Investigate, for different size pool tables, the number of contacts, (including the start, rebounds and finish) when a pool ball is projected from one corner and bounces off the sides of the table until it can enter a pocket.
Rhys Griffiths 11B February 2003 Mathematics Coursework Intermediate Tier Four Pocket Pool I intend to investigate, for different size pool tables, the number of contacts, (including the start, rebounds and finish) when a pool ball is projected from one corner and bounces off the sides of the table until it can enter a pocket. The ball is projected at an angle of 45o degrees to the side of the table and rebounds at the same angle. To carry out my investigation I intend to follow the following steps * Try a simple case * Use some helpful diagrams * Organise in order from the simplest case and increase in small steps * Put my results in tables * Spot a pattern and test it * Find a rule and test it * Explain why it works For a 4 x 15 pool table, the ball has contact with the table 19 times. The simplest case is a 1 x 1 table. I will then increase this to a 1 x 2 then 1 x 3 etc. 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 Length (L) Width (w) Bounces (b) 2 2 3 3 4 4 5 5 6 There is a pattern in the table where the number of bounces is going up in increments of 1. The next values in the table should therefore be 1, 6 and 7, representing length, width and bounces respectively. I've also spotted that if I add the length and width together it will give the number of bounces. i.e. L + w = b. By drawing a 1 x 6 table I can show that this is correct. 1
"Words are Loaded Pistols" - Jean-Paul Sartre - Discuss.
Shai Manor 1/02/04 TOK 11A Ways of Knowing: Language "Words are Loaded Pistols" - Jean-Paul Sartre This essay is written, to show the power of words, and to explain the quote above by Jean-Paul Sartre. I will relate this topic to ways and areas of knowing. Some examples might be given throughout the explanation of the quote and how it can be seen. Words are loaded pistols means to me, that thoughts are pistols, and words are loaded pistols, when you speak, you shoot the words out. The difference between thoughts and words is that thoughts are something we think of, evaluate it for ourselves, words are eventually the conclusion we have made out of our thoughts. This can be seen as a political thing, politicians, before taking extreme measures and going to war, talk diplomatically. They kind of shoot each other with thoughts and words. When they speak they give their opinion and therefore it can be seen as a violent thing. Politicians quarrelling about what they want and need from the other, demanding for peace while trying to get something out of it as well. For example, the Middle-East conflict, where Israel wants to make peace with the Palestinians, who see Israel wanting peace so much as an opportunity to demand more and more land. This quote can be related to emotion, perception and even belief. This quote can be a form of perception, since every person sees it
Glasgow Sonnets by Edwin Morgan
Glasgow Sonnets by Edwin Morgan ____________________________________________________________________ Critical Essay Q: Structure is an important feature in poetry. Choose a poem which has very deliberate structure (rhyme, rhythm, form etc) and write about it in such a way as to explain the contribution made by its structure to your appreciation of the poem. ____________________________________________________________________ Glasgow Sonnets by Edwin Morgan is a great example of the importance of structure in poetry. The poem consists of fourteen lines of equal length, which is split into an eight line octet and a six line sestet. The first eight lines - octet - are describing the area which the poem is based on, the focus is on a bleak looking building and everything that surrounds it. The opening line has great significance as it describes the wind as 'mean' this instantly gives me an insight to the tone of the poem, which is one of sadness, poverty and deprivation. By the use of the word 'mean' it personifies the wind which is being described, making me visualise deprivation and poverty. Also in the first line Morgan uses alliteration in the words 'wind wanders' I do not usually associate the word 'wander' with the wind, this in turn portrays to me a wind that is aimless and has no specific place to blow. The last word in the first line 'trash' has a
Does people's ability to estimate lengths improve after being shown an accurate length?
