ROOT FINDING AN UNKNOWN FUNCTION

On Canvas you will find a file called hitTheSpot.m$.$ This is a function file. If you download it and put it in your main Matlab directory, it gives you access to a new function in Matlab that I've written. I'll describe the function below:

hitTheSpot $(v,)$ models the trajectory of a projectile that has initial speed $v($in $\frac{m}{s})$ and initial angle $($in degrees$)$ between its velocity and the horizontal $.$ This model includes air resistance, so it involves some complicated math. The function returns a single scalar value, which is the distance the projectile travels before it hits the ground $($in meters$).$ This distance is called the range.

a$)$ I would like you to use a root finding method $($of your choice$)$ to find the appropriate speed $v$ to launch a projectile at a range of $200$ meters. For this part of the problem, I would like you to solve the problem for $=30.$

b$)$ Use a root finding method of your choice to find both angles you could fire a projectile with a speed of $80\frac{m}{s}$ to hit a target $200$ meters away. This will require two sets of initial guesses