Attached is suggestions for improving your SecondFundamentalTheorem notebook. As indicated, corrections and suggestions are in pink- and blue-background cells.

Murray, I do not use the "cloud" and it was a struggle to just copy and paste your code / improvements onto my own offline machine and try it. I also do not run these manipulations very often and quickly delete them. They can be pretty harsh on cheap computers already loaded to the max. But I did run the thing and shur nuff that little blue acceleration went from flatlined and jumped erratically to the expected values. I see you went doubble aa for acceleration and suppose the a[t] was quite impractical. I still find it a circle of sorts. Consider my newest addition to the community jist posted called the Second Fundamental Theorem Thank you and might get back to you on that.

Oh, the slant fraction and Style I was aware off pretty much, but were you cognizant of my point about variable defination and drift about the s being used here ? From the Wolfram Documentation "prints as the expression expr, with expr maintained in an unevaluated form " I am quite certain that when I was constructing this thing typing the s in the command line for the graphics lit up like an assigned variable and using HoldForm made it go black again as unevaluated.

Attachments:

Second Fundament...nb