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What is the distance covered here?

  1. Jun 13, 2010 #1
    1. The problem statement, all variables and given/known data
    A girl delivering newspapers covers her route by traveling 9.00 blocks west, 4.00 blocks north, and then 3.00 blocks east. (a) What is her resultant displacement? (b) What is the total distance she travels?


    2. Relevant equations
    (a) displacement (change in X) = Xfinal - Xinitial



    3. The attempt at a solution
    (a) displacement = 3 blocks - 9 blocks = -6 blocks
    (b) distance = 9 blocks + 4 blocks + 3 blocks = 16 blocks

    My displacement answer is wrong and I don't what other equation to use
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 13, 2010 #2
    Re: Displacement

    In this diagram, can you see what the displacement is; and how to calculate its value?

    displacement.png
     
  4. Oct 12, 2010 #3
    Re: Displacement

    Consider the diagram above. The moves 9blocks towards west, then 4 blocks towards north and another 3 blocks towards east. Now the displacement of the the girl is the shortest distance between the initial and final points which is represented by the dotted line in th diagram. Therefore the displacement of the girl is √52 >7.
     

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