$An$ object with mass $162kgis$ given $an$ initial downward velocity $-3\frac{m}{s}in$ a medium that

exerts a resistive force with magnitude proportional $to$ the square $of$ the speed. The resistance

$is80N$ when the velocity $is-2\frac{(m)}{(s)}.$ Use $g=10\frac{(m)}{s^2}$

$a.$ Write out a differential equation $in$ terms $of$ the velocity $v,$ and acceleration $a$

$b.$ Find the velocity $v(t)$ for the object,

$c.$ Upload a document with the work for parts a and $b$ and a computer generated graph $of$ the

solution.

$d.$ State and interpret the end behavior for the solution found $in$ part $b.$PLEASE USE BERNOULLIS EQUATION FOR PART $B$