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Posted by on Sunday, February 7, 2010 at 4:00pm.

An airplane is flying on a bearing of 80 degrees at 540mph. A wind is blowing with a bearing of 100 degrees at 55mph. Find the component form of the velocity of the airplane.

  • calculus - , Sunday, February 7, 2010 at 5:45pm

    Mathematicians do not do navigation unfortunately so I suspect they mean that the wind is heading 100 degrees rather than coming from there (the way we navigators express wind vectors)
    In that case add the plane velocity vector to the wind velocity vector:

    80 degrees at 540mph +100 degrees at 55mph.

    by the way 80 is ten north of east
    and
    100 is 10 south of east or 80 east of south

    East component (x) = 540 cos 10 + 55 cos 10

    North component (y) = 540 cos 80 - 55 cos 80

  • calculus - , Saturday, April 5, 2014 at 9:17am

    22

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