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anonymous

  • 5 years ago

How do I solve these types of problems? 'A ferry heads west across a river. It travels 20 miles per hour in still water. The river flows south at 15 miles per hour. In which direction will the ferry actually travel. How fast will it travel?' I need someone to explain this, so that I can do the other problems like it.

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  1. amistre64
    • 5 years ago
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    its a vector related problem

  2. amistre64
    • 5 years ago
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  3. amistre64
    • 5 years ago
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    add the vector to get the red travel distance vector

  4. amistre64
    • 5 years ago
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    <20,0> is the westward vector ; and <0,-15> is the southward vector

  5. amistre64
    • 5 years ago
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    the new vector is simply: <20,0> <0,-15> -------- <20,-15>

  6. amistre64
    • 5 years ago
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    the direction traveled is the tan^-1 (y/x) + pi

  7. amistre64
    • 5 years ago
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    -15/20 = -3/4 tan^-1(-3/4) =abt 233.13 degrees if i did it right

  8. amistre64
    • 5 years ago
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    had to add 270 to it to get itin the proper qudrant

  9. amistre64
    • 5 years ago
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    and the distance traveled is just the pythag of the y and x components

  10. amistre64
    • 5 years ago
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    any of this make sense?

  11. anonymous
    • 5 years ago
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    No...I wish though.

  12. amistre64
    • 5 years ago
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    hmm.... a vector is just an arrow that points in any direction and indicates the distance traveled; they can be called directed line segments

  13. amistre64
    • 5 years ago
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    when we add them, they form a new arrow that measures a new direction and length

  14. amistre64
    • 5 years ago
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    you essentially have the ferry being thrown off course by the river; by 15 meters every sec right?

  15. amistre64
    • 5 years ago
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    well; 15 miles for every hour travled

  16. amistre64
    • 5 years ago
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    if we pythag the new direction; we get 20 west; and 15 south; those are the legs of a triangle and the distance actually covered in one hour is the hypotenuse of that triangle

  17. amistre64
    • 5 years ago
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    sqrt(20^2 + 15^2) = distance traveled in one hour

  18. amistre64
    • 5 years ago
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    in this case; its moved 25 miles in one hour...... or 25 mph

  19. amistre64
    • 5 years ago
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    the direction it moved is to the south and west...measured from some starting point; usually idicated as due est

  20. amistre64
    • 5 years ago
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    due east is the inital starting point of angle measures...

  21. amistre64
    • 5 years ago
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    any of this ringing bells yet :)

  22. anonymous
    • 5 years ago
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    I understand better now, thank you for helping me so much :)

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