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Math Help - Algebra Problem

  1. #1
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    Algebra Problem

    A model rocket is launched with an initial upward velocity of 235ft/s. The rocket's height h (in feet) after t seconds is given by the following.

    h = 235t -16t^2



    Find all values of t for which the rockets height is 151 feet. Round to the nearest hundredth.

    -----------

    When doing this problem I come up with this....


    h=151
    151=235t-16t^2
    16t^2-235t+151=0

    t = 1/32 seconds

    Is this correct?
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  2. #2
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    Re: Algebra Problem

    Quote Originally Posted by Exfactor View Post
    A model rocket is launched with an initial upward velocity of 235ft/s. The rocket's height h (in feet) after t seconds is given by the following.

    h = 235t -16t^2



    Find all values of t for which the rockets height is 151 feet. Round to the nearest hundredth.

    -----------

    When doing this problem I come up with this....


    h=151
    151=235t-16t^2
    16t^2-235t+151=0

    t = 1/32 seconds

    Is this correct?
    when I plug 1/32 into your formula for h above I get 7.33 feet, so no. Use your quadratic formula roots = \frac{b\pm \sqrt{b^2-4 a c}}{2 a}

    where in this case a=16, b=-235, c=151
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  3. #3
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    Re: Algebra Problem

    Quote Originally Posted by Exfactor View Post
    A model rocket is launched with an initial upward velocity of 235ft/s. The rocket's height h (in feet) after t seconds is given by the following.

    h = 235t -16t^2



    Find all values of t for which the rockets height is 151 feet. Round to the nearest hundredth.

    -----------

    When doing this problem I come up with this....


    h=151
    151=235t-16t^2
    16t^2-235t+151=0

    t = 1/32 seconds

    Is this correct?
    Couldn't you check it yourself? What is 235(1/32)- 16(1/32)^2?
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