The trajectory of the object can be derived from basic physics and is given by the formula:

where is the height, is the horizontal distance in meters, is the initial angle, is the acceleration due to gravity $(),$ is the initial velocity in m$/$s$,$ and is the initial height in meters. The range, $,$ of the projectile is the horizontal distance it travels and can be determined using the formula:

$.$

Write a script to calculate the following three trajectories:

Trajectory$1$: $,$ m$/$s$,$ m

Trajectory$2$: $,$ m$/$s$,$ m

Trajectory$3$: $,$ m$/$s$,$ m

For each value of $,$ generate a row vector of evenly$-$spaced values starting at and ending at the range $.$ Compute the associated row vectors of values and assign the results to the variables named y$1,$ y$2,$ and y$3$ for $,,$ and respectively.