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Math Help - Word Problem Gravity Support

  1. #1
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    Word Problem Gravity Support

    Any help figuring this out?

    How high will a football that is thrown up into the air at 48 feet per second go if it starts its flight at a height 6 feet above the ground?
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  2. #2
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    Quote Originally Posted by brad View Post
    Any help figuring this out?

    How high will a football that is thrown up into the air at 48 feet per second go if it starts its flight at a height 6 feet above the ground?
    I assume, given the lack of any other information, that the football is thrown straight up into the air.

    So the equation for the height of the football is:
    y(t) = y_0 + v_0t + \frac{1}{2}at^2

    Calling the ground the origin and upward positive we get
    y(t) = 6 + 48t - \frac{1}{2}32t^2

    y(t) = 6 + 48t - 16t^2

    Now find the maximum height.

    -Dan
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