Sir Isaac Newton was born in December 25, 1642 at Woolsthorpe, near Grantham in Lincolnshire and died in the year 1727. Newton believed that all objects and motion (on earth) were affected by a force called gravity, all which Newton made into a law, which named the Universal Law. Newton also made three of what he called "laws of motion," each law had to do with a certain aspect of Gravity and his Universal Law. Newton believed that most of the things he discovered, such as gravity, force, motion, etc. were caused/existed because of scientific reasons, and not because of religious reasons or any other reasons such as those. Newton was known most of all for his discovery of Universal Law.
Aristotle was born in 384BC at Stagira in Macedonia and died in the year 322 BC. Aristotle, unlike Newton believed that the universe was spherical and that the Earth was the center of that Universe. He believed that the center (or Earth) was made up of four elements: air, earth, fire, and water. Aristotle believed that each element belonged in/at a certain place, whether it be going-up through the Earth, or down-through the earth, etc. Aristotle called this motion Linear Motion-which Aristotle believed had a lot to do with a resisting medium or a reoccurring factor. Aristotle idea of motion had mainly to do with spontaneous and reoccurring actions or events that he believed were all caused for one reason or another, most of which led to a religious belief of some sort.
Newton and Aristotle were in a way alike and in a way completely different in their beliefs of motion and how/why it occurred (the way that it did). Newton however studied scientific causes for motion which he thought was force, while Aristotle thought that all motion had to do with life and the way everything acted and reacted and not because of some scientific reason. Aristotle and Newton also were alike in a sense that they both believed motion was caused for a reason and that motion was something that controlled/affected everything around it. So Newton and Aristotle were very different in their beliefs of motion (with a few/couple of exception), but as far as their accomplishments and ways of changing the way(s) that people thought back then, they were almost exactly alike.