Net Displacement: Find Mag w/ Graphical Method

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Homework Help Overview

The problem involves determining the net displacement of a jogger who runs a series of distances in different directions. The jogger runs 10.0 blocks east, 5.0 blocks south, and then 2.0 blocks east, with the task being to find the magnitude of the net displacement using a graphical method.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the total distance traveled east and south, with one participant attempting to clarify how to visualize the jogger's path and the resulting displacement. There is a mention of using the Pythagorean theorem to find the length of the straight line from start to finish.

Discussion Status

The discussion has progressed with participants engaging in exploratory dialogue about the jogger's movements and the graphical representation of the problem. Some guidance has been provided regarding the use of the Pythagorean theorem, indicating a productive direction in the conversation.

Contextual Notes

There is an indication of confusion regarding the calculations and the graphical method, as well as a reference to the expected answer of 13 blocks, which may imply constraints on the approach to be taken.

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Homework Statement



A jogger runs 10.0 blocks due east, 5.0 blocks due south, and another 2.0 blocks due east. Assume all blocks are of equal size. Use the graphical method to find the magnitude of the jogger's net displacement?


Homework Equations



well a sketch, but I've tried it and I don't really get it.


The Attempt at a Solution



so I kind of think what I'm doing but not really... ok the jogger started at 10 E. and then he went 5 N. and then went to 2 E, do you subtract the 10 and the 2, both that are east? and then add the 5... ugh, I don't know how to work this out. I know that its how much it went from where he started from, but not really sure how to find the answer. The answer is 13 blocks, but how do I get to that? Thanks.
 
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how far does he go east in total and how far south?
 
12 east and 5 south
 
okay, if you draw that, and then draw a straight line from the start to finish, do you see any way to figure out how long the line is?
 
oh my gosh, got it! thanks! pythagorean theorem, right?
 
yeah, good job!
 
thanks. =)
 

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