The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

The height is greatest at the vertex of the quadratic. For h(t) = −16t² + 96t + 6, the time of the vertex is t = −b/(2a) = −96/[2(−16)] = 3 seconds, so the correct choice is 3 seconds.

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