Vertical lines on postion vs. time graphs.

AI Thread Summary
Vertical lines on position vs. time graphs indicate an undefined velocity, suggesting a particle could theoretically jump between positions instantaneously, which contradicts principles of special relativity that limit speed to the speed of light. The discussion raises the question of whether such a graph could exist in reality, especially in the context of subatomic particle behavior. Additionally, there is confusion regarding acceleration when an object slows down in the negative x direction, with the assumption that this would result in positive acceleration. However, the relationship between change in velocity and time complicates this understanding, highlighting the nuances of interpreting acceleration in different contexts. Overall, the conversation emphasizes the complexities of motion and the implications of graph interpretations in physics.
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I understand how position vs. time diagrams can give velocity. If the line is flat then the velocity is zero (the particle is still), and all the other basic things I need to know, but what if the line was vertical? The slope would be undefined; therefore, velocity would be undefined. In other words, could a particle jump from one position to another in no time? Perhaps the speed changes too sharply for the units on the graph?
 
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That can't be possible in special relativity which says the speed cannot exceed speed of light c, irrelevant to the unit of graph
 
no graph as such exist (until you see it 100 years later in some inter nuclear motion of those subatomic particles:TO BE DISCOVERED)
 
Thanks guys. One more thing I'm kind of confused about. If an object is slowing down in the negative x direction, then I would assume the acceleration would be positive, correct? I assume this because an object slowing down in the positive direction would have a negative acceleration.
 
Then again, If deltaV/deltaT = a, then the answer would be just the opposite.
 
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So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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