Project due on Monday 10/ 20 /14
( Groups of 4 students )

Purpose:
In real life, polynomial functions are used to design roller coaster rides. In this project, you will apply skills acquired in Unit 2 to analyze roller coaster polynomial functions and to design your own roller coaster ride.

Project Components:

Group Roller Coaster Design Final Draft.

1. Rough Sketch of your Roller Coaster.
(the x-axes and the y-axes labeled with zeroes and the y-intercept clearly labeled)

2. Report MUST be completed on a separate sheet of typed questions with answers and work for each question. (ALL 11 parts of the report MUST be labeled ! )

3. The graph showing your polynomial function on a scratch program ( You can use desmos.com and take a screen shot of it, ONLY, if you cannot find another program.)

4. Group presentation, 3 min ( PowerPoint or prezi )

Description

You decided to become a structural engineer who specializes in roller coaster design. Your job is to design your own roller coaster ride. To complete this task, please follow these steps:

The amusement park you are designing for, gave you the following coaster requirements:

1. your coaster ride must have at least 3 local minimum and / or maximums.

2. the ride length must be at least 4 minutes

3. the coaster ride starts at 250 feet

4. the ride dives below the ground into a tunnel at least once

Write your report on you Roller Coaster Design. Label each part clearly. Your work MUST be neat, organized and must appear professional. ( Typed + Rough sketch )

1. Draw a rough sketch of your "roller coaster" ride on a coordinate plane. Note: Be sure to illustrate your x-axis and y-axis scale to identify the length of the ride and the height of the ride you are designing. Make sure your design meets all the criteria listed above....

...Individuals love to go to the amusement parks and try out the rides that are available. The most common and thrilling ride is the rollercoaster. An amusement park is not an amusement park if it does not contain a rollercoaster. What makes these rollercoasters so fun that every amuse parks has one. A lot of people would say it is their extreme high speeds that makes it very exciting. That is a valid answer, but it is the wrong answer. The speed has nothing to do with the excitement. It is more than likely that most people travel faster on their ride along the highway on the way to the amusement park than they would in a rollercoaster. Basically the thrill all comes from the acceleration and the feeling of weightlessness that they produce. Rollercoasters thrill people because of their ability to accelerate them downward one moment and upwards the next; leftwards one moment and rightwards the next. How does this thrill machine work? There are two ways that this question will be answered. First, through the basic principles and then through a more advanced explanation.
Rollercoaster rides involve a great deal of physics. The ride often begins with a chain and motor which exerts a force on the train of cars to lift the train to the top of a tall hill. Once the cars are lifted to the top of the hill,...

...Introduction 2
Brief history of RollerCoasters 2
Physics of rollercoasters 2
Rollercoaster Design 3
Analysis of RollerCoaster 4
1st Slope 4
2nd Slope 4
1st Dip 5
3rd slope 5
Loop 5
Conclusion 5
Bibliography 6
Appendix 6
Synopsis
The context of this report is to design and analyse a rollercoaster within the parameters of: a maximum “g” force of “4g’s”, a length of 40 to 100 seconds and has to be constructed of metal rather than wooden trestles. This report also requires a qualitative and quantitative explanation of the theory and figures behind the analysis.
Introduction
In this report there is a qualitative and quantitative explanation of the physics of a rollercoaster and well as the figures which are retrieved via mathematical analysis of a rollercoaster.
Brief history of RollerCoasters
The first basic rollercoasters were first created in Russia in the 1780’s where a large wooden ramp would be constructed in winter and as the ice covered it people would ride sleds down it, these creations were called ‘Russian Mountains’. In 1804 the innovative idea was taken to France where Small wheels were added to the sleds to make the ‘Les Montagnes Russes’ or ‘Russian Mountains’ usable during...

...RollerCoasters
The main energy transfers that happens as a “car” travels along the track from the start of the ride to the end.
1. The main energy transfers are between gravitational potential energy (GPE) and kinetic energy (KE), and the eventual decrease of mechanical energy as it transforms into thermal energy. Rollercoasters often start as a chain and motor exercises a force on the car to lift it up to the top of a very tall hill. At this height, GPE is at its highest, as we can see through the formula:
GPE = mass x gravitational field strength x height (for all physics in relation to Earth, take g to be 10 m/s2 or 10 N/kg)
We can see through this formula that as the height increases, so does the GPE, which will then be converted into KE, or kinetic energy. This is the energy that takes place as the “car” is falling down the hill. This is calculated through the formula:
KE = 0.5 x mass x speed
This means that the kinetic energy increases as the speed increases, and vice versa. Therefore, this means the higher the kinetic energy, the faster the “car”. We can actually be extremely specific in terms of this relationship. We know that as the mass doubles, the KE doubles, but as the speed doubles, the KE quadruples. This becomes important when analysing this formula:
KE = GPE/0.5mv2 = mgh
2. A rollercoaster ride is a thrilling experience which involves a wealth of...

