# The VIPER

## Background Information

Viper is a steel roller coaster made by arrow dynamics of the United States. The roller coaster is located in the Baja Ridge area of Six Flags Magic Mountains in Valencia, California. Viper is the last of the three 7-looper roller coasters built by arrow dynamics to remain operating. This roller coaster built in 2010.

TheViper

## Our Original Sketch

Now, we've gone through a lot of trial and error and the sketch we decided to go with was created by Rahul and Jamie. They co-designed the roller coaster with the following rough sketch:

## Thought Process

The plan while creating the roller coaster was to create a parallel set of equations. The first half of the equations were all given a reflection on the y axis and shifted over to the other side of the 50 seconds. The most challenging equation was the Sinusoidal, having to add a diagonal shift was something we had to research. It took a bit of trial and error after learning how to add it, but we managed to make it work.

The equation choice for the centre was chosen based off the equations we had not chosen, and thus, connected them best we could. After we had made it to the 50 second mark, each equation was replicated, reflected and translated. The enter function of the roller coaster did not end up being perfectly symmetrical, however, it does resemble the “M” design we were going for.

The most challenging restriction on our design concept was having it be a height vs. time graph. Initially, we thought of adding loops, curves and turns in our original idea, however, since time is not capable of going backwards, we were forced to change the design concept. If the restriction had not been in place, and had being a height vs. distance graph, it would have been much more open to different design concepts. Our initial idea was to spell the word “math”, however, after much trial and error, we were incapable of spelling the word in the height vs time graph and decided to make the whole graph based on the letter “M”.

## The Final Version of the Height versus Time

We made the "M" design to symbolize mathematics. Since we were incapable of spelling out "MATH" as a function, we decided to simply create a wacky looking "M".