Determine scope of calculus techniques required for this engineering application $($Projectile$)$:

$1.$ Identify the calculus technique required for the Projectile scenario. $($PC$1\mathrm{.}1)$

$2.$ Develop systematic methods to layout the calculus solution based on the techniques identified in Q$1.$ Identify sources for professional and technical assistance if required to solve the problem. You are required the external $($engineer$)$ sign$-$off of the solution. $($PC$1\mathrm{.}2,1\mathrm{.}4)$

$3.$ Identity an appropriate software tool that could be used to provide calculus solution for the above scenario. Provide the solution using the software tool. $($PC $1\mathrm{.}3)$