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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 -

    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) -

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

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