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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.

    Using:

    [tex]t=\frac{x}{v}[/tex]

    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.

    Ryan
     
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