Solve the problem in Example $5\mathrm{.}1$ in our notes by the central difference method, implemented by a computer program in a language of your choice, using $t=0\mathrm{.}1sec.$ Note that this problem was solved as Example $5\mathrm{.}2$ and that the results were presented in Table E$5\mathrm{.}2.$ Repeat by using $t=0\mathrm{.}05sec$ and $\frac{1}{3}sec.$ Compare and comment on your results from using these $t.$ For $t=\frac{1}{3}sec,$ you only need to calculate the response up to $2sec.$

$($Textbook P$5\mathrm{.}3,$ P$5\mathrm{.}4,$ P$5\mathrm{.}6).$