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Math Help - Motion in different reference frame

  1. #1
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    Motion in different reference frame

    This is a practice problem for the midterm, any advice and help would be awesome~ thanks everyone~

    An airplane moves in a northwesterly direction a 125m/hr relative to the ground. due to the fact that there is a westerly wind (ie from west) of 50 m/hr relative to the ground. Determine how fast and in what direction the plane would have travelled if there were no wind.

    Is this a simple question about the velocity combination like the net force in a triangle?
    I am afraid that it should be more complicated for the midterm.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by zorop View Post
    This is a practice problem for the midterm, any advice and help would be awesome~ thanks everyone~

    An airplane moves in a northwesterly direction a 125m/hr relative to the ground. due to the fact that there is a westerly wind (ie from west) of 50 m/hr relative to the ground. Determine how fast and in what direction the plane would have travelled if there were no wind.

    Is this a simple question about the velocity combination like the net force in a triangle?
    I am afraid that it should be more complicated for the midterm.
    Yes it is a simple velocity sum question:

    \bold{x}+50(-1,0)=\frac{125}{\sqrt{2}}(-1,1)

    Solve for vector \bold{x} and then convert into speed and heading form.

    CB
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  3. #3
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    thanks, i get it~ x = ((-125sqrt(2)+100)/2), 125sqrt(2)/2)
    make x as a unit vector to find the speed and then get the angle as the direction~
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