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vector addition -velocities

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A plane is headed eastward at a speed of 156 m/s. A 20 m/s wind is blowing southward at the same time as the plane is flying. The velocity of the plane relative to the ground is:

Answer Choices:
157 m/s at an angle of 7.31 degrees south of east
157 m/s at an angle of 7.31 degrees east of south
155 m/s at an angle of 7.36 degrees south of east
155 m/s at an angle of 7.36 degrees east of south

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Solution Summary

By the principle of vector addition the particle moving in a plane is illustrated

Solution Preview

Please see the attached file.
The problem is an illustration of vector addition

Answer
The problem is an illustration of vector addition

Velocity of the plane vplane =156 m/s (it is a vector along east)
Velocity of the wind vwind = 20 ...

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