Data collected by PH210 students to describe the motion of a person on an amusement park water slide who moved from a level section of the slide onto a smooth slope at t= 0 seconds is described in thefollowing data. t(sec) 0.50 0.01 7.10 0.20 0.75 0.01 7.90 0.20 1.00 0.01 8.50 0.40 1.25 0.01 9.50 0.30 1.50 0.01 10.00 0.40 1.75 0.01 10.50 0.40 2.00 0.01 11.20 0.30 If we assume that the velocity data can be fitted by the linear equation: VC) = V, + at we can determine the initial velocity , and the acceleration a of the person. Use your Excel Template or least squares fitting table from the previous lecture to answer the following questions. Carry at least two extra decimal places through all statistical calculations, and round appropriately when expressing the final results. What was the initial velocity of the person? Select one: O a. 2.71 m/s O b. - 2.71 m/s O C. - 5.85 m/s Od. 5.85 m/s O e none of these
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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