Shown in the following appendix is an in depth, detailed analysis of the different problems associated to the coaster track and the repairs(splines) made to correct them.

matical term used to describe, in this case, the curve that joins two functions at the nearest end points. For example, when you want to join a loop to a straight line to construct a "loop the loop", a spline is made to connect them.

First Derivative-this term is used to find many factors, such as the slope of the tangent line to a curve, the velocity of a particle, and so on. As far as roller coasters are concerned, the first derivative is used to distinguish errors and the slope of the track.

Some common words found in the essay are:
Research Using, Definitions Spline-a, , roller coaster, potential energy, derivative derivative, roller coasters, top hill, kinetic energy, top hill energy, third derivative, energy function, coaster track, supply energy,
Approximate Word count = 685
Approximate Pages = 3 (250 words per page double spaced)