Question 10 • Math 3
The height reaches its maximum at the vertex of the quadratic. For f(t) = −16t² + 48t, the vertex occurs at t = −48 ÷ (2 × −16) = 1.5 seconds. Substituting gives f(1.5) = −16(1.5)² + 48(1.5) = 36 feet, so the maximum height is 36 ft.
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