Acceleration and Quantification

As is clearly expressed in 'go faster than', and in 'increase speed', the concept of Acceleration is essentially indefinite, i. e. once initiated, acceleration is, in itself, undelimited.  In contrast, to quantify is to delimit.  Hence, 'd/t-squared', in which both d and t are finite, is an inadequate definition of A.  No exception to that judgment is either when t is instantaneous, or when it 'approaches Infinity'--in the former, an instant is a special case of an interval, while in the latter, 'Infinity' is the product of an hypostatization of the modifier 'indefinite', and, thus, entails a surreptitious introduction of delimitation into the definition.