F2: Constant Acceleration and Deceleration

if (t <= .5)
  return(4*.5*t*t);
else
  return(-.5 + 2*t - .5 * 4 * (t-.5) * (t-.5));

This curve was accomplished by a simple application of the kinematic equation s = d_0 + v_0*t + (1/2)a*t^2 applied with an acceleration value of four in order to get a distance of .5 in a time of .5, and a deceleration that was equal with the time shifted back to cancel out the initial velocity.

F3: Cosine-Based Animation Curve

return(-(cos(3*t)/2.0 - .5));

This is a simple cosine-based curve with the wavelength, amplitude, and y-axis tweaked to get the proper motion.

F4: Slow Acceleration, Fast Braking

return(pow(cos(t-1),9));

We found this curve by graphing several cosine power curves until there was one that appeared to have proper shape. It was shifted left by half a period in order to make the directionality correct.

F5: Wind Up and Go

float p0=0,
      p1=-.2,
      p2=.5,
      p3=1,
      b;
      float oneminust = (1-t);
       b = p0 * oneminust*oneminust*oneminust +
          3 * p1 * t *oneminust*oneminust +
          3 * p2 * t*t * oneminust +
          p3 * t*t*t;

return(b);

F6: Cubic Bezier Part II

float p0=0,
       p1=.8,
       p2=.9,
       p3=1,
       b;
       float oneminust = (1-t);
        b = p0 * oneminust*oneminust*oneminust +
           3 * p1 * t *oneminust*oneminust +
           3 * p2 * t*t * oneminust +
           p3 * t*t*t;

 return(b);	

F7: Stop and Go

To make a stop and go, simply create two points that are on the same vertical line, and repeatedly smooth using "S" until the line between them is nearly vertical. The car will now stop in the middle and go again.