trajectory.m

This function is used to evaluate the max height and the max distance of a projectile and plot th

function [hmax,dmax] = trajectory(v0,theta)

% This function is used to evaluate the max height and the max
% distance of a projectile and plot the trajectory.

% Inputs
% v0   : The initial velocity in m/s
% theta: The angle at which the projectile is fired in degrees

% Outputs
% hmax : The maximum hieght in m
% dmax : The maximum distance in m

g = 9.81;
v0x = v0*cos(theta*pi/180);
v0y = v0*sin(theta*pi/180);
thmax = v0y/g;
hmax = v0y^2/(2*g);
ttol = 2*thmax;
dmax = v0x*ttol;

% Create the plot of the trajectory
tplot = linspace(0,ttol,200);
x = v0x*tplot;
y = v0y*tplot - 0.5*g*tplot.^2; %.^2 for element multiplication
plot(x,y)
xlabel('Distance(m)')
ylabel('Height(m)')
title('Projectile Trajectory')

%