Write a program that

reads the initial launch angle

$($in degrees$)$ from user input, converts it to radians $($

$)($store the converted value in a variable named alpha$),$ and calculates the initial velocity components

and

$($which should be stored in variables v$0$x and v$0$z$)$;

calculates the trajectory

and stores the coordinates for time steps

as a nested list trajectory that contains $[[$x$0,$ z$0],[$x$1,$ z$1],[$x$2,$ z$2],...].$ Start from time

and use a time step

s$.$ End the trajectory calculation when the ball has "hit the ground";

calculates how far the ball flew, i$.$e$.,$ that value

for which for the first time the ball touches the ground

$.$ Store the value

in variable x$\_$range and the corresponding

in variable z$\_$range.