Analysis of a Motion having Opposite Slopes

Aditya Kumar Arya

Abstract: This paper gives an overview of how to analyze a curved path having opposite slopes momentarily and to find a way to know its inherent variable. This is achieved by how we use Weierstrass and Jordans definition of continuity and making the path function (x) zero. I am considering a particular situation during motion in which the slopes of the curve of motion at two instants become opposite.

Keywords: Polynomial; Slopes; Path function; Continuity