Consider the cannon model developed in the class.

a$)$ Using the equations developed and a launch speed of $10\mathrm{.}0\frac{m}{s},$ develop the pseudocode for an algorithmic solution to determine the launch angle required to

reach a peak height of at least $2\mathrm{.}5$ meters.

b$)$ Using discrete values spaced $5$ apart, carry out the algorithmic solution by hand. Report each step in the algorithm in a tab

c$)$ Perform an analytic solution for this problem, and compare the result with your algorithmic solution.