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Vector clock and vector dog displacement problems

  1. Sep 14, 2009 #1
    1. The problem statement, all variables and given/known data
    The minute hand on a watch is 2.00 cm in length. What is the length (in cm) of the i hat component of the displacement vector of the tip of the minute hand from 8:00 AM to 8:20 AM? What is the length (in cm) of the j hat component of the displacement vector of the tip of the minute hand from 8:00 AM to 8:20 AM?

    2. Relevant equations

    A^2 + B^2 = C^2

    3. The attempt at a solution

    I'm having trouble trying to find a geometric way of viewing the problem.
    /\
    l This is how I'm viewing 8:00 to 8:20 AM with only the minute hand.
    l 2 cm
    l
    \
    \ 2 cm
    \
    >

    What I'm trying to figure out in the problem is what are the x and y components. My attempt is this:

    x component
    /\----
    l l
    l l
    l l y component
    \ l
    \ l
    \ l
    >

    I know from the tip of the minute hand at 8:00 AM to 8:20 AM is 2.8 cm, (2^2 + 2^2 = C^2, C = 2.8 cm)

    1. The problem statement, all variables and given/known data
    Jill's dog Sparky runs 70.0 m northeast to a tree, then 30.0 m west to a second tree, and finally 90.0 south to a third tree. Draw a picture and establish a coordinate system. Calculate the x component (in m) of Sparky's net displacement.
    Calculate the y component (in m) of Sparky's net displacement.
    Calculate the magnitude (in m) of Sparky's net displacement


    2. Relevant equations

    A^2 + B^2 = C^2


    3. The attempt at a solution

    For this problem, I'm again having trouble setting up values to put into an equation and viewing what in a picture is the x and y components. Here is a picture of how I'm attempting to view the problem with a coordinate system.

    /\
    l 30 m
    -- l--------/
    l l /
    l 76.2 m l /
    l l / 70.0 m
    90 m l l /
    l l /
    <-------------------- l -------------------->
    l l
    l l
    l l
    l l
    -- l
    l
    l
    l
    \/

    Much thanks,
    Daniel
     
  2. jcsd
  3. Sep 14, 2009 #2
    Actually I'm clueless on putting the drawings I had for the problems into html so disregard the attempted pictures.
     
    Last edited: Sep 14, 2009
  4. Sep 14, 2009 #3

    Redbelly98

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    I can't make out your figure. But, how about using the angle made by the minute hand, and some trig, in order to get the x and y components of the hand's tip at the times listed (8:00 and 8:20)?
     
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