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Introductory Vector Equation Illustrated by a Moving River - Picture Included

  1. Oct 11, 2009 #1
    Introductory Vector Equation Illustrated by a Moving River -- Picture Included

    1. The problem statement, all variables and given/known data
    A swimmer wants to cross a river, from point A to point B, as shown in the figure. The distance (from A to C) is 100 , the distance (from C to B) is 75 , and the speed of the current in the river is 5 . Suppose that the swimmer's velocity relative to the water makes an angle of with the line from A to C, as indicated in the figure.
    5Agg2.jpg


    To swim directly from A to B, what speed , relative to the water, should the swimmer have?

    2. Relevant equations

    A to B2=1002+752

    A to B= 125 meters

    That's about all I really know how to do. For some reason I can't think of a way to go about solving this problem. Any ideas?
     
    Last edited: Oct 11, 2009
  2. jcsd
  3. Oct 11, 2009 #2

    ideasrule

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    Re: Introductory Vector Equation Illustrated by a Moving River -- Picture Included

    What's the question?
     
  4. Oct 11, 2009 #3
    Re: Introductory Vector Equation Illustrated by a Moving River -- Picture Included

    That's embarrassing, can't believe I left that out. The question is now included.
     
  5. Oct 11, 2009 #4
    Re: Introductory Vector Equation Illustrated by a Moving River -- Picture Included

    Hmm, I've looked through all the related threads, however, in all instances the problem is similar a solution is available but documentation showing how the solution is reached is unavailable. I'm much more interested in the necessary steps to solve this problem than the actual solution.
     
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