Find Minimum Acceleration from Graph

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Discussion Overview

The discussion revolves around finding the minimum acceleration from a given graph, focusing on the interpretation of acceleration values over specific time intervals. The scope includes mathematical reasoning and conceptual clarification related to interpreting graph slopes.

Discussion Character

  • Mathematical reasoning, Conceptual clarification, Homework-related

Main Points Raised

  • One participant suggests that the minimum acceleration is found at the point where the slope of the graph is the smallest, indicating a value around 2 m/s² based on their calculations.
  • Another participant proposes that the minimum acceleration could be 0, as this is the slope at 4 seconds.
  • A later reply acknowledges the second participant's suggestion and reflects on the initial misunderstanding regarding the interpretation of "minimum acceleration" versus "minimum magnitude of acceleration."
  • There is a discussion about the distinction between negative acceleration and the minimum value of acceleration in a mathematical sense.

Areas of Agreement / Disagreement

Participants express differing interpretations of what "minimum acceleration" means, with some focusing on the lowest numerical value (including negative values) while others consider the minimum magnitude (non-negative). The discussion remains unresolved regarding the correct interpretation of the problem.

Contextual Notes

There is a lack of clarity on the definitions used for "minimum acceleration" and how to interpret the graph's slopes, which may affect the conclusions drawn by participants.

dumakey1212
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So this looks really easy, but I can't get the right answer. It asks you to find the minimum acceleration from the graph: http://s22.postimg.org/f5dutd5ap/pic.png. This is of course the point where the slope is the smallest, and this is from t = 3-4 s or t = 4-5 s, depending on whether you want to find the positive/negative acceleration. Either way it's about (57 m/s - 55 m/s)/1 s, 2 m/s2. It doesn't accept this answer or 1, 3, 4, 5 or the negatives of those. I'm not sure what's going on, this is pretty basic. There's no way the lowest acceleration is greater than 5, and it is most obviously based on the graph about 2 or 3.
 
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Did you try 0? That's the slope at 4 secs.
 
Yup! You're right, how foolish of me :D
 
I don't think it was foolish, after all they did say minimum acceleration which you interpreted as more negative it is the smaller it is (in a purely mathematical sense) vs the minimum magnitude of the acceleration (always a non-negative number).

Understanding where you went wrong will help you in many other problems ala "fool me once shame on you, fool me twice shame on me".
 

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