Vector addition and motion diagram

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SUMMARY

The discussion focuses on vector addition and motion diagrams as presented in "Mastering Physics Knight, 2nd edition." The motion diagram features two dots representing positions, with vector \(\vec{V}_{1}\) pointing upward and measuring 15 mm in length. The task involves adding vector \(\vec{V}_{2}\) and a third dot based on the direction of the acceleration vector \(\vec{a}\) at dot 2, which can point either up or down. The solution indicates that the acceleration vector's direction influences the relationship between position and velocity in the motion diagram.

PREREQUISITES
  • Understanding of vector addition in physics
  • Familiarity with motion diagrams and their components
  • Knowledge of acceleration and its representation in diagrams
  • Basic concepts of average velocity and time intervals in motion
NEXT STEPS
  • Study vector addition principles in physics
  • Explore the concept of motion diagrams in detail
  • Learn about the relationship between acceleration, velocity, and position
  • Investigate how to interpret and create motion diagrams with multiple vectors
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Students of physics, educators teaching vector concepts, and anyone interested in understanding motion diagrams and their applications in analyzing motion.

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Mastering physics Knight. 2nd edition.
A figure shows two dots of a motion diagram and vector [itex]\vec{V}_{1}[/itex] Copy this figure and add vector [itex]\vec{V}_{2}[/itex] and dot 3 if the accelration vector [itex]\vec{a}[/itex] at dot 2 (a) points up and (b) points down.

[itex]\vec{V}_{1}[/itex] 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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