How to Calculate the Position of a Flying Object

Here is pictured a flying object that moves from a point a to b at a certain speed. At which point will it be in a precise moment? Determining and predicting its position has always been of interest to us. Man collects data and tries to predict the trend of the data and future. A mathematical formula that predicts the future in some way affects many. A recurring problem in data processing aimed at real-world applications is interpolation. With it, it is possible to identify, through the representation of data via points in a Cartesian plane, new points that can predict the trend of the phenomenon studied, creating a more or less faithful mathematical model for the representation of the studied phenomenon. Inside this research, we particularly want to analyze the interpolation method of Lagrange and its applications in computer science. Given the wide availability of computational resources available, designed according to Moore's law to increase, we can apply interpolations to large amounts of data through computer media, in order to obtain models that are more and more accurate and precise. Here is a path that is not too simple, which we will try to simplify as soon as possible.