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The Flying Hat, Parametrically��Ryan Pietropaolo�NCSSM 2025

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Discussion – Parametric Equations

-When do we teach it?

-What do we do with it?

-Do students like it?

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The Flying Hat!

During the winter of 2025 a snowstorm hit North Carolina. My neighbor went outside during the storm.  Just as he stepped out the door a gust of wind blew his hat from his head.  The hat flew over my 4-foot fence that was 25 feet away.  Determine how far the hat traveled and how long it was in the air.  

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Additional Information

-The man is 6 feet 3 inches tall. 

- 40 mile per hour wind gusts were reported.

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Let’s plot it!

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We have a problem…

 

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Air Resistance

We will drop a hat and collect data with a motion detector…

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Quadratic Regression�We need the lead coefficient.

 

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It clears the fence!

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��Mars Rover� Spirit

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The questions…

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Modeling the motion of the Rover.

 

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Need to adjust the initial position.

 

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b) Distance to Sleepy Hollow

 

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Minimizing Distance by using Perpendicular Lines.

 

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c) Change Direction to hit Sleepy Hollow

 

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Interchange Horizontal/Vertical Speeds.

 

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Bulls eye!

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How do you introduce Parametric Equations?

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Thank you!

Ryan Pietropaolo

pietropaolo@ncssm.edu