8) Write a MATLAB program that uses the Bungee jumper iterative equation:
$v_{i+1} = v_i + \left( g - \frac{c_d v_i^2}{m} \right) \Delta t$
to generate 4 plots of velocity (in m/s) versus time from 0 to 25 seconds. The 4 plots will correspond to time
steps of 3, 2, 1, and 0.5 seconds, respectively. Use $c_d = 0.25$, $m = 68.1$, $g = 9.81$. Also include on the same
figure a plot of theoretical velocity vs. time using the equation:
$v = \sqrt{\frac{gm}{c_d}} \tanh\left( \sqrt{\frac{g c_d}{m}} t \right)$
In the figure generated by the plot, include MATLAB commands to generate a title, axis labels (xlabel and
ylabel), a legend, and grid lines (grid). The resulting MATLAB plot will show five curves of different color on
the same figure: