% parametric2D.m
% A program to explore parameteric forms of lines in 2D

clear all;
close all;

x0 = [0 0]'; % initial position
x1 = [1 0]'; % initial velocity
x2 = [0 1]'; % initial acceleration
x3 = [0 -0.11]'; % initial rate of change of acceleration
%x3 = [-0.007 0]';   % uncomment the line 

s = -3:0.5:10; % pretend s is a time parameter

% compute a set of points
p = repmat(x0,1,length(s)) + x1*s + x2*(s.^2) + x3*(s.^3);

% draw the points, and their connecting lines
figure;
axis equal;
plot( p(1,:), p(2,:), 'ko', p(1,:), p(2,:), 'k-' );