Free-falling body with parachute: air-drop load

This simple second-order system can be used to model a set of large linked loads being air-dropped from an airplane. The problem could be to determine the optimum height and para-chute parameters to safely drop the linked loads in the shortest time.

Help me with these questions based on this:

i. Write a short introduction to the subject. The introduction will include：

•set some general context for your project

• outline the specific ODE system/problem you wish to solve

•outline the reasons for using numerical methods

• outline the aims of your project and the structure of your report

ii. explain the numerical approach to solving ODEs.

Theoretical concepts and practical aspects of numerical methods to explain this problem for second-order ODE initial value problems. Applications use Euler's and Heun's methods, including a description of the Runge-Kutta method and, in particular, the classical fourth-order RK method (RK4). Use of c and python code to demonstrate the general principles of each numerical method.

iii. Develop c and pyton code to find a solution to a problem. Develop fast and efficient algorithms as well as c and python code to find a solution to the ODE system of my choice.

iiii. clearly present the results of your numerical solution and discuss how the results relate to the original problem.

   

2. Complete Task 1 in the A2 assessment brief to write a brief introduction to your project. Your introduction should: set some general context for your project outline the specific ODE system/problem you wish to solve outline the reasons for using numerical methods outline the aims of your project and the structure of your report