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Problem 2
The general code is presented below
clear;
clc;
%% Provided expressions
a = 8;
b = 5;
ms=50+(a*10);
g=9.81;
rho=1.091;
r=0.5+(a/10)+(b/20);
A=pi*r^2;
ve=325+(a*10)-(5*b);
CD=0.15;
mp0=100+(5*a)+(2*b);
%% Main code
v=zeros(201,1);
h=zeros(201,1);
count=1; %loop variable
for T=0:0.1:20
    % Calculating mp first
    N=10001; %number of divisions
    t=linspace(0,T,N);
    %the mpdot function
    if T<=5
       mpdot(1,1:numel(t))=20;
    else
       mpdot(1,1:1+((N-1)/2))=20;
       mpdot(1,2+((N-1)/2):numel(t))=0;
    end
    mp=trapz(t,mpdot); %using the trapz function to calculate mp
    v(count+1)=v(count)+(0.1*(-g+((mpdot(numel(mpdot))*ve)/(ms+mp))-(0.5*rho*((v(count))^2)*A*CD/(ms+mp)))); %Eurler's method
    h(count+1)=h(count)+0.1*(v(count)); %Euler's method
    count=count+1;
end...

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