Determine the drag coefficient $c_d$ needed for a parachutist of mass $m=68\mathrm{.}1kg$

to have a velocity of $40\frac{m}{s}$ after free$-$falling for time $t=10s.$ Assume the

acceleration due to gravity is $9\mathrm{.}8\frac{m}{s^2}.$

$v(t)=\frac{gm}{c_d}[1-e^{-(\frac{c_d}{m})t}]$

Use the approximate error as the exit criterion with a tolerance of $0\mathrm{.}001$

If the last digit of your Student ID is an even number, use Newton$-$Raphson

method $(2023-103528)$ THIS IS THE STUDENT NUMBER

If the last digit of your Student ID is an odd number, use fixed$-$point iteration

For your solution, show only the first round of calculations, and then a table of all

the values, then your final answer. Make sure to box your final answer with the

correct units. $(20$ points$)$