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pathosdebater Group Title

Please help... A plane heads west (180.0 degrees) at a speed of 400.0 mph. The wind's velocity is southeast (315.0 degrees) at 30. mph. What is Ax, the magnitude of the original vector of the plane?

  • one year ago
  • one year ago

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  1. ivanmlerner Group Title
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    What do you mean by Ax, I didn't get it

    • one year ago
  2. pathosdebater Group Title
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    Ax is the magnitude of the original vector of the plane.

    • one year ago
  3. ivanmlerner Group Title
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    Yes, I read it, but what does this vector mean?

    • one year ago
  4. pathosdebater Group Title
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    Well I'm guessing that the equation forms a triangle. One side is west (180.0 degrees) at a speed of 400.0 mph and another is southeast (315.0 degrees) at 30. mph. I think Ax is the final vector of the triangle.

    • one year ago
  5. pathosdebater Group Title
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    It is asking for the length of the unknown side

    • one year ago
  6. ivanmlerner Group Title
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    |dw:1351909145239:dw|Using vectors, we see that the velocity vector has value 400 in the direction of x, and the wind velocity vector has value -cos(45°)*30 in the direction of x. The y component of the wind velocity vector is sin(45°)*30 Now, we have that the vector you want is: (400, 0)-(-cos(45°)*30, sin(45°)*30)=(400+sqrt(2)*15, sqrt(2)*15) and the magnitude of the vector is: sqrt((400+sqrt(2)*15)^2+2*15^2)

    • one year ago
  7. hubertH Group Title
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    |dw:1351980839247:dw| use cosine rule to get the unknown side

    • one year ago
  8. hubertH Group Title
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    the answer shoul be 379,38mph

    • one year ago
  9. radar Group Title
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    Don't forget when using direction headings, North is 0 degrees amd South is 180 degrees, and west is 270 degrees (not 180 degrees)

    • one year ago
  10. radar Group Title
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    Please help... A plane heads west (270.0 degrees) at a speed of 400.0 mph. The wind's velocity is southeast (135.0 degrees) at 30. mph. Would be describing the situation and the wind direction is in the direction that it is going. Not coming from as is the normal reporting of wind.

    • one year ago
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