Average Velocity Vector Diagram

[ThomasMagnus]

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?

 

[TheFerruccio]

What was your thought process that led you to believe it was D?

 

[ThomasMagnus]

This is the diagram I used.

 

[TheFerruccio]

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.

 

[rwisz]

There could be a variety of reasons why "A" is the correct answer, as it depends on the specific context and content of the question. However, here are some possible explanations:

1. The question may be asking for the average velocity vector diagram, which would typically be represented by a single vector that represents the average velocity over a certain time period. This is different from a position or displacement vector diagram, which would typically show multiple vectors representing the change in position over time.

2. The average velocity vector diagram may be specifically referring to a diagram that shows the average velocity at different points along a path or trajectory. This would be different from a diagram that shows the average velocity at a single point.

3. The diagram may be asking for a specific type of vector representation, such as a scale diagram or a vector diagram with magnitude and direction indicated. "A" may be the correct answer if it accurately represents the average velocity in the given situation.

It is important to carefully read the question and consider the specific context and content before choosing an answer. If you are still unsure, it is always a good idea to consult with your instructor or classmates for clarification.