Available for you to use in this problem is the following function:

function $[$root$,$err$\_$approx,iter$]=$ bisection$(f,xl,xu,$ err$\_$stop, maxiter$)$

Recall that the formula for the velocity of a bungee jumper from Section $2\mathrm{.}1$ is:

$v(t)=\sqrt[\phantom{2}]{\frac{mg}{c}}tanh(\sqrt[\phantom{2}]{\frac{cg}{m}}t)$

Note that $v(t)$ is the velocity of the jumper, $g$ is the acceleration of gravity, $m$ is the mass of the jumper, and $c$ is the $($simplisitic$)$ drag coefficient for air resistance.

Write a script that uses the bisection function to estimate the drag coefficient needed for a $95-$kg bungee jumper to have a velocity of $46\frac{m}{s}$ after $9$ sec of free fall, the approximate relative

percent error, and the number of iterations needed. Start with initial guesses $xl=0\mathrm{.}2$ and $xu=0\mathrm{.}5,$ and continue until the approximate relative percent error falls below $5\%.$ Assume

$g=9\mathrm{.}81\frac{m}{s^2}.$

Requirements:

Assign the following variables to the given values: $m=95,v=46,t=9,$ and $g=9\mathrm{.}81$

Create an anonymous function you will use to solve this problem.

Assign the variable root to the solution of the problem.

Assign the variable err$\_$approx to the approximate relative percent error after the solution is found.

Assign the variable iter to the number of iterations needed until the error fell below the threshold.