We analyze and discuss the agreement between the experimental data obtained with video analysis and the theoretical calculations for the classical problem of brachistochrone and tautochrone cycloids. We use the open source software Tracker to examine video segments with simultaneous records of both straight and cycloid ramp to taken experimental data and compare them to the theoretical study. The results are in accordance with the theoretical description. The study of this classical problem is a proof of concept of the reliability and accuracy of the method that can be applied in other classical mechanics problems.