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Kinematics BVP

  1. May 17, 2012 #1
    The problem statement:

    A particle travels along the x-axis with uniformly accelerated motion. At times t and s its position is x and y, respectively. Show that its acceleration is a = 2(yt-xs)/ts(s-t).

    The attempt at a solution:

    I could be wrong, but it seems to me this problem is ill-posed. Couldn't one solution be a = 0? Couldn't another be that acceleration which gets the particle from rest at (x,t) to (y,s)?
     
  2. jcsd
  3. May 17, 2012 #2

    gneill

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    Staff: Mentor

    It does seem to be ill-posed; A particle can get from one point to another (from x to y) in a given time interval using any choice of initial speed and a suitable constant acceleration. Another data point of some kind would be required to make the problem determinate.
     
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