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Kinematics Vectors and cartesian coordinates. Plane with wind blowing.

  1. May 22, 2012 #1
    1. The problem statement, all variables and given/known data

    An airplane flies at an air speed of 300 miles per hour, in the direction toward southwest. There is a head wind of 75 mi/hr in the direction toward due east.
    (A) Determine the ground speed.

    (B) Determine the direction of motion of the plane, expressed as an angle counterclockwise from due east.


    2. Relevant equations

    Va=airspeed
    w=wind speed
    V=velocity relative to ground

    V=(w-Va/sqrt2)i+(-Va/sqrt2)j

    *i & j are constants

    direction θ = 180 + arctan|Vy/Vx|



    3. The attempt at a solution

    Totally stumped any help would be greatly appreciated!
     
  2. jcsd
  3. May 22, 2012 #2
    Decompose vector 1 into x & y components, add vector 2, recompose into final vector.
     
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