Curves on a Position time graph

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Homework Help Overview

The discussion revolves around interpreting curves on a position-time graph, specifically focusing on the implications of inward and outward curves in relation to velocity changes. Participants are examining the characteristics of two graphs labeled A and B, questioning their accuracy in representing motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the meaning of the curves in terms of velocity, with some questioning whether graph A represents increasing velocity and graph B represents decreasing velocity. Others are analyzing the correctness of the graphs based on the slopes and gradients described in the problem.

Discussion Status

The discussion is active, with participants sharing their interpretations and reasoning about the graphs. Some have offered insights into the potential inaccuracies of the graphs, while others have highlighted the lack of information regarding constant acceleration, suggesting that this could influence the interpretation of the curves.

Contextual Notes

There is an ongoing examination of the problem statement's assumptions, particularly regarding the nature of acceleration. Participants are also considering the implications of the descriptions provided for the segments of the graphs.

qwertyqwert321
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Homework Statement


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Homework Equations

The Attempt at a Solution


I knew the answer was between A and B, but the inward curves and outward curves on the position time graph confused me , what exactly does it mean?
-does A have an increasing velocity and then B has a decreasing velocity? I am really confused with the slopes
 
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qwertyqwert321 said:
does A have an increasing velocity and then B has a decreasing velocity?
Yes.

I don't think any of the graphs are correct. The one that is the closest is still wrong because the absolute value of the gradient of the segment that is described as 'slow constant speed' is greater than that for the segment described as 'running'. They should replace 'runs' by 'strolls' or even 'crawls'.

I think the correct answer would have the first two segments of A followed by the last two segments of B.
 
The answer is probably B. The problem statement doesn't state the acceleration is constant, so an initially higher amount of acceleration that reduces as the constant speed is approached would be allowed, so B's curve in position versus time during acceleration isn't an issue. (Consider the case of a sprinter taking off from blocks). This leaves the slower constant negative velocity followed by faster positive velocity to decide between A and B.
 
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rcgldr said:
The problem statement doesn't state the acceleration is constant
Great lateral thinking!
 

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