Question

The path of a diver diving into the water is approximately parabolic. Diving Timelapse The function h(t)=-2t^2+3t+9 h ( t ) = − 2 t 2 + 3 t + 9 most closely represents the height (h) of the diver in feet after t seconds. How high does the diver reach? Round to the nearest tenth. Hint: Make sure you include units. A space is needed between the number and unit. Example: 34.8 feet

Answer 1

10.125 feet

Explanation:

h(t) = -2t² + 3t + 9

The maximum height is at the vertex of the parabola. For a parabola ax² + bx + c, the vertex is at x = -b/(2a).

t = -3 / (2×-2)

t = 3/4

h(3/4) = -2(3/4)² + 3(3/4) + 9

h(3/4) = -9/8 + 9/4 + 9

h(3/4) = 81/8

h(3/4) = 10.125 feet