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

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The discussion focuses on clarifying the understanding of time derivatives. The original poster seeks confirmation on their approach after being away from academia for years. Respondents note that both theta and "a" are functions of time, suggesting the expression appears correct but is difficult to interpret due to unclear notation. They recommend using a simple equals sign instead of a right arrow for clarity. Overall, the conversation emphasizes the importance of clear notation in mathematical expressions.
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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