In the below example I have created a  Accelerate image function. Here I have added Button and ImageView in activity_main.xml layout then I have created new directory (anim). In anim directory I have created accelerate_decelerate.xml layout and in MainActivity I have used AnimationUtils.loadAnimation function setOnClickListener method. You can see below program it will clearly describe you to Accelerate  image in android.

Step(1)activity_main.xml-
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    android:orientation="vertical" >


    <LinearLayout
        android:layout_width="fill_parent"
        android:layout_height="fill_parent"
        android:orientation="horizontal">
        <LinearLayout
            android:layout_width="wrap_content"
            android:layout_height="fill_parent"
            android:orientation="vertical"
            android:gravity="bottom"
            android:layout_margin="30dp">
            <ImageView
                android:id="@+id/image"
                android:layout_width="wrap_content"
                android:layout_height="wrap_content"
                android:layout_gravity="center"
                android:src="@drawable/one"/>
        </LinearLayout>
        <LinearLayout
            android:layout_width="fill_parent"
            android:layout_height="fill_parent"
            android:orientation="vertical">
            <Button
                android:id="@+id/acceleratedecelerate"
                android:layout_marginTop="20dp"
                android:layout_width="190dp"
                android:layout_height="wrap_content"
                android:background="@color/colorAccent"
                android:text="Click button"/>
            </LinearLayout>
        </LinearLayout>
    </LinearLayout>

    Step(2)-MainActivity-
    public class MainActivity extends AppCompatActivity {

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        final Animation animAccelerateDecelerate = AnimationUtils.loadAnimation(this, R.anim.accelerate_decelerate);
        final ImageView image = (ImageView)findViewById(R.id.image);
        Button btnAccelerateDecelerate = (Button)findViewById(R.id.acceleratedecelerate);
        btnAccelerateDecelerate.setOnClickListener(new Button.OnClickListener(){

            @Override
            public void onClick(View arg0) {
                image.startAnimation(animAccelerateDecelerate);

            }});
    }

    @Override
    public boolean onCreateOptionsMenu(Menu menu) {
        // