A comparison between some curves and the brachistochrone curve.[br][list][br][*]RED: straight line[br][/*][*]PURPLE: parabola[br][/*][*]BLUE: circumference arc[br][/*][*]CYAN: cycloid[br][/*][*]GREEN: circumference arc[br][/*][*]ORANGE: polynomial function, [math]y=x^n[/math][br][/*][/list][br]Control the speed with parameter [math]V[/math]