$($a$)$ Describe the solution algorithms used for the Newmark Average Acceleration, Firstly, generate an Excel spreadsheet to apply the proposed algorithms to verify the obtained results as given in examples under the applied excitation force. You can find the analysis results in the textbook of this lecture $($Dynamics of Structures$)$ at page $159.$ You are obligated to develop the equations to get the analysis results.

$\backslash$table$[[t,0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3,0\mathrm{.}4,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8,0\mathrm{.}9,1],[P(t),0,5,8\mathrm{.}6602,10,8\mathrm{.}6603,5,0,0,0,0,0]]$