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 2.7 m/s in a direction 29° east of north relative to the Earth. It encounters a wind that has a velocity of 4.3 m/s in a direction of 46° south of west relative to the Earth. A) What is the magnitude of the velocity of the wind relative to the water, in meters per second? B) What is the angle of the velocity of the wind relative to the water degrees south of west?
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 2.7 m/s in a direction 29° east of north relative to the Earth. It encounters a wind that has a velocity of 4.3 m/s in a direction of 46° south of west relative to the Earth. A) What is the magnitude of the velocity of the wind relative to the water, in meters per second? B) What is the angle of the velocity of the wind relative to the water degrees south of west?
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Transcribed Image Text: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 2.7
m/s in a direction 29° east of
north relative to the Earth. It
encounters a wind that has a
velocity of 4.3 m/s in a direction of
46° south of west relative to the
Earth.
A) What is the magnitude of the
velocity of the wind relative to the
water, in meters per second?
B) What is the angle of the
velocity of the wind relative to the
water degrees south of west?
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