H$9.$ I need MATLAB code. Show all work. Will thumbs up$.$ An airplane uses a parachute and

other means of braking as it slows

down on the runway after land$-$

ing. Its acceleration is given by

$a=-0\mathrm{.}0035v^2-3\frac{m}{s^2}.$ Since

$a=\frac{dv}{dt},$ the rate of change of the

velocity is given by:

$\frac{dv}{dt}=-0\mathrm{.}0035v^2-3$

Consider an airplane with a velocity of $300k\frac{m}{h}$ that opens its parachute and

starts decelerating at $t=0s.$

$($a$)$ By solving the differential equation, determine and plot the velocity as a

function of time from $t=0s$ until the airplane stops.

$($b$)$ Use numerical integration to determine the distance $x$ the airplane travels

as a function of time. Make a plot of $x$ versus time.