Question 1 (for loop) . Plot the response x(t) of an underdamped system with e, 2 rad/s, -0.1, and -0 for the following initial displacements: xo 1 mm, x,5 mm, xo 10 mm, and xo-100 mm. 0≤t≤ 10 sec with 0.01 sec increment. Put x-axis title, y-axis title, graph title and legend. Note that: The displacement for a free under-damped system: x(t) =Aent sin(wat + ) Where A = (vo+ {wnxo)² + (xowa)2 wa² Xowd tan (- The damped natural frequency: = √1-32 Question 2 (ode45) Solve -+x=0 with x = 1 and 0 for x(t) and sketch the response. a. Firstly, transform the equation of motion into 1st Order Differential Equations. (This part can be handwriting or write it on a Word document). b. Using MATLAB, create a Function then create a Script to find x(t) and v(t) for 0 t≤10 sec with 0.01 sec increment. Page 1 of 2 c. Plot x(t). d. Plot v(t) using a new figure. e. Open a new figure, plot both x(t) and v(t). Put the legend of the graph. f. Using subplot, plot x(t) and v(t). Add a title for each subplot.