$1\mathrm{.}2($b$)-$ Perform two steps of the calculations $($results for t $=0\mathrm{.}5$ and $1\mathrm{.}0$ s$)$ by hand showing your work. Perform a complete simulation using a well$-$structured Python code and a time$-$step of $0\mathrm{.}5$ s$.$ Print the numerical results at each time$-$step. You may utilize the scripts provided in class with citation.