A plane flies due east at 100m/s due to a horizontal cross wind, the plane’s actual speed relative to the ground is √3·100m/s in a direction 30◦ north of east. Find the speed and direction of the wind. Make sure to express any relative vectors (using either brackets or coordinate unit vectors) and to indicate your axes! Note: Your vectors should be expressed in terms of the axes you indicate.

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...
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A plane flies due east at 100m/s due to a horizontal cross wind, the plane’s actual speed relative to the ground is √3·100m/s in a direction 30◦ north of east. Find the speed and direction of the wind. Make sure to express any relative vectors (using either brackets or coordinate unit vectors) and to indicate your axes! Note: Your vectors should be expressed in terms of the axes you indicate.

 

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