Q$1.$ The equation for free$-$falling body near the earth surface are given as follows:

$v(t)=\frac{mg}{c}(1-e^{-(\frac{c}{m}{)}^t})$

Use the graphical approach to determine the mass of the bungee jumper with a drag

coefficient of $c=4k\frac{g}{m}$ to have a velocity of $v=36\frac{m}{s}$ after $t=4s$ of free fall. Note: The

acceleration of gravity is $g=9\mathrm{.}81\frac{m}{s^2}.$

Write MATLAB script to plot the graph and locate the root. Use table to find out

approximate root with ${}_a$ should be less than ${}_s$ for three significant figures.