Analyzing Space-Time Trajectories: Rectilinear & Positive Velocity

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To determine if a trajectory is rectilinear and if velocity is always positive, one must analyze the relationship between displacement and time in the provided graphic. A decrease in displacement at certain times indicates a change in velocity, but this alone does not confirm a rectilinear trajectory. The terminology used, particularly "space," may lead to confusion, as precise definitions are crucial in physics. The graphic lacks sufficient information to definitively conclude the nature of the trajectory or the velocity. Understanding these concepts requires careful consideration of the definitions and relationships involved in motion.
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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