bn nas set his GPS to track his route. At the end of his hike, his GPS indicates that he walked 3.50 milesnorth, 1.00 miles at 45 degrees north of east, and 1.50 miles south. How far away is Bill from his startingposition? And in what direction is he? Provide the direction in number of degrees in reference to thecardinal directions (North of East, South of West, etc.).

Data given by GPS : d1→ = 3.50 miles (north)= 3.50j^ milesd2→= 1 miles (45 degree north of east)= 1…

Answered: Bili has set his GPS to track his…

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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bn nas set his GPS to track his route. At the end of his hike, his GPS indicates that he walked 3.50 miles
north, 1.00 miles at 45 degrees north of east, and 1.50 miles south. How far away is Bill from his starting
position? And in what direction is he? Provide the direction in number of degrees in reference to the
cardinal directions (North of East, South of West, etc.).

Expert Solution

Step 1

$Data given by GPS : \vec{d_{1}} = 3.50 m i l e s (n o r t h) = 3.50 \hat{j} m i l e s \vec{d_{2}} = 1 m i l e s (45 d e g r e e n o r t h o f e a s t) = 1 (\cos 45^{o} \hat{i} + \sin 45^{o} \hat{j}) = 0.707 \hat{i} + 0.707 \hat{j} m i l e s \vec{d_{3}} = 1.50 m i l e s (s o u t h) = - 1.50 \hat{j} m i l e s$

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