How to find displacement in vector diagram?

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SUMMARY

The discussion centers on calculating displacement using vector diagrams, specifically in the context of a problem involving Mr. Hinsley's movements. The total distance traveled is confirmed as 1096 meters. The key to finding displacement lies in combining the north-south and east-west components of the journey, resulting in a net position of 176.5 meters north and 256 meters east. To determine the total displacement, users should apply the Pythagorean theorem to the resultant vector formed by these components.

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  • Understanding of vector addition
  • Familiarity with the Pythagorean theorem
  • Basic knowledge of coordinate systems
  • Ability to create and interpret vector diagrams
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  • Practice using the Pythagorean theorem in various contexts
  • Explore graphical methods for vector representation
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators seeking to enhance their teaching methods in vector-related topics.

karis scherer
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how to find displacement in vector diagram?

My homework question states :
"Mr. Hinsley walks north 252 m, east 512 m, south 35.5 m and finally west 256 m. What is the total distance traveled? What is his displacement?"

I got that the total distance = 1096 m
However i am having trouble finding the displacement. i made a vector diagram but don't quite know how to use it to find the displacement.




! combined north and south. i also combined east and west. i came to the conclusion that he ended up at 176.5 m north and 256 m east. i just don't know what to do from here.

 
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Each leg of the journey is a displacement. Displacement, as you've realized, is a vector.
The sum of all the displacement vectors is the total displacement.
Do you know how to add vectors?
 
Draw a line from the origin to your point. You should now see a right triangle. Use the pythagorean theorem.
 

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