# Flight of Terror

### Roller Coaster

• Maximum Height: 300 ft or approximately 91 m
• Height Restriction: 1.50 m
• Maximum Speed: 145km/h
• Opened: January 18, 2016
• Park: Joyville

## Summary

Before constructing 'Flight of Terror' on desmos, we first created example equations for each function and a rough sketch of how each function looked in order to help guide us to know when and where to use each function. We started by plotting these equations that we came up with on desmos, and working from there using the method of guess and check to allow it to connect and flow smoothly. During the process of creating our rollercoaster, we came across a number of difficulties. As a group, we first needed to understand the requirements of the assignment. In order to begin creating the path which the rollercoaster had taken, we had to figure out how to add all of the 7 different functions within 100 seconds, which at the time seemed like way to less time to fit each function correctly. This was difficult to do because we had to make sure the rollercoaster flowed smoothly transitioning from one function to the next, which is why we used a variety of vertical and horizontal reflections. Moreover, while creating various functions, we used a trial and error process where you follow the basic format of the function but you adjust is as you go to fit a scale on the graph in order to shape our rollercoaster, making it very time consuming. We needed to get the functions to connect allowing to create the path which the roller coaster travels. This was also difficult to do because we would have to cut and adjust functions (coming up with restrictions) for each of the functions to line up to connect and flow evenly. Overall, we were able to solve through all the minor problems, and create a realistic roller coaster which was capable of ending at exactly 100 seconds.

## Calculations

Solve for the exact time(s) when your roller coaster reaches a height of:

• 250 feet

• 12 feet

Calculate average rate of change from:

• 10 to 15 seconds

• 50 to 60 seconds

Calculate instantaneous rate of change at:

• 35 seconds

**WITH ITS 300 FT DROP, STEEP TURNS, AND SPEED, IT IS GUARANTEED TO GET YOU IN TEARS!**