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Parabolic Motion

  1. Oct 26, 2007 #1
    I was wondering if it is possible to convert a projectile motion(velocity, direction, etc) into a (parabolic) equation.
    I am programming a motion planner to use in a simple 'game' that I am making.
    A formula would be appreciated.
    I was thinking something like http://img99.imageshack.us/img99/187/eq220d30dcno9.png [Broken]
    To get the x value I am using the range formula
    I am then using a similar formula to calculate the total time of flight.
    Then I am dividing the range by the total time of flight.

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    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Oct 28, 2007 #2
  4. Oct 29, 2007 #3


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    If the acceleration is constant,
    [tex]y(t) = \frac12 a t^2 + v(0) t + x(0) [/tex],
    otherwise you should take something like
    [tex]y(t) = \int v(t) dt = \iint a(t) dt dt[/tex]
    and do a numerical integration.
  5. Oct 30, 2007 #4
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