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Math Help - Roller coaster

  1. #1
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    Roller coaster

    find the value of a.




    we know the height of the first curve and we know the second curve is at (40,0), we also know their equations. at what point do they meet, so it would form a roller coaster??

    the first step is to make the equations equal to each other. AND THE REST I HAVE NO IDEA....
    Last edited by CaptainBlack; July 9th 2007 at 10:07 AM. Reason: to link in the image properly
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by hossein View Post
    find the value of a.

    [IMG]file:///C:/DOCUME%7E1/Sahar/LOCALS%7E1/Temp/moz-screenshot-2.jpg[/IMG]http://img123.imageshack.us/img123/9483/95q8tmpbr8.jpg
    here is a link which shows the GRAPH and the quations
    we know the height of the first curve and we know the second curve is at (40,0), we also know their equations. at what point do they meet, so it would form a roller coaster??

    the first step is to make the equations equal to each other. AND THE REST I HAVE NO IDEA....
    as you can see, the images don't work. make them as attachments if you're having trouble putting them in the body
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  3. #3
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    does it work NOW?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by hossein View Post
    find the value of a.




    we know the height of the first curve and we know the second curve is at (40,0), we also know their equations. at what point do they meet, so it would form a roller coaster??

    the first step is to make the equations equal to each other. AND THE REST I HAVE NO IDEA....
    At the point where they meet you have:

    <br />
100-\frac{x^2}{4}=a(x-40)^2<br />

    Rearrange this into a common or garden quadratic, and solve for x in terms of a.

    Then you also want the slopes at the point of intersection to be equal, how
    you do this depend on what you know.

    RonL
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