Solving Flux Graphs - Need Help!

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SUMMARY

The discussion focuses on solving flux graphs, specifically the representation of flux changes between two points, a and b. The user initially attempted to model the flux increase and decrease linearly but questioned whether a trigonometric model would be more appropriate. A key insight provided is that the rate of flux is equivalent to the slope of the flux graph, suggesting that the user should graph the slope from the first figure onto the second figure for clarity and accuracy.

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  • Understanding of flux concepts in physics
  • Familiarity with graphing techniques
  • Knowledge of linear and trigonometric functions
  • Basic calculus principles related to slopes and rates of change
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  • Research how to graph flux changes accurately
  • Learn about the relationship between slopes and rates of change in calculus
  • Explore trigonometric modeling techniques for physical phenomena
  • Study examples of flux graphs in physics to reinforce understanding
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Students studying physics, particularly those focusing on fluid dynamics and graphing techniques, as well as educators seeking to clarify concepts related to flux and its graphical representation.

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Homework Statement


The second picture contains the problem statement.
I am having a bit of trouble drawing the graphs asked for.

Homework Equations


See below


The Attempt at a Solution


I have drawn what I think is correct. In the first graph, I show the flux of the cart must increase from a to a/2 and go down to zero at point b. I have then used the same idea from b to a, but I am unsure if this is correct. I have modeled the rate of change in the second graph linearly, but I would like to know if it should be a trigonometric model.

Any help would be appreciated.
 

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Your rate drawing is incorrect.

The rate of flux is just the slope of the flux. So graph the slope of the top figure onto the bottom figure.
 

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