by Allirenae on May 2nd, 2010

Allirenae

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A ball is thrown vertically upward from roof of a bulding thats 194 feet high w/the speed of 64 mph. Find answer by h=-16t^2+64t+192.Factor?

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  • by douglasmkilmer on May 3rd, 2010

    douglasmkilmer

    If you want to find t when h equals zero, then your equation becomes:

    -16t² + 64t + 192 = 0

    Divide by both sides by -16 and your equation becomes:

    t² - 4t - 12 = 0

    This will factor into the form:

    (t - a)(t + b) = 0

    You must now find "a" and "b" such that ab = -12 and b - a = -4.

    I bet that you can do it.

    Remember that the only valid value for "t" is going to be the (t - a) factor. You must discard the (t + b) factor, because negative time makes no sense.

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  • by engineer is Terminator on May 2nd, 2010

    engineer is Terminator

    First of all, the question doesn't say what you need to find.

    If it asks you to find the time, then you could equate height with the time variable equation you have given and find out the t by solving the quadratic equation.

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