$(30$ points$)$ Two rockets are launched vertically. At time $t=0,$ the rockets' engines shut down.

At that time, the first rocket has reached an altitude of $300m$ and is rising at a velocity of $120$

$\frac{m}{s},$ while the other rocket has reached an altitude of $750m$ and is rising at a velocity of $325$

$\frac{m}{s}.$ Gravity then takes over. The heights of the rockets as a function of time can be

calculated from

$h(t)=-\frac{9\mathrm{.}8}{2}{t}^2+($ velocity $)xt+$ altitude for $t>0$

Write a script M$-$file that performs the following.

a$)$ Create a function handler $($one for each rocket$)$ that accepts time as an input and returns the

height of the rocket.

b$)$ Using fplot, plot height versus time for times from $0$ to $2$min for both of the rockets on the

same plot. The first plot should be in magenta dashed lines, and the second plot should be in

blue dash$-$dotted lines, both with a line width of $1\mathrm{.}5.$ Add a title, legend and labels to your

graph.