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

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SUMMARY

The discussion centers on the correct notation and understanding of time derivatives in mathematical expressions. The user seeks validation on their interpretation of the relationship between the variables theta (θ) and acceleration (a) as functions of time. Feedback indicates that while the expression is generally correct, the user should replace the implication symbol (⇒) with a simple equals sign (=) for clarity. This highlights the importance of precise notation in conveying mathematical concepts.

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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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