Follow the steps below to complete your program.

Create Script File. Open MATLAB and navigate to the directory location where you wish to save

your work. Begin a new script file by typing CTRL$-$N or by clicking the 'New Script' button. Save

your script file as 'Week $8$ Program',

Create Variables. Using the input command, prompt the user for $m,c,k,x_0,$ and $v_0.$

Solve the Equation of Motion. In a separate function file, solve the equation of motion using one

of the four solution forms described above. This should be done with a decision structure of your

choice $($i$.$e$.\text{'}$if$\text{'},$ 'switch', etc.$)$ Inputs to your function should include the five variables collected in the

previous step. Outputs from the function should include a vector containing mass position, a vector

containing time, and a string variable containing the type of system $($overdamped$,$ underdamped,

etc.$)$ Note that the time required to capture the entire response will vary; consider making the

length of your time vector dependent on the inputs. After the function runs, display a message in the

command window using fprintf that states the type of system, e$.$g$.$ "System is underdamped."

Plot Results. Using another input command, create a prompt to ask the user if a plot of the

results is desired. If yes, the program should call a second function that plots time versus mass

position. Please remember to label your axes. Note that the call to this function will not return any

outputs.

Write Results. Using another input command, create a prompt to ask the user if writing the

results to a spreadsheet is desired. If yes, the program should call a third function that does the

following:

Creates a filename containing the type of system, e$.$g$.$ "ResultsUnderdamped.xls$".$

Checks to see if the file already exists; if yes, asks the user if the existing file should be over$-$

written; if the user selects $\text{'}$no$"$ then they should be prompted for a new filename.

In cells A$1-$ A$5,$ write labels for the five initial variables.

In cells B$1-$ B$5,$ write the values for the five initial variables.

In cells A$6$ and B$6,$ place the labels "Time" and "Position", respectively.

Write your time and position data points to the spreadsheet file starting in cells A$7$ and B$7,$

respectively.

Re$-$Run Program. Using a while loop placed around all the code in your main script, provide

the ability for the user to re$-$run the program.

File Upload and Interpretation. Upload your script file, your function files, and a representative

results spreadsheet in Canvas using the link provided. In the Canvas comments box, provide a brief

description of your findings.