No Sir you have not got the units down as I have already shown I think you are accustomed to using the metric system which is impotent as a system of values within the small arms world Maybe in engineering you can use the metric system but not in the small arms world As I have posted elsewhere we use the English Engineering System with its true and correct  UOM pound force F pound mass m time tand distance d That is why all computations of bullet energy and recoil energy are in footpound force Fd  Your inference to the jerk is junk science made up by the and with great respect sporting arms writer Jon Sundra I hope I spelled his name right There is no way to make acceleration fast or slow By introducing time back into acceleration is to rendere acceleration mathimatically impotent and equal to velocity And there you are back to momentum again