HW$1\_3$ Use fplot for this problem

Make sure to run the command pip install fplot at the console panel to install this package. You would need to do this only once with your computer connected to a stable internet. After that you would need to use import fplot as $fl$ in your code to access the plot function in this library.

Starting from rest, the velocity attained by a falling body of mass $m$ after $t$ seconds of flight is expressed by the following expression:

$v=\sqrt[\phantom{2}]{\frac{gm}{c_d}}tanh(\sqrt[\phantom{2}]{\frac{g{c}_d}{m}}t)$

where the acceleration due to gravity, $g=9\mathrm{.}81\frac{m}{s^2}$ and the drag coefficient $c_d=0\mathrm{.}25k\frac{g}{m}.$

ME$2315$ Computer Aided Analysis Spring $2024$

HW #$1$ due $01/26/2024$

page $2$ of $1$

Find graphically, the mass of the body that reaches a velocity of $35\frac{m}{s}$ after $4$ seconds of flight. To do so$,$ plot the velocity function given above with respect to mass $m$ with value of $t=4s,$ By visually inspecting the plot detect what value of $m$ makes the velocity reach the value of $35\frac{m}{s}.$ Finally, print your findings with a print statement.