❖ Position, Velocity, Acceleration using Derivatives ❖

Understanding Position, Velocity, and Acceleration Functions
In this video, we dive into the fundamental concepts of position, velocity, and acceleration functions, exploring their relationships and how they are connected through calculus. You'll learn how velocity is the derivative of the position function, and acceleration is the derivative of velocity (or the second derivative of position). We'll walk through detailed examples to illustrate how these concepts work together in motion problems, providing both a mechanical process and a deeper theoretical understanding of these crucial mathematical ideas.

By the end of this video, you will learn:

How to find the velocity function from a given position function.
How to determine the acceleration as a derivative of velocity or the second derivative of position.
The intuitive relationships between position, velocity, and acceleration in real-world contexts.
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[patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly :)

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[LinnSpin]

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[arnaud]

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[renan]

Thank you. You explained so well. I was really struggling to understand this concept of differentiate to get velocity and differentiate velocity to get acceleration. Now it all makes sense.

[brianwilliams]

THANK YOU! Was just banging my head against a wall over a how derivatives relate to position, velocity, and acceleration. Knowing why it relates helps tremendously.

[danalowry]

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even 13 years later your video is still helping people, I just had a major a-ha moment for quick derivatives

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[ameliagrossman]

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[krispypotato]

was this really the stuff i sat through totally blank in my class? thank you so much this video helped me a lot!!!

[christopherlambert]

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[handlexz]

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