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Math Help - Help on roller coaster sine function

  1. #1
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    Help on roller coaster sine function

    Hi there I need help on this question.

    A roller coaster takes 32 seconds to completes a circle that has a radius of 14m and is 2m off the ground. You ride in this coaster for 40 secs (5/4 times).

    Find the values of a,b,c and k
    y=a+bsin2pi/k(t-c)
    t= time (in secs)

    I tried doing it theoretically but it didn't come out right when I punched it in the graphing calculator.
    Last edited by CaptainBlack; January 20th 2011 at 06:31 PM.
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  2. #2
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    Quote Originally Posted by monkbear View Post
    A roller coaster takes 32 seconds to completes a circle that has a radius of 14m and is 2m off the ground. You ride in this coaster for 40 secs (5/4 times).

    Find the values of a,b,c and k
    y=a+bsin2pi/k(t-c)
    t= time (in secs)
    assuming that that the cosater car starts at the bottom of the circle and that y represents the height above the ground ...

    \displaystyle y = 16 - 14\cos\left(\frac{\pi t}{16}\right)
    Attached Thumbnails Attached Thumbnails Help on roller coaster sine function-rollercoasterprob.jpg  
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  3. #3
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    Thanks skeeter but I need the equation in sin however.
    But just a quick question would this be equation be equal to yours?
    16-14sin(2pi/32)(t-(-90) = y
    Last edited by CaptainBlack; January 20th 2011 at 06:33 PM.
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  4. #4
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    Quote Originally Posted by monkbear View Post
    Thanks skeeter but I need the equation in sin however.
    But just a quick question would this be equation be equal to yours?
    16-14sin(2pi/32)(t-(-90) = y
    graph them both and see for yourself. also, don't mix radians and degrees.
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