MATHLAB CODE

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Problem 2. (Module 7) The measured velocity of a moving object is recorded in Table 2. a) Find the natural cubic spline passes through the all points presented in Table 2. Suppose the equality of the first and the second derivatives for the internal points, and the first derivative boundary conditions S'(t1) = 0, $'(ts) = 0. Use the cubic polynomials presented in the standard form: at3 + bt+ ct + d. b) Plot the graph of the resulting spline polynomials. Note: Matlab program Mod7_QuadraticPoly.m that used in Section 7.1.2 Module 7, as well as Matlab prog_Mod7 Examplel.m can be used. However, this program needs to be adapted to the data presented in Table 2. See also Section 7.1.3 of module #7 to form the corresponding matrix. Table 2 Time (t). S Velocity (v), m/s 3 22 6 146 10 100 16 302 20 350 Put your polynomial coefficients in this field (use format shorts for answer): Polynomial#1 Polynomial#2 = Polynomial#3 = Polynomial#4 = Paste the plot of spline here