...Instructor Anthony Sanders
English Composition I
October 17, 2012
Riding a RollerCoaster and Loving Someone
During times in your life, loving someone can be just like riding a rollercoaster. They both have their ups and down, sudden turns along the way, repetitive circles, and those butterflies that get in your stomach. However, one of the major differences is how you ride, the respect, time, cost, and how you expect things to take place. No matter what has happened throughout the journey, they are both very good experiences that take place in your life because it allows you to grow and learn from each of them.
At the very beginning of a ride, everyone is standing in line, waiting for the next seat to become available. You wait and you wait and you become very impatient. You are so excited and just cannot wait to get on the ride and find out what it is all about. This is just like a relationship; at the start of it you are so excited to meet your significant other and get to know him or her so much better. You want to know everything about him or her. Everything is going great until it is finally time to get on the ride. You hand them your ticket, sit down in your seat and before you know it, reality has hit you; the fear and risk you are about to take. You have just put your life in the hands of someone you do not completely know; you just trust them and hold on. As in relationship, you start off giving...

...chakranemi
THRILL RIDE WHICH SHOWS THE REALITY……
BY:
DAVE ANKIT M.
GOYAL TEJAS S.
PATEL VIVEK
GUIDED BY:
MECHANICAL & CIVIL DEPT.
FROM:
ATMIYA INSTITUTE OF TECHNOLOGY AND SCIENCE ,RAJKOT, GUJARAT
Full description of the rollercoaster model
Firstly:
It is the horizontal loop which is at the top at the highest point
The diameter of the loop is 580mm
This is the place where the riders will be having a slow motion ride where they have a view of the whole coaster which will made them to think that what is going to come next.
Secondly:
Then it comes the vertical fall and a vertical loop.
The length of vertical fall is 340mm
The diameter of the vertical loop is 125mm
The force acting at the time of vertical loop
The above shown figure will give the idea that, what are all the forces which are acting on the body which are in the loop and why the body is not falling, when the body is upside down.
The vertical fall made by the body will make the person riding to feel an effect of free falling and the place they will surely be thrilled at any cost if not, there is vertical loop ahead the thing is when there is vertical fall the body will be in be accelerated to such a speed that it will be able to complete the whole vertical loop in which the body gets upside down and it will surely stimulate their nerve impulse.
Thirdly: (unusual thrill)
Then comes the cyclone...

... The cars subsequently gain kinetic energy. Kinetic energy - the energy of motion - is dependent upon the mass of the object and the speed of the object. The train of coaster cars speeds up as they lose height. Thus, their original potential energy (due to their large height) is transformed into kinetic energy (revealed by their high speeds). As the ride continues, the train of cars are continuously losing and gaining height. Each gain in height corresponds to the loss of speed as kinetic energy (due to speed) is transformed into potential energy (due to height). Each loss in height corresponds to a gain of speed as potential energy (due to height) is transformed into kinetic energy (due to speed)
http://www.physicsclassroom.com/mmedia/energy/ce.cfm (7/10)
A rollercoaster moves in the same way a marble would roll down a slanted surface. The marble rolls because it has Gravitational Potential Energy. Potential Energy is gathered by an object as it moves upwards, or away from, the earth. With a rollercoaster, this is acheived by pulling the train up a lift hill to the coaster's highest point. As it moves higher, it has more potential to fall to earth, increasing its Kinetic Energy. Kinetic Energy is gathered as an object falls. There's a transfer of Potential Energy to Kinetic Energy as the rollercoaster train leaves the top of the lift hill and enters the first drop....

...Post Graduate Programme in Management
Organizational Power and Politics
case summary #1
The RollerCoaster Ride: The Resignation of a Star
20th – January - 2015
Term vi
Course Instructor: Prof. S. K. Ghosh
Submitted by: Group – 13, Section – B
ANJALI CHOWDRY
2013PGP043
MUNMI LASKAR
2013PGP231
NEHA SRIVASTAVA
2013PGP247
PURBALI DAS
2013PGP297
SHNEHA
2013PGP379
SNEHA JAIN
2013PGP394
VINEETA JHA
2013PGP444
Case Summary
The RollerCoaster Ride: The Resignation of a Star
This case is about power dynamics of attracting, retaining and compensating a star performer in a services firm. These are shaped by interdependencies between people and exogenous factors like labor market and competition.
In the case Peter Thompson’s informal source of power which resides in his star status and his relational power grows big enough to question Stephen, in whom the formal source of power lies.
Stephen Connor who is the director of research at investment bank RSH is faced with a threat of resignation by one of the best performers in the department, Peter Thompson. Peter had been consistently ranked in top five by Institutional Investor (II) magazine which made him all the more popular and helped RSH attract better deals and commission. Peter’s rise was partially due to rising semi-conductor industry and mentoring from senior analysts. However, seeing that he was indispensable for the bank, he decided to use his power and...

...geometry and calculus all take a huge role helping out in forming these models.
Rollercoasters first originated in the 16th and 17th centuries by the Russians. They would create sleds made of ice or wood and slide down slopes. The French were amused with this pass time that they actually took the idea back with them home. On HowStuffWorks.com it states, “The most widespread account is that a few entrepreneurial Frenchmen imported the ice slide idea to France.” This was the first time that people were amused with any thought or idea of sliding down some kind of slope and feeling a rush that someday would turn out to be one of the favorite pastimes to present day. It was not until years later when La Marcus Thompson, an inventor and designer created the first rollercoaster in Coney Island, New York City. In Wired.com it states, “…hurtled passengers down an undulating 600-foot-long track at speeds of up to a blistering 6 mph would hardly be recognizable to riders of modern-day rollercoasters.” The coaster was a 50 foot platform and the passengers would sit sideways. This was the beginning of the rollercoaster.
How does math come into play then? Math is needed to build a rollercoaster because everything has to be precise. The first drop is one of the most important because it will determine the speed for the rest of the ride. The height and...