Real world example for derivatives

AI Thread Summary
Derivatives are fundamental in understanding rates of change in various real-world scenarios. Acceleration is a derivative of velocity, representing how velocity changes over time, while velocity itself is a derivative of displacement, indicating how position changes. These concepts can be applied to analyze motion, such as vehicles on freeway ramps or the movement of tides. Understanding these relationships can help clarify the practical applications of derivatives in physics and calculus. Exploring these examples can enhance comprehension of both subjects.
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hey guys, i failed calc last year and got a bad grade in physics. But i still want to learn about both. My question is about deratives. I have yet to find a real world example and how to apply the formulas to it. I've hurd that the curvature (dunno if that's a word) of on/off freeway ramps use deratives, and that the tides use deratives. Does anyone have an example of how you can apply the derative formulas to any real world thing, and explain how you got your answer? Any comments would be appericiated.

thanks, brian
 
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Sure.

Your acceleration is a derivative of your velocity - it the rate of change of your velocity.
Your velocity is a derivative of your displacement - it the rate of change of your displacement.

Those are probably the two simplest examples. :smile:
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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