Path of A Diver

Discussion in 'Other Pre-University Math' started by nycmathguy, Aug 25, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.1
    Question 67

    Let me see.

    Vertex = (-b/2a, f(-b/2a))

    Let a = -4/9

    Let b = 24/9

    Let c = 12

    -(24/9) ÷ 2(-4/9)

    -(24/9) ÷ (-8/9)

    -(24/9) • (-9/8)

    (24/9) • (9/8)

    (24/8) = 3

    Vertex = (3, f(3)).

    I now simply have to find f(3) to be done.

    True?



    20210825_013608.jpg
     
    nycmathguy, Aug 25, 2021
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  2. nycmathguy

    MathLover1

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    True!
     
    MathLover1, Aug 25, 2021
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  3. nycmathguy

    nycmathguy

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    This is easy enough to do on my own.
     
    nycmathguy, Aug 26, 2021
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  4. nycmathguy

    nycmathguy

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    Let f(3) be the maximum height of the diver.

    f(3) = -(4/9)(3)^2 + (24/9)(3) + 12

    f(3) = -(4/9)(9) + (24/3) + 12

    f(3) = -4 + 8 + 12

    f(3) = -4 + 20

    f(3) = 16

    The diver is 16 feet above the ground.
     
    nycmathguy, Aug 26, 2021
    #4
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