Maths Coursework: Statistics Does people's ability to estimate lengths improve after being shown an accurate length? Introduction I have been set a task for my maths coursework to analyse and conclude on the subject of peoples ability to estimate lines. For this coursework I will do a statistical based analysis of the results I collect. From those results, I will create various graphs and charts to show them in a different perspective. I will be collecting the data from various people and recording them in a data capture form I will create myself. I intend to enter the results into a spreadsheet for easier analysis. Once I have analysed all the data and wrote all that I can about it, I will conclude and evaluate it. Hypothesis: People's ability to estimate the length of a line improves after being shown an accurate length. Plan To do this I will first draw a line of exactly 95mm on a blank piece of paper, the paper itself will not be A4 as the estimation becomes invalid as some people know the measurements of an A4 piece of paper. It will be on a piece of square shaped paper, the length of it will not be revealed. To make the line exact, I will produce it using a computer program , typing the exact length to produce a horizontal line, I will then print it out. However printer ink sometimes smudges on cheap, thin paper, spreading out and so the tine could get longer.
Count the letters in each word of a 100-word article out of two different sorts of newspaper or magazine e.g. a tabloid newspaper and abroadsheet newspaper, and we had to compare the results.
Count the letters in each word of a 100-word article out of two different sorts of newspaper or magazine e.g. a tabloid newspaper and a broadsheet newspaper, and we had to compare the results. Introduction We had to count the letters in each word of a 100-word article out of two different sorts of newspaper or magazine e.g. a tabloid newspaper and a broadsheet newspaper, and we had to compare the results. Method We basically counted each word to see how many letters there was in each word and then record them in a tally chart. Then we compared the two with box and whisker plots, bar, line pie charts and with just the tables themselves. Results These are the basic tables:- Broadsheet Newspaper Words Tally Total Total Letters III 3 3 2 IIIII IIIII III 8 6 3 IIIII IIII 9 27 4 IIIII IIIII IIIII III 8 72 5 IIIII III 8 40 6 IIIII IIIII II 2 72 7 IIIII IIIII III 3 91 8 IIIII II 7 56 9 IIIII IIII 9 81 0 IIII 4 40 1 III 3 33 2 IIII 5 60 Total 00 Total amount of letters 591 Tabloid Newspaper Here are the Pie, Line And Bar Graphs Here Are The Range, Mode, Median, and the Mean Broadsheet:- Mean No. Of Words= 8.333333 Range = 5 Mode = 4 words Median = 8 Tabloid:- From the above results I can see that the broadsheet newspaper has bigger words in it than the tabloid. But the tabloid newspaper would be easier to
Psychology of Language - The Nittrouer Study.
Monique Fontes Psychology of Language 0/27/03 Part II: Essay Questions .) The Nittrouer Study: An early experiment, hypothesizing infant speech perception, found that infants could classify two stop-vowel syllables that varied in acoustic dimension. In other words, the results of the Eimas study suggested that, even before language acquisition, humans could differentiate between different categories of phonemes. Further evidence showed that infants could discriminate virtually all the world's phonetic differences. For example, Aslin's Universal Theory proposes that all infants are born with a "universal set" of phonetic boundaries and through experience with one's native language certain categories are maintained, while others are dissolved. With these theories, comes the implication that language perception is innate; however, such concepts ignore existing contradictory evidence. Susan Nittrouer found such results which, consequentially, compelled her to question the long-standing notion of innate phonetic boundaries Susan Nittrouer intended to test the weighing strategies used by infants for the various acoustic properties that define linguistic categories. However, her results showed that infants not only lacked weighing strategies, but also lacked reliability in discriminating between phonetic categories. She admits that her findings coincide with those that
From Renaissance to Modern Literature: Loss of Understanding; Creation of Anxiety
The style and rules of the English literature of the Renaissance era are very different from those of modern literature. Those who are unaware of the rules and conventions of the Renaissance era are easily overwhelmed and frustrated when trying to understand works written by writers of the time. Writings of the Renaissance era cause individuals in modern day society to experience anxiety when reading the literature due to the alphagraphics, spelling variations, and conventions used by the authors and printers. In the Renaissance era, the alphabet consisted of twenty-four letters unlike the modern day alphabet, which consists of twenty-six letters, which causes confusion to those attempting to comprehend Renaissance writing. The complexities of English literature have developed greatly over the years, especially from the Renaissance to modern day. Present day readers experience anxiety when reading Renaissance writing because certain letters could be used for multiple purposes and had different meanings and pronunciations depending on their placing within the word. Depending on the positioning, the sound that the letter makes could vary. The alphabet of the Renaissance era did not contain the letters "v" or "j". The letter "v" was known as a "pointed u", and it was used at the beginning of a word. On the contrary, the letter "u" was known as a "round u" and it was used in the
'The Seed Shop' by Muriel Stewart is a poem I read recently in which the writer expresses her views on origin, potential and ultimately that of creation.
