Position, velocity and acceleration can vary over time. Although only position and velocity are usually count as states of the ODEs. Which makes me wonder why acceleration is not taken as a state?
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1Related question: https://physics.stackexchange.com/q/154456/ – GiorgioP-DoomsdayClockIsAt-90 Apr 29 '22 at 10:44
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Related: https://physics.stackexchange.com/q/18588/2451 and links therein. – Qmechanic Apr 29 '22 at 11:05