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?
$v_{wo} = 6.68 \textrm{ m/s, } 53.3^\circ \textrm{ S of W}$
Solution Video