Mathematics

Question

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

1 Answer

  • 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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