You fly 40.0 km in a straight line in still air a direction 25° south of west. (a) Find the distances you would have to fly straight south and then straight west in kilometers to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) km south ___km west (b) Find the distances in kilometers you would have to fly first in a direction 45° south of west and then in a direction 45° west of north. These are the components of the displacement along a different set of axes - one rotated 45°. km 45° south of west km 45° west of north

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You fly 40.0 km in a straight line in still air a direction 25° south of west.
(a)
Find the distances you would have to fly straight south and then straight west in kilometers to arrive at the same point. (This determination is
equivalent to finding the components of the displacement along the south and west directions.)
km south
___km west
(b)
Find the distances in kilometers you would have to fly first in a direction 45° south of west and then in a direction 45° west of north. These are
the components of the displacement along a different set of axes - one rotated 45°.
___km 45° south of west
___km 45° west of north
Transcribed Image Text:You fly 40.0 km in a straight line in still air a direction 25° south of west. (a) Find the distances you would have to fly straight south and then straight west in kilometers to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) km south ___km west (b) Find the distances in kilometers you would have to fly first in a direction 45° south of west and then in a direction 45° west of north. These are the components of the displacement along a different set of axes - one rotated 45°. ___km 45° south of west ___km 45° west of north
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