StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...
Free

Which Is Bigger Feel the Fear or The Giant - Coursework Example

Cite this document
Summary
The paper "Which Is Bigger Feel the Fear or The Giant?" will find the difference between the maximum and minimum height for the Feel the Fear and The Giant roller coasters and the maximum possible area of fixed fence enclosure and the dimensions of a snack box that would give the maximum volume…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER97.3% of users find it useful
Which Is Bigger Feel the Fear or The Giant
Read Text Preview

Extract of sample "Which Is Bigger Feel the Fear or The Giant"

Math Report 2 – March Which is bigger Feel the Fear or The Giant? Your College The mathematical modelling is used to find the difference between maximum and minimum height for the Feel the Fear and The Giant roller coasters. It is also used for finding maximum possible area of fixed fence enclosure and the dimensions of a snack box that would give the maximum volume. The findings indicated that the maximum and minimum height of the Feel the Fear roller coaster are 36 meters and -14.815 metres. The difference between maximum and minimum heights for the Feel the Fear roller coaster is 50.815 metres. The findings also indicated that the maximum and minimum height of The Giant roller coaster is 36.434 meters and -96.434 metres. The difference between maximum and minimum heights for The Giant roller coaster is 132.868 metres. The maximum possible area of the rectangular enclosure found to be 2601 square metres when the width is 51 metres. The dimensions of the snack box that would give the maximum volume found to be 6.67 cm x 13.33 cm x 26.67 cm. The maximum volume of the snack box found to be 2370.37 cubic cm. Math Report 2 – March 2015 Which is bigger Feel the Fear or The Giant? Introduction Mathematical modelling is a method for solving problems mathematically. A mathematical model is a mathematical representation of the relationship between two or more variables relevant to a given situation or problem. Mathematical modelling is used to investigate important questions about the observed world, to describe real-world incident, to explain real-world incident, to test ideas and to make predictions about the real-world. In this report, mathematical modelling will be used to answer the real-world questions. The formulation, analysis (using differentiation, maxima and minima), interpretation and test will be done to answer the real-world questions. The mathematical modelling will be used to find the difference between maximum and minimum height for the Feel the Fear and The Giant roller coasters. It will be also used for finding maximum possible area of fixed fence enclosure and the dimensions of a snack box that would give the maximum volume. Analysis Height difference of Feel the Fear According to the brochure for the Feel the Fear, the height of the roller coaster can be determined by below given polynomial model for 12 seconds after the coaster comes out of a loop. Maximum and minimum heights For finding maximum and minimum heights of the Feel the Fear coaster, firstly, we need to find the first and second derivatives. The first and second derivatives of the polynomial model are Solving the equation for turning points. Putting the value of t in to for finding which value of t gives maximum height and which value of t gives minimum height. When t = 8, When t = 10/3, Therefore, t = 8 seconds gives maximum height and t = 10/3 gives minimum height for the Feel the Fear coaster. metres metres The maximum height of the Feel the Fear roller coaster is 36 meters and the minimum height is about -14.815 metres (14.815 below ground level). Therefore, the difference between maximum and minimum heights for the Feel the Fear roller coaster is about 50.815 metres. Graph of the polynomial model For graphing the polynomial model, we need to find the coordinates when the height is 0 and the heights of the roller coaster when t = 0 and t = 12 seconds. When t = 0, metres When t = 12, metres When h = 0, The graph of the polynomial model is given below showing maximum and minimum heights for the Feel the Fear roller coaster. The time when the coaster is at the ground level The time when the coaster is at the ground level is at t = 2 seconds, 5 seconds and 10 seconds. Putting values of t = 2, 5 and 10 in . The remainder is zero for t = 2, 5 and 10 seconds. Therefore, according to the Factor Theorem, it is confirmed that the factors (t – 2), (t – 5) and (t – 10) are factors of . Height difference of The Giant The height of The Giant coaster can be determined by below polynomial model for the first 12 seconds of the ride. Maximum and minimum heights The first and second derivatives of the polynomial model are Solving the equation for turning points. Solving by completing the square. Putting the value of t in to for finding which value of t gives maximum height and which value of t gives minimum height. When t = 1.785, When t = 8.215, Therefore, t = 1.785 seconds gives maximum height and t = 8.215 gives minimum height for The Giant coaster. metres metres The maximum height of The Giant roller coaster is about 36.434 meters and the minimum height is about -96.434 metres (96.434 below ground level). Therefore, the difference between maximum and minimum heights for The Giant roller coaster is about 132.868 metres. Graph of the polynomial model For graphing the polynomial model, we need to find the coordinates when the height is 0 and the heights of the roller coaster when t = 0 and t = 12 seconds. When t = 0, When t = 12, When h = 0, The graph of the polynomial model is given below showing maximum and minimum heights for the Feel the Fear roller coaster. Where does the ride start? The ride start (t = 0) at the ground level. Maximum area of the enclosure The ride has 100 metres of fencing to make a rectangular enclosure as shown and it uses existing walls for two sides of the enclosure, and leave an opening of 2 metres for a gate. Area of the enclosure The width, W of the enclosure is x m. Therefore, the length, L of the enclosure will be m The area of the enclosure is given by: Value of x that will give the maximum possible area The first and second derivatives of the A are Solving the equation for turning points. Therefore, the value of x that will give the maximum possible area is 51 metres. Maximum possible area square metres The maximum possible area is 2601 square metres. Dimensions of the box that will give a maximum volume The snacks will be provided in a box with a lid made by removing squares from each corner of a rectangular piece of card and then folding up the sides as shown in below figure. The box is made with a piece of cardboard that is 40 cm by 40 cm. The height, H of the snack box is x cm. The length, L of the snack box is 40 – 2x. The width, W of the snack box is . Therefore, the volume of the snack box is given by: The first and second derivatives of the V are Solving the equation for turning points. Putting the value of x in When x = 20, When x = 20/3, The maximum volume is when x = 20/3 cm. Therefore, the dimensions of the snacks box are Height, H = x =20/3 cm = 6.67 cm Length, L = 40 – 2x = 40 – 2(20/3) = 80/3 cm = 26.67 cm Width, W = 20 – x = 20 – 20/3 = 40/3 cm = 13.33cm The dimensions that would give the maximum volume are 6.67 cm x 13.33 cm x 26.67 cm. The maximum volume is cubic cm Conclusion I used formulation, differentiation, maxima and minima to find the answers. The maximum and minimum height of the Feel the Fear roller coaster are 36 meters and -14.815 metres. The difference between maximum and minimum heights for the Feel the Fear roller coaster is 50.815 metres. The Feel the Fear roller coaster is at ground level at 2 seconds, 5 seconds and 10 seconds. The maximum and minimum height of The Giant roller coaster is 36.434 meters and -96.434 metres. The difference between maximum and minimum heights for The Giant roller coaster is 132.868 metres. The Giant roller coaster ride starts at the ground level. The maximum possible area of the rectangular enclosure is 2601 square metres when the width is 51 metres. The dimensions of the snack box that would give the maximum volume are 6.67 cm x 13.33 cm x 26.67 cm. The maximum volume of the snack box is 2370.37 cubic cm. Reference Berry, John; Houston, Ken (1995-06-17). Mathematical Modelling (Supporting Early Learning) (p. 1). Elsevier Science. Kindle Edition. Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Report Coursework Example | Topics and Well Written Essays - 1000 words - 9”, n.d.)
Report Coursework Example | Topics and Well Written Essays - 1000 words - 9. Retrieved from https://studentshare.org/mathematics/1687383-report
(Report Coursework Example | Topics and Well Written Essays - 1000 Words - 9)
Report Coursework Example | Topics and Well Written Essays - 1000 Words - 9. https://studentshare.org/mathematics/1687383-report.
“Report Coursework Example | Topics and Well Written Essays - 1000 Words - 9”, n.d. https://studentshare.org/mathematics/1687383-report.
  • Cited: 0 times

