function [road] = makeroad(height, length, velocity)
% function [road] = makeroad(height, length, velocity)
%
% Generates a section of road given parameters.
%
% Returns a single matrix consisting of two columns.
% The second column should be the road height, and 
% the first column should be the time at which the 
% car reaches that point in the road, assuming a 
% constant velocity.
%

dt = length / velocity;

time = linspace(0, dt);
time = time';
rh = height/2 * ( 1 - cos( 2*3.1415926 * time / dt ));

road = [ time rh ];