- #1
ThomasMagnus
- 138
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Homework Statement
Homework Equations
The Attempt at a Solution
I thought it was "D". The correct answer is "A". Can you help me figure out why?
Average Velocity Vector Diagram
- Thread starter ThomasMagnus
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SUMMARY
The discussion centers on resolving a misunderstanding regarding vector subtraction in the context of average velocity vector diagrams. The user initially believed the answer was "D" but was corrected to "A" after clarifying the proper method for vector subtraction. The correct approach involves changing the sign of the second vector being subtracted, leading to the expression \vec{v_2} - \vec{v_1} instead of -(\vec{v_2} + \vec{v_1}). This highlights the importance of accurately applying vector operations in physics problems.
- Understanding of vector operations, specifically vector subtraction
- Familiarity with average velocity concepts in physics
- Knowledge of vector notation and components
- Basic skills in interpreting and drawing vector diagrams
- Study vector subtraction techniques in physics
- Learn about average velocity and its calculation methods
- Explore vector diagram construction and interpretation
- Review common mistakes in vector operations and how to avoid them
Students studying physics, particularly those focusing on kinematics and vector analysis, as well as educators looking for clarification on teaching vector operations.
I thought it was "D". The correct answer is "A". Can you help me figure out why?
- #2
TheFerruccio
- 216
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What was your thought process that led you to believe it was D?
- #3
ThomasMagnus
- 138
- 0
This is the diagram I used.
- #4
TheFerruccio
- 216
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ThomasMagnus said:This is the diagram I used.
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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