Discovering the Generalized Equations of Motion

Abstract

This paper is concerned with the development of some novel formalisms falling within the purview of classical mechanics. It reports on the discovery of a set of generalized equations of rectilinear motion. The ingenuity behind the present discovery lies in the novel thought of considering the velocity, acceleration and displacement vectors to be in arbitrary directions unlike the long running techniques of derivation of the traditional equations of kinematics in which all the aforesaid vectors are assumed to be in parallel directions. The generalized formalisms developed are self sufficient in respect of solving real world problems of classical mechanics and with the aid of their help, the need of using the ambiguous sign convention for solving typical problems of kinematics by traditional equations of rectilinear motion could be dispensed with. Furthermore, by using the generalized equations of motion discovered, projectile motion can be dealt with satisfactorily without going through the traditional technique of decomposition of relevant vectors along horizontal and vertical directions.