E 72 NJIT Mechanical Engineering Traveling Along a Zipline Exercise

I’m working on a mechanical engineering project and need a sample draft to help me study.

I am working on another Matlab and engineering assignment, this time about zip-lines. It is a fairly open ended assignment asking you to come up with the optimal vertical drop andtension for the wire rope such that with no wind for a zip-line given with governing differential equations and different weight conditions. I would love the exercise completed with the extra credit. Attached is a reference paper giving the zipline equations, the starter Matlab code, and the homework assignment instructions. There is also a link from class for homework hints: https://sites.google.com/view/e72ziplinehints/home. Please both provide the code but also handwritten work solving equations as well as explaining the process of the solution.