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Determine the total distance you've walked

  1. Oct 15, 2007 #1
    1. The problem statement, all variables and given/known data
    A city's streets are laid out with its north-south blocks twice as long as its east-west blocks. You walk 6 blocks east and 4 blocks north.

    Part A
    Determine the total distance you've walked. Express answers in units of east-west blocks.

    Part B

    Determine the magnitude of your displacement vector.

    2. Relevant equations

    I use trig, so no equations (at least not that i know of).

    3. The attempt at a solution

    You get a 3,4,5 triangle. Tried to get the components. Couldnt do more.
     
  2. jcsd
  3. Oct 15, 2007 #2

    Hootenanny

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    Indeed it does, so what do you think the 5 represents?
     
  4. Oct 15, 2007 #3
    that's the displacement vector for part b.
     
  5. Oct 15, 2007 #4

    Hootenanny

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    Correct.

    So, back to part A; if you walk 6 blocks east and 4 blocks north (bearing in mind 1 north block = 2 east blocks), how many blocks have you walked in total?
     
  6. Oct 15, 2007 #5
    1n=2e
    4n=8e

    8e+6e=14e
     
  7. Oct 15, 2007 #6

    Hootenanny

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    Correct! :approve:

    Now all you need to do is work out the direction for part B.
     
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