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Homework Help: Archived Relative Motion in Two Dimensions

  1. Feb 5, 2008 #1
    1. The problem statement, all variables and given/known data
    A light plane attains an airspeed of 500 km/h. The pilot sets out for a destination 800 km due north but discovers taht the plane must be headed 20.0 degree East of due North to fly there directly. The plane arrives in 2.00 h. what were the (a) magnitude and (b) direction of the wind velocity?

    2. Relevant equations
    Vwg = Vpg + Vpw

    3. The attempt at a solution
    I had used the law of cosines to find the magnitude of the Vwg which comes out to be 185 km/h, but the direction I calculated is wrong. Could someone pinpoint me in the right direction as far as how to draw the vectors for this relative motion in two dimension?

  2. jcsd
  3. May 25, 2017 #2
    Unfortunately, I also need help with this!
  4. May 25, 2017 #3


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    Staff: Mentor

    You'll need to show what you've tried.

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  5. May 25, 2017 #4


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    Science Advisor
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    Try drawing a vector showing where the plane would go (pointing where the pilot pointed) if there were no wind. Then draw another vector of the actual path. Then connect the ends of those two vectors with the wind vector.
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