Design and Implement $($Use MATLAB for this section$)$

$5.$ For this problem, let us revisit the engineering problem solving, $7-$step process. Imagine that you are designing a simple ball launcher. After quick research, you have identified the projectile motion equations to model your ball's trajectory as the starting point of your design. To get started, you would like to calculate the maximum height that the ball could achieve based on several initial conditions.