$1\mathrm{.}3)$ Read the code from Tao Pang's book $($still listed under ebook on BlackBoard$),$ given below Translate it to Python, run it and plot the output using your favorite plotting software.

Let us use the algorithm that we highlighted earlier for a particle moving along the $x$ axis to show how an algorithm is translated into a program in Java. For simplicity, the force is taken to be an elastic force $f(x)=-kx,$ where $k$ is the elastic constant. We will also use $m=k=1$ for convenience. The following Java program is an implementation of the algorithm given in Eqs. $(1\mathrm{.}7)$ and $(1\mathrm{.}8)$; each statement in the program is almost self$-$explanatory.