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6 September, 12:43

Select the correct answer.

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h (t) = - 16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h (t) represents the baseball's height in feet. When factored, this equation is h (t) = - 16 (t - 7) (t + 2).

What is a reasonable time for it to take the baseball to land on the ground?

A.

7 seconds

B.

2 seconds

C.

9 seconds

D.

5 seconds

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Answers (1)
  1. 6 September, 13:00
    0
    Answer:The reasonable time for the base ball to land on the ground is 5 seconds

    Step-by-step explanation:

    To get the time we will differentiate

    h (t) = - 16t2 + 80t + 224, w. r. t t

    dh (t) / dt = 0

    -32t + 80=0

    32t=80

    t=80/32

    t = 2.5 seconds This is the time the base ball has been in the air

    The reasonable time for it to take the baseball to land on the ground is T = 2*t

    T = 2*2.5

    T=5 seconds
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