The first law of motion relates to roller coasters because it talks about how objects at rest stay at rest until an outside force moves it and how an object in motion stays in motion until an outside force stops it. For example, a cart on a roller coaster will never start until a force pushes it and the a cart on a roller coaster will never stop until something stops it.
Sir Isaac's Second Law of Motion shows how mass, force and acceleration are related. The formula used for this is force=mass X acceleration or F= M x A. An example of this is when your going up a hill. More force is required in that the going down a hill because when down a hill gravity pulls you down but when going up a hill more force is required because gravity is preventing you from going up.
The third law of motion states that for every action, there is an equal and opposite reaction. When there are sharp turns while you are riding a roller coaster, you jerk a little to the opposite side.
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