CHECK THESE SAMPLES OF Which Is Bigger Feel the Fear or The Giant

Wal-Mart Effect by Charles Fishman

Suppliers try to make themselves as pliant and accessible as possible for the retail giant.... This gives Wal-Mart the benefit of huge economies of scale, which they enlarge to lower prices.... Wal-Mart's pressure to produce products cheaply has many suppliers going overseas, which reduces some companies from firms that designed, produced, and packaged their products simply to importers of products (Theresa Howard, 2006)....
6 Pages (1500 words) Essay

Business Strategy of Shell Group

This is the reason why Shell, despite the giant mergers that occurred in the oil industry remains very much profitable.... Some of the new players include state-owned Saudi Aramco, individual refiners such as Tosco and Valero, retailers such as Tesco and Carrefour which gained significant inroads in gasoline retailing and used to include the defunct Enron Corporation which at one time was a leading gas marketer and retailer, power generator and retailer....
10 Pages (2500 words) Case Study

Art of the Odyssey

However, in willingly joining in battle on Troy, which was strongly associated with ideas of family and home, Odysseus has committed a crime that must be atoned for.... The paper "Art of the Odyssey" presents that while Macbeth's commitment to Duncan is obvious to the audience, it is acknowledged by Macbeth himself as he considers the idea of assassination: 'He's here in double trust: / First, as I am his kinsman and his subject, / Strong both against the deed"....
8 Pages (2000 words) Literature review

The Use of Mathematical Modelling

The instigation aims to determine which is bigger than the other between the giant and feel the fear.... n conclusion, the research purpose was to compare between the giant and feel the fear.... The aim was to determine which is bigger, the first question and the second question are the determinants for the research question....
2 Pages (500 words) Coursework

San Andreas

'San Andreas' does what a good movie of this kind must do: impress viewers, evoke fear and loath, bring in life apocalyptic sensations and images.... The plot is based on the serious natural disaster which hits America unexpectedly.... This essay explores the movie 'San Andreas'....
5 Pages (1250 words) Research Paper

Wal-Mart Effect by Charles Fishman

This gives Wal-Mart the benefit of huge economies of scale, which they enlarge to lower prices.... This essay discusses the Wal-Mart Effect by Charles Fishman.... According to the expert analysis, In effect, Fishman concludes, Wal-Mart does not anything more menacing than selling a $3 item of goods for $2....
6 Pages (1500 words) Essay

Motivation at Marks and Spencers

'Europe's largest retail shop Carrefour recorded a 45% decline in profitability while US giant Wal-mart also declined by 7% in the first quarter of 2009'.... Although it started its global expansion in 1950, it hardly shed off its tag as a British retailer which follows British expatriates abroad....
10 Pages (2500 words) Case Study

Chinas Appalling Media Freedom

For a country which tops in the economy sector, it needs to pull its socks and start accepting that it has failures and downfalls, allow freedom of independent journalist who put the government in the spotlight for concrete governance building and creating a strong foundation rather than a government that just works on how it feels it's best for its citizen....
7 Pages (1750 words) Report
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us