public class IntegrateVelocity {

    public static void main (String[] argv)
    {
        // Compute velocity function as before.
        Function velocityCurve = new Function ("velocity");
        for (double end=0.1; end<=10; end+=0.1) {
            double finalVelocity = computeFinalVelocity (4.9, 0, 0, end, 0.1);
            velocityCurve.add (end, finalVelocity);
        }

        // Compute distance at t=5:
        double finalDistance = computeFinalDistance (velocityCurve, 0, 0, 5, 0.01);
        System.out.println ("t=5  d=" + finalDistance);

        // Compute distance at t=10:
        finalDistance = computeFinalDistance (velocityCurve, 0, 0, 10, 0.01);
        System.out.println ("t=10  d=" + finalDistance);
    }
    

    // This is the same as before.

    public static double computeFinalVelocity (double a, double initialVelocity, double initialTime, double endTime, double s)
    {
        double v = initialVelocity;
        double t = initialTime;

        while (t < endTime) {
            // Update velocity:
            v = v + s * a;
            // Update time:
            t = t + s;
        }

        return v;
    }


    // This is similar to how we computed velocity.

    public static double computeFinalDistance (Function velocity, double initialDistance, double initialTime, double endTime, double s)
    {
        double d = initialDistance;
        double t = initialTime;

        while (t < endTime) {
            // Update distance:
            double v = velocity.get (t);
            d = d + s * v;
            // Update time:
            t = t + s;
        }

        return d;
    }


}