Analyzing Space-Time Trajectories: Rectilinear & Positive Velocity

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Discussion Overview

The discussion revolves around understanding the characteristics of space-time trajectories, specifically focusing on whether a trajectory can be classified as rectilinear and if the velocity of a particle can be determined to be always positive based on a given graphic representation.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant questions how to determine if a trajectory is rectilinear and if the velocity is always positive based on a graphic of space versus time.
  • Another participant suggests that if "space" refers to displacement in a specific direction, then a decrease in displacement at certain times may provide insights into the velocity, but emphasizes that insufficient information is provided to conclude whether the trajectory is rectilinear.
  • A participant expresses uncertainty about the terminology used, indicating that language barriers may affect their understanding.
  • A link to an external resource is provided for further exploration of the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the terminology used or the ability to deduce characteristics of the trajectory from the graphic, indicating that multiple views remain on the interpretation of the information presented.

Contextual Notes

The discussion highlights potential limitations in the information provided by the graphic, including the lack of clarity on definitions and the insufficient data to make definitive conclusions about the trajectory's characteristics.

fabrc
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There's this graphic of space (s) versus time (t) of a particle.
How would I know if the trajectory is always rectilinear and if the velocity is always positive?

image048.jpg


Observation: none of these "sentences" are true in this graphic. But I want to know how would I know these things if they were true.
 
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If "space" means "displacement from some point in a particular direction", then the fact that this displacement decreases at certain times should tell you something about the velocity in that direction.

You cannot deduce whether the trajectory is rectilinear from this, because you are simply not given enough information.
 
Thanks, voko!

Sorry. So the term "space" is wrong? English isn't my natural language, and here in my country there's any good forums of physics.
 

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