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Homework Help: Hiker displacement

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data
    In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s die west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an average velocity of .447 m/s due east. How far east did she walk?

    2. Relevant equations
    velocity formula number 2

    3. The attempt at a solution
    Trying to use multiple variables to solve but need a push in the right direction
  2. jcsd
  3. Sep 29, 2009 #2
    I'm not sure if this is correct, but the way I would do it is to compare the times taken for the first two parts of the journey with the time taken for the overall journey.



    gives the following equation which can easily be solved for x to find the distance due east.

    [tex]\frac{6440}{2.68} + \frac{x}{0.447} = \frac{6440-x}{1.34}[/tex]

    I hope that helps.

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