------------------------------------------------- Equations and Problem-Solving * An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance travelled before take-off. ------------------------------------------------- Solutions Given: a = +3.2 m/s2 | t = 32.8 s | vi = 0 m/s | | Find:d = ?? | d = VI*t + 0.5*a*t2 d = (0 m/s)*(32.8 s) + 0.5*(3.20 m/s2)*(32.8 s)2 d = 1720 m ------------------------------------------------- Equations and Problem-Solving
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BERNOULLI AND ENERGY E Q U AT I O N S his chapter deals with two equations commonly used in fluid mechanics: the Bernoulli equation and the energy equation. The Bernoulli equation is concerned with the conservation of kinetic‚ potential‚ and flow energies of a fluid stream‚ and their conversion to each other in regions of flow where net viscous forces are negligible‚ and where other restrictive conditions apply. The energy equation is a statement of the conservation of energy principle and is applicable
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for Weeks One and Two Chapter 4 Systems of Linear Equations; Matrices (Section 4-1 to 4-6) | Examples | Reference (Where is it in the text?) | | | | DEFINITION: Systems of Two Linear Equations in Two VariablesGiven the linear system ax + by = hcx + dy = kwhere a ‚ b ‚ c ‚ d ‚ h ‚ and k are real constants‚ a pair of numbers x = x0 and y = y0 [also written as an ordered pair (x0‚ y0)] is a solution of this system if each equation is satisfied by the pair. The set of all such ordered
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Mirror and Magnification Equations The mirror equation expresses the quantitative relationship between the object distance (do)‚ the image distance (di)‚ and the focal length (f). The equation is stated as follows: [pic] The magnification equation relates the ratio of the image distance and object distance to the ratio of the image height (hi) and object height (ho). The magnification equation is stated as follows: [pic] These two equations can be combined to yield information about the
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Identification of an Unknown Organic Acid Chem 1211K Lab Drawer #15 Wednesday November 13th‚ 2013 Unknown Number: 3334025-CF13 Table of Contents Pg. # Abstract 3 Experimental Report 4-7 Results and Discussion 7-12 Conclusion 13 **pKa Graph 14 Abstract Identifying this organic acid was an extensive task that involved several different experiments. Firstly‚ the melting
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lab‚ caproic acid was synthesized in a multi-step process that involved the synthesis of three intermediates – diethyl n-butylmalonate‚ potassium n-butylmalonate‚ and n-butyl malonic acid respectively. An IR was used to characterize the starting material‚ n-bromobutane‚ and the first intermediate‚ diethyl n-butylmalonate; while IR and NMR were used to characterize the final product‚ caproic acid. Reactions‚ Mechanism and Theory Caproic acid a.k.a n-hexanoic acid is a carboxylic acid derived from
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Is there really such a thing as rain with acid in it? Yes‚ acid rain is a very real phenomenon worldwide‚ and it’s been documented since the 1800s‚ as the Industrial Revolution caused the burning of fossil fuels like coal‚ gas and oil. When these fuels or any other organic material like wood or paper are burned‚ they release compounds like sulfur dioxide (SO2) and nitrous oxides (NOx) into the air. Are SO2 and NOx the causes of acid rain? Indirectly‚ yes. When SO2 and NOx enter the atmosphere
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Efficacy of Melgaco Equation in Predicting Permanent Mandibular Canine and Premolars width INTRODUCTION Mixed dentition is the period that includes both the primary and permanent dentition‚ begins at the age of 6 years with eruption of lower 1st permanent molar or lower permanent central incisor and ends with the eruption of 2nd permanent molar. It is necessary to perform mixed dentition analysis because it is used to calculate difference between the space available and space required by the tooth
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Acids‚ Bases and Buffers Lab Acids‚ Bases and Buffers Lab Results: The experimental results for part one is as follows: Part One Data Table | Initial pH | Final pH | Test Tube A | 6 | 1 | Test Tube B | 4 | 4 | Test Tube C | 4 | ----- | Test Tube D | 4 | 4 | Test Tube E | 6 | 11 | The experimental results for part two is as follows: Part Two Data Table | Before CO2 was Added | After CO2 was Added | Colour | Blue/green | Light green/yellow | pH Level | 8.0pH | 5.0pH |
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Without knowing something about differential equations and methods of solving them‚ it is difficult to appreciate the history of this important branch of mathematics. Further‚ the development of differential equations is intimately interwoven with the general development of mathematics and cannot be separated from it. Nevertheless‚ to provide some historical perspective‚ we indicate here some of the major trends in the history of the subject‚ and identify the most prominent early contributors. Other
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