# Funzo the Parabola Theme Park

### Harman i Harshan i Rahul i Dennis

## Vel' Stratos

The vel’ stratos was made for the purpose of moving fast with many jaw dropping drops. We thought through the possible ways we could set up where anything would happen. We wanted to have the ride work for as much speed as possible while maintaining a factor of suspense during each drop. From our personal experiences in roller coasters knew that the moment you get on the ride if would have to start off with a nice drop. That in mind, we thought by disturbing the drops at certain points would be beneficial for a better experience. After that we tried to smaller versions of the drop and had it end with a nice loop before the final drop. Some difficulty we had was just trying to get the right idea of what the group wanted to add and where we could place anything.

## Written Report

## Calculations

The roller coaster reaches the height of 250 ft after:

14.6 seconds

25.36 seconds

59.83 seconds

70.32 seconds

It also reaches the height of 12 ft after:

6.67 seconds

99.13 seconds

## Finding IROCs and AROC

The AROC where X1 = 10 and X2 = 15 equals 47.8

This is determined by Y2-Y1/X2-X1.

The AROC where X1=50 and X2= 60 equals 20.

Which is also determined by Y2-Y1/X2-X1.

## Instantaneous Velocity at 35 Seconds

Point 1 = (35,137.5)

Point 2 = (37, 77.5)

__77.5 - 137.5__

37-35

= -30 ft per second

## Equations Used

## Sections of the Ride

There were many ways to find the domains of the functions, the main two ways are to simply use the graphing software and find where the two lines intersect or you can put the equations equal to each other and solve for X giving the domains, POI, of each line