Game Development: How to add acceleration to velocity?

I have a View which I need to scale with an acceleration, I mean, that when the scale is MIN_SCALE, the velocity must be slow, but when the scale is near of MAX_SALE, the velocity must be more fast. Now my velocity is always the same.

There is a number of frames that the View will use to do it's movement:

numberOfFrames = Math.round((float)ANIMATION_TIME/GameLoopThread.FRAME_PERIOD);
frameCount = 0;

and I calculate the scaleVelocity with that number of frames:

scaleVelocity = (MAX_SCALE-MIN_SCALE)/numberOfFrames;

Each game loop iteration, I update the scale of the view with this code:

if (frameCount<numberOfFrames) {
    currentScale = currentScale + scaleVelocity;
    frameCount++;
}

When frame count has reached the numberOfFrames the animation must end.

How can I add acceleration to this code? take in mind that the acceleration must respect that the view needs to reach the MAX_SCALE at last frame from the frameCount variable.

Define your interpolator

INTERPOLATOR = new AccelerateInterpolator();  

while calculating scaleVelocity, get current interpolated value

float interpolatedValue = INTERPOLATOR.getInterpolation(frameCount / numberOfFrames);

getInterpolation() returns a value between 0(start of animation) and 1(end anim)

scaleVelocity = (MAX_SCALE-MIN_SCALE)/numberOfFrames * interpolatedValue;  // use min,max func if needed.

mathematical equation of accelerate interpolator is f(x) = x², if you want greater change then create your custom interpolator.

working test method for animation.

 private void testAnim() {
    int numberOfFrames = 100;//Math.round((float)ANIMATION_TIME/GameLoopThread.FRAME_PERIOD);
    float frameCount = 0;
    float MAX_SCALE = 4;
    float MIN_SCALE = 0.1f;
    float scaleVelocity;
    float currentScale ;
    Interpolator INTERPOLATOR = new AccelerateInterpolator();

    do {
        float interpolatedValue = INTERPOLATOR.getInterpolation(frameCount / numberOfFrames);
        scaleVelocity = (MAX_SCALE - MIN_SCALE) * interpolatedValue;

        currentScale = Math.max(MIN_SCALE, scaleVelocity);
        ++frameCount;
        Log.d("STACK", "testAnim: currentScale = " + currentScale);
        // apply scale to view.
    } while (frameCount < numberOfFrames);

    // finally set final value of animation.
    currentScale = MAX_SCALE;
    // apply scale to view.

}