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Question
The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.20 m/s in a direction $30.0^\circ$ east of north relative to the Earth. It encounters a wind that has a velocity of 4.50 m/s in a direction of $50.0^\circ$ south of west relative to the Earth. What is the velocity of the wind relative to the water?
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Final Answer
$v_{wo} = 6.68 \textrm{ m/s, } 53.3^\circ \textrm{ S of W}$
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OpenStax College Physics Solution, Chapter 3, Problem 62 (Problems & Exercises) (5:38)

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