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 2.9 m /s in a direction 34\deg east of north relative to the Earth. It encounters a wind that has a velocity of 4.8 m/s in a direction of 55\deg. south of west relative to the Earth. Part (a) What is the magnitude of the velocity of the wind relative to the water, in meters per second? Part (b) What is the angle of the velocity of the wind relative to the water degrees south of west?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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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 2.9 m
/s in a direction 34\deg east of north relative
to the Earth. It encounters a wind that has a
velocity of 4.8 m/s in a direction of 55\deg.
south of west relative to the Earth.
Part (a) What is the magnitude of the
velocity of the wind relative to the water, in
meters per second?
Part (b) What is the angle of the velocity of
the wind relative to the water degrees south
of west?
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 2.9 m /s in a direction 34\deg east of north relative to the Earth. It encounters a wind that has a velocity of 4.8 m/s in a direction of 55\deg. south of west relative to the Earth. Part (a) What is the magnitude of the velocity of the wind relative to the water, in meters per second? Part (b) What is the angle of the velocity of the wind relative to the water degrees south of west?
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