Quote:
Originally Posted by Doug McClasky
So the "point of non-zero acceleration" is simply a point in whatever relevant bigger equation that relates to the equation that describes the behavior of the object before the "point of non-zero acceleration" and how that relates to the equation describing the behavior of the object after the "point of non-zero acceleration"?
That sounds like a truism to me, and if that's correct is there an equation or "family" of equations or whatever to describe that "point of non-zero acceleration" or is that point simply a plot to point in the greater equation?
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In this case, position is given by a quadratic equation in one variable (i.e. a parabola) velocity is given by its first derivative (i.e. a possibly sloped straight line) and acceleration is given by its second derivative (i.e. a level straight line).
Quote:
Originally Posted by Doug McClasky
It sounds to me that this calculus equation you're talking about with nonzero acceleration is our way of breaking down time in relation to a certain instance of movement in a way that makes it make sense in as best a way as we can.
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Yeah, it's a model developed by Newton.