Derivatives With Respect To Time
Position, velocity and acceleration form a natural sequence. Position can be seen as the zeroth time derivative of position, velocity is the first time derivative of position, and acceleration is the second time derivative of position.
The scientific understanding of space and time is that there does not exist such a thing as measuring an object's position with respect to inertial space, and no such thing exists as measuring an object's velocity with respect to inertial space. It is the third in the sequence, acceleration with respect to the background, that is the first to be physically manifest.
Read more about this topic: Inertial Space
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—Ralph Waldo Emerson (1803–1882)
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