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Posted by on Monday, September 13, 2010 at 9:43pm.

a man walks 10 meters in a direction of 20 degrees North of East, then 20 meters in a direction due west. What is his total displacement vector in component form

  • physics - , Monday, September 13, 2010 at 9:56pm

    break this problem down to horizontal (x) and vertical (y) components! it'll probably help if you drew the problem out!

    (10cos20) meters
    20 meters
    add the horizontal components together

    (10sin20) meters

    perform Pythagorean theorem-
    total displacement: sqrt[(horizontal)^2+(vertical)^2]

    remember displacement is a vector so it also has direction! to find direction: tan^-1(vertical/horizontal)

  • physics (correction) - , Tuesday, September 14, 2010 at 12:27am

    opps! I forgot to put a negative in front of -20 meters under the horizontal component.

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