Answered: You start at the origin on an ay plane.…

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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5.You start at the origin on an ay plane. You walk 20 meters at an angle of 25 degrees north of the +x axis. After that, you turn, then walk 20 metors at an angle 45 degrees north of the +x axis. Finally, you turn and walk 10 meters at an angle 15 degrees south of the +x axis. Your friend, still at the origin, walks in a straight line to you in the fastest route. What angle do thoy take, and how many moters do they go?

Expert Solution

Step 1

Write the displacement of the first path in vector form.

$\begin{array}{l} {\vec{x}}_{1} = (20 m) \cos 25 ° \hat{i} + (20 m) \sin 25 ° \hat{j} \\ {\vec{x}}_{1} = (18.126 m) \hat{i} + (8.45 m) \hat{j} \end{array}$

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