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he66666

  • 5 years ago

An airplane has a speed of 300km/h and is headed due west. A wind is blowing from the south at 50km/h. Determine the resultant velocity of the airplane. answer: 304.14km/h, W9.46N How do I draw the position diagram? I'm getting confused because of the wind direction..

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  1. amistre64
    • 5 years ago
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    add vectors?

  2. amistre64
    • 5 years ago
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    <-300,0> + <0,-50>

  3. amistre64
    • 5 years ago
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    t <-300,-50> = position vector; t = scalar factor for time

  4. amistre64
    • 5 years ago
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    from the south; lol

  5. amistre64
    • 5 years ago
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    <-300,50> then

  6. amistre64
    • 5 years ago
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    tan^-1(-5/30) gets direction; add

  7. he66666
    • 5 years ago
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    Yes, I know that I have to add the vectors but how would the position diagram look like? I would draw the plane going west, but would the wind approach the airplane from the tail or the head? :S

  8. amistre64
    • 5 years ago
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    from the left

  9. amistre64
    • 5 years ago
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    plane headed west; wind from the south; hits it on the left side right?

  10. he66666
    • 5 years ago
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    So the wind vector is below the plane? (if that makes sense lol)

  11. amistre64
    • 5 years ago
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    yes; but draw your plane by looking down on it; like from a satellite

  12. amistre64
    • 5 years ago
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    if your headed down the road and someone tries to cross the road; if they hit you on the side of your car correct?

  13. he66666
    • 5 years ago
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    Yes, that's right

  14. he66666
    • 5 years ago
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    But when I draw it, I don't know how to the resultant velocity would look like because the wind and plane vector aren't tail to tail..

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  15. amistre64
    • 5 years ago
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  16. amistre64
    • 5 years ago
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    add the wind to the nose of the plane to add them together

  17. amistre64
    • 5 years ago
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    vectors arent anchored by anthing; they move around and we actually pick an equal vector that is located at the nose of the plane to add them

  18. amistre64
    • 5 years ago
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    a vector is defined as magnitude and direction; there is nothing in the definition of a vector that states 'from a certain place'; is there?

  19. he66666
    • 5 years ago
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    Oh I see. I shouldn't limit myself to much lol. Well, thanks amistre, now I understand :)

  20. amistre64
    • 5 years ago
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    yw :)

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