You will write a script $(.$mlx$)$ to calculate and plot the x$,$y coordinates of a projectile $($see basic physics equations below$).$ Here are the requirements

$1.$ The user will input the starting velocity $($from $10-50$ m$/$s$)$ and angle $($in degrees from $1-89)$

$2.$ The script will determine how long the projectile is in the air, then divide that time into at least $50$ internals

$3.$ The script will calculate the initial y velocity and the x velocity $($x velocity is constant in this type of motion$)$

$4.$ The script will calculate the x & y location for each time point from #$2$ using velocities from #$3$ and physics relationships below

$5.$ The script will plot both x vs t and y vs t with each plot having properly labeled axes and showing data both as point markers and a line

$6.$ The script will ask the user to identify the maximum y height from the y vs t plot $($and check with calculation$)$

$7.$ The script will have adequate commenting$/$documentation such that any classmate could run and modify the script easily

Bonus $-$ if your script checks if the input velocity and angle are within bounds and errors$/$makes them re$-$input if incorrect

Physics equations nkjkj

initial velocity in y $($vy$\_$initial$)=($input velocity$)*$ sin $($input angle$)$

velocity in x $($vx$)=($input velocity$)*$ cos $($input angle$)-$ velocity in x is constant in this type of motion

total time projectile is in the air t $=2*$ vy$\_$initial$/9\mathrm{.}81$

x displacement x$($t$)=$ vx$*$t

y displacement y$($t$)=$ vy$\_$initial $*$ t $-4\mathrm{.}9*$t$^2$

max y height $=($vy$\_$initial$)^2/(2*9\mathrm{.}8)$