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March 29, 2017

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A baseball player hits a baseball into the outfield. The following equation models the ball's path. If not caught, when will the baseball land? Round to the nearest tenth second.

h = -16t^2 + 50t + 4

  • algebra - ,

    OK. The four questions you posted are all basically the same. Here's help on this one:

    The baseball will land when the height is zero.

    So, you need to solve

    -16t^2 + 50t + 4 = 0

    Unless you see an abvikus factoring, use the quadratic formula:

    for f(x) = ax^2 + bx + c,

    x = (-b ± √(b^2 - 4ac)]/2

    Here, a = -16
    b = 50
    c = 4

    t = (-50 ± √(50^2 - 4(-16)(4))]/-32
    = (-50 ± √(2500 + 256)]/-32
    = (-50 ± √2756]/-32
    = (-50 ± 52.5)]/-32

    t = -0.07 or 3.2

    Since time is positive, use t = 3.2 sec

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