A girl delivering newspapers covers her route by traveling 10.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? blocks (b) What is the total distance she travels? blocks
A girl delivering newspapers covers her route by traveling 10.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? blocks (b) What is the total distance she travels? blocks
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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Question
A girl delivering newspapers covers her route by traveling 10.00 blocks west, 4.00 blocks north, and then 4.00 blocks east.
(a) What is her resultant displacement?
blocks
(b) What is the total distance she travels?
blocks
blocks
(b) What is the total distance she travels?
blocks
Expert Solution
Step 1
Given data
*The displacement of block A due west is, A = -10 i
*The displacement of block B due north is, B = 4j
*The displacement of block A due east is, C = 4i
Step 2
(a)
The expression for the resultant displacement vector is given as,
Substitute values in the above expression as,
The expression for the magnitude of the resultant displacement is given as,
*Here Rx is x-component of the resultant displacement
*Here Ry is y-component of the resultant displacement
Substitute values in the above expression as,
Thus the magnitude of the resultant displacement is, √52 blocks
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