Summary part I : Roller coasters involve many aspects of math, calculus being one of them. Algebra is used in calculus, therefore, algebra is also used in the creation of roller casters. Roller coaster engineers have to calculate the speed, height, and velocity of the roller coaster so that way there is not too much g-force. They have to set up the tracks so that the ride gives an illusion that the twists and turns are more intense than they really are. This takes a lot science and math.
Summary part II : Although we don't think about all that when we zipping through those loops and turns its there. If the math and science wasn't there then we would not be as safe on roller coasters as we are today. So next time you ride your favorite coaster remember those things.
Example: The initial velocity of a roller coaster is 8ft per second and the initial height is 20 feet. The pull of gravity is -16t^2. Adding all of those together then placing that into the quadratic equation to find when the roller coaster's tracks will touch the ground.