'The Seed Shop' by Muriel Stewart is a poem I read recently in which the writer expresses her views on origin, potential and ultimately that of creation. Although the poem is based around a seed shop it can be said that it reflects the development and potential of all living things, including the human race. She shows these ideas through her use of imagery, word-choice and structure. The idea of humble origins is apparent even in the first line of the first stanza where 'quiet and dusty room' is used to describe the place in which the poem is set. This, straight away, makes the reader envision a place closed off and secluded from whatever lies outside, the word 'dusty' making it seem untouched and dingy. With regards to human life it could be said that the human being is also at some stage of development, possibly before birth, contained also. Imagery is again used in the third stanza where the phrase 'narrow cell' reinforces this idea of containment. It gives the reader an impression of something being held against its will, of entrapment, as the word 'cell' alone has connotations of imprisonment and in the sense of birth, could be referring to the womb. Further examples of word-choice used effectively to show the idea of origin are 'safe and simple' and 'sealed in their shells', both again suggesting something being trapped or contained, possibly within the womb. For
For my investigation I am going to compare the amount of word per sentence on a page.I will be comparing a childs magazine, Balamory, a teenage magazine such as NME and also an adult magazine such as House and garden.
Introduction For my investigation I am going to compare the amount of word per sentence on a page. I am doing this to see which magazine has the most amounts of words and the bigger vocabulary. I will be comparing a child's magazine, Balamory, a teenage magazine such as NME and also an adult magazine such as House and garden. Also the magazines are divided up into categories further than just ages. The House and Garden would appeal more to adult ladies because it is about furniture and designs. Where as the NME magazine appeals to teenagers but it is focused on only a certain type of music so it wouldn't be every teenagers pick. Balamory magazine is focused mainly at the audience that watches them on television. If the child watches that program they are likely to buy that magazine whereas if the haven't seen it they wont want the magazine. Also the toy on the front of the magazine may influence the child's choice of magazine. Hypotheses I think that the House and Garden Magazine will have the longest average sentence length whereas the Balamory magazine will have the smallest. Prediction These are some more of my predictions: I predict that the House and Garden magazine will have more words per sentence because adults have a wider rage of vocabulary and a longer attention span. This is because they are older. I think that there will be brighter and more pictures in
Compare a modern romantic comedy with a very old romantic comedy - Compare word lengths mathematically.
Statistics Coursework Introduction For my investigation I intend to compare a modern romantic comedy with a very old romantic comedy. I have chosen Bridget Jones's Diary by Helen Fielding and Emma by Jane Austin. Bridget Jones's Diary was first published in 1996 whereas Emma was first published in 1816. As the books were written a hundred and eighty years apart, I think there will be a difference in the writing styles, and I think Emma will be harder to read, although I cannot compare mathematically writing style and difficulty, I can compare word length assuming that longer words are more difficult to read. Hypothesis Old books are harder to read than modern books of the same genre. I hope to find that the confidence intervals I calculate will not overlap or not overlap much, this will show that the means are not or are unlikely to be the same. Method In order to compare the word lengths, I going to take a sample of eighty words from each book, then compare the means, variances and standard deviations in order to decide whether or not Emma is a more difficult book to read than Bridget Jones's Diary. To ensure that the sample is completely random I am using the random button on my calculator to pick a random page number and line number for the sample of sentences, and a random page, line number and word number for the sample of random words. To determine my numbers I