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Finding the optimal path across two point with varying speed

  1. Nov 10, 2011 #1
    1. The problem statement, all variables and given/known data
    [PLAIN]http://img214.imageshack.us/img214/194/calcdr.jpg [Broken]
    I need to find the optimal path across two points, in two straight line segments. The speed from point A to B is 12ft/s, and 4ft/s from point B to C.


    2. Relevant equations



    3. The attempt at a solution
    I set segment AB as x, BC as y, ED as w, and DC as z. With that, I set up the equations:

    x/12 + y/4 = P
    and
    w + z = 100

    However, I am stumped at how to progress from here on. I tried playing around with the trigonometric functions in the triangle, but that seemed to complicate the problem even more. Does anyone has any insight into this?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Nov 12, 2011 #2
    I'm still having trouble on figuring out what to do next >.<
     
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