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Physics Vectors Question

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data

    The navigator of an airplane plans a flight from one airport to another 1200 km away, in a direction 30 degrees east of north. The weather office informs him of a prevailing wind from the west, of 80 km/h. The pilot wants to maintain an air speed of 300 km/h.

    a) What heading should the navigator give to the pilot?

    b) How long will the flight take?

    c) How much time did the wind save?


    3. The attempt at a solution

    I drew the diagram out, but i didnt know how to solve it.
     
  2. jcsd
  3. Oct 20, 2009 #2

    Delphi51

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    There are two approaches. You can use law of sines and law of cosines to solve the triangle, or you can convert all your vectors to rectangular x and y components and work out the x and y parts separately.
     
  4. Oct 20, 2009 #3
    Untitled.png

    i was wondering if this diagram was correct?
     
  5. Oct 20, 2009 #4

    Delphi51

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    No, it should be like this:
    plane2.jpg
    The red airspeed plus the windspeed adds up to a vector going at the desired angle 30 degrees E of N (groundspeed).
     
  6. Oct 20, 2009 #5
    kk thank you, no wonder i kept getting the wrong answer
     
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