Function dependent on time alone that will result with meters?

In summary, a function cannot solely depend on time and result in meters, as it must also have a velocity component. The concept of a function is a mathematical one, and when applying units of measurement, it becomes an application of mathematics. A function can be dependent on time alone, but it will result in a position rather than a distance. Claiming that a remark will revolutionize physics is arrogant and displays a lack of humility. It is important to seek clarification and understanding from a professor or knowledgeable source rather than claiming something is wrong.
  • #1
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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  • #3
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.
 
  • #4
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.
 
  • #5
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
 
  • #6
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.
 

FAQ: Function dependent on time alone that will result with meters?

What is a function dependent on time?

A function dependent on time is a mathematical relationship between two variables, where one variable (usually denoted as t) represents time and the other variable (usually denoted as y) represents a value that changes over time. This type of function is often used to model real-world phenomena such as the position of an object, the temperature of a room, or the population of a species over time.

How is time represented in a function?

Time is typically represented as the independent variable in a function dependent on time. This means that the value of time is not affected by any other variables and is used to determine the value of the dependent variable.

What does it mean for a function to be dependent on time alone?

A function that is dependent on time alone means that the value of the dependent variable is only influenced by the value of time. This type of function does not take into account any other variables or factors that may affect the dependent variable.

How do meters relate to a function dependent on time alone?

Meters are a unit of measurement often used to measure distance or length. In the context of a function dependent on time alone, meters may represent the value of the dependent variable at a specific point in time. For example, a function that models the position of an object may use meters as the unit of measurement for the distance the object has traveled at a given time.

Can a function dependent on time alone have units other than meters?

Yes, a function dependent on time alone can have units other than meters. The units used in a function depend on the type of variable being measured. For example, if the dependent variable represents temperature, the units may be degrees Celsius or Fahrenheit. It is important to pay attention to the units when working with a function to ensure accurate interpretation of the data.

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