Average Velocity Vector Diagram

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Homework Help Overview

The discussion revolves around understanding the average velocity vector and the correct interpretation of vector diagrams in this context.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster expresses confusion about their answer choice and seeks clarification on the reasoning behind the correct answer. Participants inquire about the thought process that led to the initial conclusion and share diagrams used in their attempts.

Discussion Status

Participants are actively engaging in clarifying the vector subtraction process and discussing the correct application of vector directions. There is a focus on understanding the mistake in changing the direction of vectors.

Contextual Notes

There appears to be a misunderstanding regarding the proper method for vector subtraction, specifically in how to handle the signs of the vectors involved.

ThomasMagnus
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Homework Statement



Untitled-1.png



Homework Equations






The Attempt at a Solution


I thought it was "D". The correct answer is "A". Can you help me figure out why?
 
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What was your thought process that led you to believe it was D?
 
This is the diagram I used.

Untitled-2.png
 
ThomasMagnus said:
This is the diagram I used.

Untitled-2.png

Ah, I see. You changed the direction on the wrong vector. When subtracting vectors, you want to change the sign of the 2nd vector (the one being subtracted), not the resultant vector. Right now, assuming the velocity components are \vec{v_1}, \vec{v_2}, the final vector you drew was:

-(\vec{v_2} + \vec{v_1})

when you want:

\vec{v_2}-\vec{v_1}

I hope that helps!

(edit) messed up the subscripts, it should be correct now.
 

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