Question: A small rocket is fired directly upward, and its height s in feet after t seconds is given by the function s(t) = -16t 2

A small rocket is fired directly upward, and its height s in feet after t seconds is given by the function s(t) = -16t2 + 88t + 48.

(a) Determine the time at which the rocket reaches its maximum height.

(b) Determine the maximum height.

(c) Between what two times (in seconds, to the nearest tenth) will the rocket be more than 100 ft above ground level?

(d) After how many seconds will the rocket hit the ground?

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