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A ball is thrown in the air from the top of the building

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

h(t)=−4.9∗t2+19.6t+24.h(t)=−4.9∗t2+19.6t+24.

(a) How long does it take for the ball to reach its maximum height?

(b) What is the maximum height of the ball?