Merton theorem

…it is sometimes called the Merton acceleration theorem. A very simple graphical proof was given about 1361 by the French bishop and Aristotelian scholar Nicholas Oresme. He observed that the graph of velocity versus time is a straight line for constant acceleration and that the total displacement of an object…

…the first proof of the Merton theorem: the distance traveled in any given period by a body moving under uniform acceleration is the same as if the body moved at a uniform speed equal to its speed at the midpoint of the period. Some scholars believe that Oresme’s graphical representation…