projectileV2.m

function [ height ] = projectileV2( v_mag,theta )
%Pojectile (Calculate the height of a dart projectile)
%   Input variables velocity and theta are used to find final height. 
%--------- Assign Constants -----------------------------------------------
d = 2.37;                               %distance to dartboard
h0 = 1.72;                              %initial height of dart
a = 9.81;                               %acceleration due to gravity
%--------- Operations -----------------------------------------------------
vx = v_mag*cosd(theta);                 %calculate x-component of velocity
vy = v_mag*sind(theta);                 %calculate y-component of velocity
x = linspace(0,d,d*100+1);              %create row vector for x values
t = x/vx;                               %calculate time at given x value
height = h0+vy*t+0.5*-a*(t.^2);         %calculates height for given time
%--------- Plot of Data -----------------------------------------------
set(0, 'defaultAxesFontSize',16)        %set defaults for text in plot
set(0, 'defaultTextFontSize',14)
set(0, 'defaultLineLineWidth',3)

plot(x,height,'c')                      %Plot x vs height  
xlabel('X-Position of Dart (meters)')   %Labels for axis and title
ylabel('Dart Height (meters)')
title('Projectile Path of Dart')
xlim([0,d])                             %Limit domain to [0,d]
end