Consider the cannon model developed in the class.a$)$ Using the equations developed and a launch speed of $10\mathrm{.}0$ m$/$s$,$ develop the pseudocode for an algorithmic solution to determine the launch angle required toreach a peak height of at least $2\mathrm{.}5$ meters.b$)$ Using discrete values spaced $5\backslash$deg apart, carry out the algorithmic solution by hand. Report each step in the algorithm in a tabc$)$ Perform an analytic solution for this problem,