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hutchphd

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While this probably true for most folks when pondering velocity, it is a rare toddler indeed who was pondering acceleration. The step to a second derivative is not at all natural and is a fundamental Aristotelian stumbling block that bedeviled pre-Newtonian natural science.jack action said:Really, toddlers get that concept on their own just by simple observation.

I think there is a Recapitulation of this for everyone learning dynamics and kinematics be they toddlers or pre (perhaps sans)-Newtonian scholars. Higher order rates of change are "unnatural" for each group.haushofer said:I know many of my students didn't (I asked this question annually), but I doubt whether knowledge of calculus translate into more insight to this situation.