a$)$ Create a working copy of the Euler function using MATLAB or Python MATLAB.

Upload a copy of your function to Crowdmark.

$($b$)$ Use Euler to solve the differential equation using m $=75\mathrm{.}3$ kg$,$ c $=13\mathrm{.}1$ kg$/$s and

initial conditions v$(0)=0$ on the time interval $[0,16]$ using $40$ time steps and for a

free$-$falling body on Venus where the gravitational constant is g $=8\mathrm{.}87$ m$/$s$2.$

$($c$)$ Using the same parameters from Q$1($b$)$ calculate the corresponding velocities using the

analytic solution. That is$,$ create a function for the formula,

v$($t$)=$ gm

c $(1$ e$$ ct

m $)(1)$

and run it for t $=[$t$0$ : h : tn$].$

$($d$)$ What is the terminal velocity of this free$-$falling body of mass $75\mathrm{.}3$ kg on Venus? $($You

may approximate this roughly with experimental results from your function or solve it

analytically.$)$