Problem 3 Development Numerical Algorithms Construction Functions Numerical Computations S Q43857857
Please answer this question using matlab. Thank you.
Problem 3: Development of numerical algorithms and construction of functions in numerical computations The speed of a train during the first 90 seconds has been recorded as follows: 1 | t (sec) v (m/s) 0 0 15 6 30 20 45 | 60 | 75 | 90 33 394345 From the v-t graph, approximating the curve as straight-line segments between the given data points, determine the total distance travelled using the relation v= ds = fods = { vdt = s(t)= Svat JS=0 dt Note that integration can be viewed as the area underneath the curve”. a) By hand calculations (with the aid of a calculator, if needed). b) By applying an user-defined MATLAB function which needs to first determine the number of data points and then execute the numerical integration algorithm. A suggested structure is: function output = name (x,y) % x = independent variable % y = dependent variable % output = the approximate value of the integral if length(x) ~= length(y), error(…), end n = length (x) % execute an algorithm for the numerical integration c) Describe the differences in the numerical algorithms and their applications between this problem and the Reimann sum in Problem 2. Show transcribed image text Problem 3: Development of numerical algorithms and construction of functions in numerical computations The speed of a train during the first 90 seconds has been recorded as follows: 1 | t (sec) v (m/s) 0 0 15 6 30 20 45 | 60 | 75 | 90 33 394345 From the v-t graph, approximating the curve as straight-line segments between the given data points, determine the total distance travelled using the relation v= ds = fods = { vdt = s(t)= Svat JS=0 dt Note that integration can be viewed as the area underneath the curve”. a) By hand calculations (with the aid of a calculator, if needed). b) By applying an user-defined MATLAB function which needs to first determine the number of data points and then execute the numerical integration algorithm. A suggested structure is: function output = name (x,y) % x = independent variable % y = dependent variable % output = the approximate value of the integral if length(x) ~= length(y), error(…), end n = length (x) % execute an algorithm for the numerical integration c) Describe the differences in the numerical algorithms and their applications between this problem and the Reimann sum in Problem 2.
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Answer to Problem 3: Development of numerical algorithms and construction of functions in numerical computations The speed of a tr…
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