# 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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