Equações polinomiais e aplicações aos movimentos de partículas

Abstract

This work presents, in an interdisciplinary way, how students can face everyday problems involving particle movements, based on some mathematical concepts, specifically polynomials, to be developed in the context of basic education, where it was then a question of finding specific polynomial equations, in order to study particle movements, from the simplest movements with zero acceleration, through those with constant acceleration, and even reaching the most complex ones, with varying polynomial accelerations, with the due particularities and restrictions adopted, not stopping only at studies of the best known movements, such as Uniform Movement and Uniformly Varied Movement, but of other more unusual movements, whose accelerations can be of the variable type, but with polynomial characteristics, where these polynomials vary as a function of time, and therefore, called time functions. Thus, it was possible to perceive the possibility of such studies of these movements in basic education, without the need to use more advanced mathematical concepts and outside the student reality, in addition to the fact of generating a type of educational product, with the aim of supporting basic education teachers in some peculiarities of the movements presented in Physics, Science or Mathematics classes.