You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction south of west and then in a direction west of north. These are the components of the displacement along a different set of axes—one rotated 45.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 35P
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You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction south of west and then in a direction west of north. These are the components of the displacement along a different set of axes—one rotated 45.

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