Function dependent on time alone that will result with meters?

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Discussion Overview

The discussion revolves around the concept of whether a function can depend solely on time and still yield a result measured in meters. Participants explore the relationship between time, displacement, and the definition of a function within the context of physics and mathematics.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that a function dependent on time alone cannot yield a result in meters, suggesting that displacement must also involve velocity.
  • Others argue that displacement can indeed be a function of time alone, using examples such as constant velocity functions to illustrate their point.
  • A participant presents a mathematical expression involving time that results in a position, challenging the notion that time cannot solely define a function yielding meters.
  • There is a contention regarding the interpretation of the concept of "function," with some emphasizing its mathematical nature versus its application in physics.
  • One participant criticizes another for their approach, suggesting that they should seek clarification from authoritative sources rather than making bold claims about physics.

Areas of Agreement / Disagreement

Participants do not reach a consensus; multiple competing views remain regarding the relationship between time, functions, and displacement.

Contextual Notes

Participants express differing interpretations of what constitutes a function in the context of physics and mathematics, leading to unresolved discussions about definitions and applications.

123learn
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There cannot be function dependent on time alone that will result with meters. No x=f(t). It is x=f(V,t)=Vt.

Don't you delete this message because it is meaningfull...
 
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Suggest you look up the definition of function. Displacement can (and often is) a function of time alone, otherwise one would not be able to get velocity as the rate of change of displacement with respect to time.
 
The function x= 10m/s t where t is in seconds, is, in fact, a function of t only. Yes, the "10 m/s" is a velocity but since it is a constant, x is not a "function" of velocity.

In any case, the concept of "function" is a mathematical one, not a physics concept. When you are putting units of measurement in, you are talking about an application of mathematics, not the mathematics itself.
 
sexwish said:
There cannot be function dependent on time alone that will result with meters. No x=f(t). It is x=f(V,t)=Vt.

Don't you delete this message because it is meaningfull...


This is untrue man.

For example : t * e_x + t² * e_y (the e_x and e_y are just the basis-vektors denoting the components in the x and y direction)

This is a function dependent on time but it yields a position. It just expresses what the position is after a certain amount of time.

I think you are looking at the concept of "function" in the wrong way


regards
marlon
 
Sexwish, I read your former post and it was deleted with good reason.
Your remark will NOT revolutionize physics. It's pretty arrogant to think it would.

Next time you encounter something that doesn't seem right. Ask your professor (or post to this form) that you don't understand it and ask for an explanation instead of claiming physics is wrong.
Learn some humility, unless you want appear as a crackpot.
 

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