$3\mathrm{.}3$ Suppose a ball is dropped from a height of $3$ meters onto a hard surface and the coefficient of restitution of the collision is $91($see Wikipedia for an explanation$).$ Write a well$-$commented script program to calculate the total distance the ball has traveled when it hits the surface for the $n-$th time. Enter: format long. By trial and error approximate how large $n$ must be so that total distance stops changing. Turn in the program and a brief summary of the results. $($This program does not use Newton's method. It should be modeled on mysum.m$.)$