projectile.m

function h = projectile(v_mag,theta)
% The purpose of this function is to calculate the height that a dart will
% hit a wall with a given initial velocity and angle
g = -9.81;                      % Gravitational acceleration of the earth (m/s^2)
vel_x = v_mag*cos(theta);       % X velocity of the dart
vel_y = v_mag*sin(theta);       % Y velocity of the dart
t = 2.37/vel_x;                 % Finds time that dart is in the air
h = 1.72 + vel_y*t + .5*g*t^2;  % Finds the height the dart hits the wall at
fprintf('The height of the dart is %i \n', h);
% The following code graphs the path of the dart over time utilizing the h
% equation found above.
%{
t_graph = linspace(0,t,30);
position = 1.72 + vel_y.*t_graph + .5*g.*t_graph.^2;
plot(t_graph, position);
axis([0, t, min(position)-.05*min(position), max(position)+.05*max(position)]);
title('Position of a Dart over time');
xlabel('t_{seconds}');
ylabel('h_{meters}');
%}
end