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Motion in the Plane

  1. Sep 8, 2014 #1
    1. The problem statement, all variables and given/known data

    r(t) is the position of a particle in the xy plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at the given value of t.

    r(t)=(cos2t)i+(3sin2t)j, t=0

    2. Relevant equations



    3. The attempt at a solution

    x=cos2t y=3sin2t
    x2=cos22t y2/9=sin22t

    I'm not sure if I'm on the right track with this! Can someone please give me a push in the right direction?
     
  2. jcsd
  3. Sep 8, 2014 #2

    LCKurtz

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    Looks good so far. What do you get if you add those last two equations? Do you recognize it?
     
  4. Sep 8, 2014 #3
    Ohhh thanks, figured it out! :)
     
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