I start walking. The 1st leg of my trip I walk dA = 130 m at θA = 19° south of east. The 2nd leg of my trip I walk dB = 55 m at θB = 13° north of east. On my final leg I walk dC = 95 m at θC = 69.5° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. a) Write an expression for the x-component of the final displacement in terms of the given quantities. b)Write an expression for the y-component of the final displacement in terms of the given quantities. c) What is the magnitude of my displacement vector (in meters) as measured from the origin? d)  What is the angle of my displacement vector as measured counterclockwise from the +x-axis?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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I start walking. The 1st leg of my trip I walk dA = 130 m at θA = 19° south of east. The 2nd leg of my trip I walk dB = 55 m at θB = 13° north of east. On my final leg I walk dC = 95 m at θC = 69.5° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north.

a) Write an expression for the x-component of the final displacement in terms of the given quantities.

b)Write an expression for the y-component of the final displacement in terms of the given quantities.

c) What is the magnitude of my displacement vector (in meters) as measured from the origin?

d)  What is the angle of my displacement vector as measured counterclockwise from the +x-axis?

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