Vector addition and motion diagram

AI Thread Summary
The discussion revolves around understanding a motion diagram from "Mastering Physics Knight, 2nd edition," which features two dots and a vertical vector \vec{V}_{1} pointing upward. Users are tasked with adding a second vector \vec{V}_{2} and a third dot based on the direction of the acceleration vector \vec{a} at the second dot. Clarification is sought on whether the dots represent positions and how acceleration relates to these positions, with the assumption that equal time intervals separate the dots. The original poster expresses uncertainty about the relationship between the vectors and average velocity, inviting more knowledgeable input on the topic. Understanding these concepts is crucial for accurately interpreting motion diagrams and vector addition.
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Mastering physics Knight. 2nd edition.
A figure shows two dots of a motion diagram and vector \vec{V}_{1} Copy this figure and add vector \vec{V}_{2} and dot 3 if the accelration vector \vec{a} at dot 2 (a) points up and (b) points down.

\vec{V}_{1} is a vertical vector pointing upward with two points, labelled 1 and 2. With 2 being the topmost point. The vector is 15 mm in length.

The answer in the back of the book shows:
a) Two vectors with a total of three points. They point up and a acceleration vector next to the second point which points down. The topmost vector is slightly shorter than the bottom one.
b) Shows the same thing.

I don't understand what's being asked or what there doing here.
 
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Are the dots supposed to represent position? I would guess that's the case for a motion diagram. It's been a while so I'm not 100% sure, though.But if that's the case, what can you say about the acceleration based off of what the position is at each dot (I also think with a motion diagram, each dot is separated by an equal amount of time, e.g. 1 dot every 1 second or something - again I'm not 100% sure, though. But that's needed in order to say something about velocity - which I'd assume is the vectors - well, average velocity)

Hopefully someone else can chime in that is more confident.
 
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