Vectors

A boat heads 15 degrees west of north with a water speed of 3 m/s. Determine its velocity relative to the ground when there is a 2 m/s current from 40 degrees east of north.

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  1. same type of question as your previous one.
    Let's see you do some of the work, show me what you did.

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  2. Kim = Luke!!

    How silly to switch names. Pick one and keep it!

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  3. I drew and labeled a triangle with one side to be found (v). I used the ‘z’ pattern to find 55 degrees. Then:

    V^2= (2)^2+(3)^2-2(3)(2)cos 55
    = 2.5 m/s

    ^this is correct, I just don’t really know how to find the angle (the text book answer is N56W but I got N41W using sine law

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  4. you were so close.

    41.483° is indeed the angle within the triangle.
    However, if you add 15° to that answer you get the direction of the boat.
    N (41.483+15)° W or appr N 56 W.

    btw, the question was to find its velocity relative to the ground
    "relative to the ground" ? What does that even mean?

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