MATLAB: Projectile motion with drag. Im not sure what Im doing wrong here but it tells me the matrix dimensions must agree however I thought that if I use .* it can multiply a scalar and a vector together

mechanical engineering

function projectile_golf 
clear
clc
format long g;
workspace
format compact 
fontSize = 20;
g = 9.81;               % acceleration due to gravity in Y
y0 = 0;                 % intial position y
v0 = 50;                % initial velocity magnitude
Angular_w = 100;        % Angular Velocity (rad/s)
angle = 30;             % angle of strike
c = 4.5*10^(-5);        % Coefficient of drag
r = 21.5*10^(-3);       % Radius of gold ball
m = 46*10^(-3);         % Mass of golf ball 
rho_air = 1.2;          % Density of air 
dt=0.1; 
t=[0:dt:200];
v(1) = v0; % Velocity Magnitude 
Vel = [v0*cosd(angle),v0*sind(angle)- g*t,0]; % Velocity Vector 
FdragX(1) = v(1).*Vel(1).*c;  % Drag force in X direction
FdragY(1) = v(1).*Vel(1).*c;  % Drag force in Y direction
p = [0,0,0];
AccDrag = [FdragX(1)./ m, FdragY(1)./ m, 0]; % F=M*A decceleration due to drag
   
for i=2:length(t)
    v(i) = sqrt((Vel(1)^2)+(Vel(2)^2));
    p(i) = p(i-1) + Vel.*t - AccDrag.*(t^2);
    v(i) = v(i-1);
    Vel = [v(i)*cosd(angle),v(i)*sind(angle)- g*t,0];
    FdragX(i) = v(i).*Vel(i).*c;  
    FdragY(i) = v(i).*Vel(i).*c; 
    AccDrag(i) = [FdragX(i)./m, FdragY(i)./m, 0]; 
end
plot(p)

Best Answer

Perhaps you need to index all vectors by i
p(i) = p(i-1) + Vel.*t - AccDrag.*(t^2);
Vel and t are vectors, so try
p(i) = p(i-1) + Vel(i).*t(i) - AccDrag.*(t(i)^2);
AccDrag is a 3 element vector. I'm not sure which of the 3 values you want to use.
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