Drawing array of curves from PVector

Processing Coding Questions
5

Thank you so much for your help :]

Your code is wonderful, but has totally different structure than mine.
Could you please explain it a bit?
For instance, if I want to map a big noise field to draw it on, or an image to follow, how can I apply it with this code?
I tried to do that here, but it results in particles moving in circles.

    //add some wander to the particle to make it more interesting
    float heading = 2 * map(noise(this.acc.x/500,this.acc.y/500),0,1,-1,1);
    this.vel = new PVector(cos(heading),sin(heading));
    this.addForce(cos(heading), sin(heading));

Also, using this just made me so confused…