Problem 2. (Module 7) The measured velocity of a moving object is recorded in Table 2. a) Find the natural cubic spline that passes through the points presented in Table 2. Suppose the equality of the first and the second derivatives for the internal points and the second derivative boundary conditions S''(ti)=0, S''(ts) = 0 b) Use the cubic polynomials presentation in the form at: + bt+ ct + d. c) Plot the entire data and 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 Velocity (v), ft/s Time (t), s 120 564 873 1012 1670 Put your answer in this field: Polynomial#1 = Polynomial#2 = Polynomial#3 = Polynomial #4 = Paste the figure here: Problem 2. (Module 7) The measured velocity of a moving object is recorded in Table 2. a) Find the natural cubic spline that passes through the points presented in Table 2. Suppose the equality of the first and the second derivatives for the internal points and the second derivative boundary conditions S''(ti)=0, S''(ts) = 0 b) Use the cubic polynomials presentation in the form at: + bt+ ct + d. c) Plot the entire data and 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 Velocity (v), ft/s Time (t), s 120 564 873 1012 1670 Put your answer in this field: Polynomial#1 = Polynomial#2 = Polynomial#3 = Polynomial #4 = Paste the figure here