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1 July, 20:41

25. An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this

apple's height h at time t seconds after launch is h - 16t? + 646 + 80.

a Find the maximum height reached by the apple.

b. How many seconds will it take for the apple to return to the ground.

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  1. 1 July, 23:51
    0
    a. 144 ft

    b. 5 s

    Step-by-step explanation:

    h = - 16t² + 64t + 80

    a. This is a parabola, so the maximum height is at the vertex.

    t = - 64 / (2 * - 16)

    t = 2

    h = - 16 (2) ² + 64 (2) + 80

    h = 144

    The apple reaches a maximum height of 144 ft.

    b. 0 = - 16t² + 64t + 80

    0 = t² - 4t - 5

    0 = (t + 1) (t - 5)

    t = - 1 or 5

    t must be positive, so it takes 5 seconds to reach the ground.
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