Assuming that drag is proportional to the square of velocity, we can model the velocity of a falling object like a parachutist with the following differential equation: dv$/$dt$=$g$-[($Cd$)/$m$]*$v$^2$ where v is the velocity $($m$/$s$),$ t$=$time$($s$),$ g is the acceleration due to gravity $(9\mathrm{.}81$m$/$s$^2),$ Cd is a second order drag coefficient $($kg$/$m$)$ and m$=$mass $($kg$).$ Using $3$rd$-$order Runge$-$Kutta method, solve for the velocity and distance fallen by a $90$kg object with a drag coefficient of $0\mathrm{.}225$kg$/$m$.$ if the initial height is $1$km$,$ determine when it hits the ground. you must solve the problem for $3$ timesteps using manual calculatoins and use a matlab code to find the final answer for the time taken by the object to hit the ground. Note that the code provided by the instructor can be used.