Time Derivatives: Hi Guys, Am I on the Right Track?

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Discussion Overview

The discussion revolves around the topic of time derivatives, specifically focusing on the notation and expressions used by a participant who is seeking validation of their understanding after a long absence from academic study.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • A participant expresses uncertainty about their understanding of time derivatives and requests feedback on their notation.
  • Another participant questions whether the variable ##\theta## is a function of time.
  • A third participant confirms that both ##\theta## and "a" are functions of time.
  • A later reply agrees with the expression presented but suggests using a simple equals sign ##=## instead of ##\Rightarrow##.

Areas of Agreement / Disagreement

There is no clear consensus on the notation used, as participants have differing views on the clarity of the expression and the appropriate symbols. The discussion remains unresolved regarding the best way to represent the time derivatives.

Contextual Notes

Limitations include the lack of clarity in the notation presented and the difficulty in interpreting the attached image referenced by the original poster.

Mishal0488
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Hi Guys

I just want to make sure that I am on the right track, with regards to time derivatives.
I have been out of university for many years and I have become a bit rusty.

Please refer to the attached image and let me know if I am on the right track.
 

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It's not clear from your notation what you are trying to say. Is ##\theta## a function of time?
 
Both theta and "a" are a function of time
 
Mishal0488 said:
Both theta and "a" are a function of time
The expression looks right (it's hard to see the dots). But, you should use a simple equals sign ##=##, rather than ##\Rightarrow##.
 
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