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Math Help - Mathmatic model

  1. #1
    Member
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    Mathmatic model

    Let the mathematic model be

     x = 0.5gt^2

    what are two different methods that can be used to find g, the acceleration due to gravity, from a straight line graph representation.

    I have 1

     x = 0.5gt^2
     ln(x) = ln(0.5gt^2)
     ln(x) = ln(0.5g) + ln(t^2)
     ln(x) = 2ln(t) +ln(0.5g)

    we can sub in points from 0-100 for ln and we know that ln is the inverse of the inital function so we can interchange the values and solve for g

    but i cant think of another method ):
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  2. #2
    Super Member flyingsquirrel's Avatar
    Joined
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    Hello,
    Quote Originally Posted by treetheta View Post
    Let the mathematic model be

     x = 0.5gt^2

    what are two different methods that can be used to find g, the acceleration due to gravity, from a straight line graph representation.
    One of the two methods may be to plot 2x against t^2.
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