(a) Plot the velocity v versus time t from 0 to 30 s. Add labels and grid. Use MATLAB fplot

function.

(b) Define a vector t from 0 to 30 with step size 3 and find the corresponding values of v.

Display the results in columns where first column is time t and second column is the

corresponding value of v. Use disp command.

c) Determine how high the rocket will fly in 30 s using Trapezoidal rule with n = 1, 2, 4, 6,

. . . , 20. You can use the function trap but you have to know how to use it and how it

works.

(d) Determine how high the rocket will fly in 30 s using Simpsons 1/3 rule with n = 2, 4, 6,

. . . , 20. Use the function simpson13.

(e) Determine how high the rocket will fly in 30 s using Simpsons 3/8 rule with n = 3.

(f) Determine how high the rocket will fly in 30 s using Romberg methods with s = 0.005%.

What is the order of accuracy of the achieved result. Use romberg function.

(g) Determine how high the rocket will fly in 30 s using two and three-point Gauss quadrature.

(h) Determine how high the rocket will fly in 30 s using MATLAB quad function.