upward from the top of a 180 meter building at a speed of 10 meters per second. Its altitude in meters above the ground is modeled by the function h(t) = -9.8t^2 + 10t + 180, where t is time in seconds. After how many seconds does the stone reach its maximum height above the ground? What is that maximum height? Round your answers to the nearest hundredth's place.

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h(t)= -9.8t^2 + 10t + 180
On differentiating the above equation with respect to t:
h^' (t)=(d ...

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