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Pythagorean theorem makes it go brr.

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This is my physical model

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I tried

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physical model

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My physical model.

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My physical model... 😬

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Is there a constant variable?
Is there a specific formula or combination of formulas?
How does the rate that the bottom of the ladder differ from the rate the top is moving? What is the relationship?

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Solving this graphically?
It seems similar to a physics problem?
Did I do it right?

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-How does the weight of the ladder effect the rate that the latter moves from the wall?

-To solve this problem would this require the use of any specific functions from Pre Calc?

-Does the ladder move at the same rate horizontally and verticaly?

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- How do right triangles and angles play into the ladder problem?

-How could you use a physical or drawn model to begin to solve the problem?

- Could I use a graph or chart with input and output to solve this problem?

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-Do related rate problems have a specific question we need to follow?
-How would we graph this on Geogebra?
-Does the ladder fall out at the same rate vertically as it does horizontally?

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What is the purpose of this problem?
Am I able to apply the same 1 foot/ sec as the 7ft ladder moving down to the 5ft ladder
Is the pythagorean theorem a good way to solve this problem?

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-Does the wording of the problem imply that the rate is not constant?
-If the rate isn't constant doesn't that mean the ladder is curved?

-Does the rate stay the same between up/down and side to side movement.

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Will the rate of the ladder's decent change over the course of the fall?

Assuming the decent rate changes, how would that factor into the equation?

How many variables are we taking into account? (drag, gravity, wind, friction)

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1. I am realizing that I wasn't told how far from the wall the ladder starts. Is it important to know this info to determine the eventual rate of change after 5 feet?
2.How does gravitational pull affect the rate of change after five feet in relation to the weight of the ladder?
3.Is the rate of change exponential after 5ft??
4. Does the unknown weight control how fast the rate increases?

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Sorry I forgot to add my model earlier, I forgot 

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Sorry I forgot to add my model earlier, I forgot 

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Units are MM