Displacement as Function of Time Graph Question

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Homework Help Overview

The discussion revolves around analyzing a graph that depicts the vertical displacement of an object as a function of time. Participants are tasked with constructing corresponding graphs for velocity and acceleration, as well as describing a real-life scenario that reflects the motion represented in the displacement graph.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the construction of velocity and acceleration graphs based on the displacement graph. There are attempts to clarify the relationship between the slope of the displacement graph and the velocity, as well as the implications for acceleration. Some participants question the accuracy of their graphs and seek feedback on their interpretations.

Discussion Status

There is ongoing feedback regarding the accuracy of the constructed graphs. Some participants have provided suggestions for improvement and clarification on how to interpret the displacement graph. The conversation reflects a mix of attempts to refine understanding and explore different interpretations of the motion depicted.

Contextual Notes

Participants note the importance of labeling axes on graphs for clarity. There is also mention of potential confusion regarding the representation of constant velocity and the implications for the acceleration graph.

  • #61
No, that is not it.
 
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  • #62
Ok, well thanks for the help. The assignment is now due.
 
  • #63
It's this. That crunch cut it short didn't it.

2aijwi1.png
 
  • #64
Also perhaps this could be the scenario. The crunch represents its change from negative acceleration to positive for a brief moment then back to zero.

rvd1mt.png
 
  • #65
If the acceleration only lasted a short time, like you have drawn, then at the end of that short time the object would continue on with a steady speed until some acceleration did again act on it.
 
  • #66
IS IT THIS?? This I think represents it because it can't instantly go to zero velocity right?

suv79f.png
 
  • #67
I think this is accurately representing it, i remember you saying something about the vertical line to the right. Its this isn't it?

suv79f.png
 
  • #68
physicsnobrain said:
Also perhaps this could be the scenario. The crunch represents its change from negative acceleration to positive for a brief moment then back to zero.
You are getting the idea. A short sharp force acted to cause the object to lose all of its speed in a very brief moment. But it's not above the axis, that would cause it to rise up faster.
 
  • #69
NascentOxygen said:
You are getting the idea. A short sharp force acted to cause the object to lose all of its speed in a very brief moment. But it's not above the axis, that would cause it to rise up faster.

So I remove the vertical line like you said before?
suv79f.png
 
  • #70
This is the graph I refer to. You show the spike of acceleration in the right place, but it should not be above the line, it should be below. You need it to act so it slows the object rapidly to stop it. Like bumping your head on an overhead steel beam! <crunch!>

rvd1mt.png
 
  • #71
NascentOxygen said:
This is the graph I refer to. You show the spike of acceleration in the right place, but it should not be above the line, it should be below. You need it to act so it slows the object rapidly to stop it. Like bumping your head on an overhead steel beam! <crunch!>

rvd1mt.png


Ahhh, so its slow acting. SO like this:

rizrph.png
 
  • #72
physicsnobrain said:
Ahhh, so its slow acting. SO like this:
When you bump your head on an overhead beam, it doesn't feel like a gentle slow-acting stop to me!

Your graph is improving. Not far to go now ...
 
  • #73
Ahhh, it must be this then.

2qa4r5s.png
 
  • #74
physicsnobrain said:
Ahhh, it must be this then.

2qa4r5s.png
Not quite, but you are close. It's not as complicated as you show. But you have had enough help with this assignment that I think that should do for now. If you think about it more carefully, you might be able to get 100%. Post again if you come up with a better plot.

Remember that I said that vertical line on the extreme right is questionable, for the acceleration vs time plot, as I explained earlier. I would omit it.
 

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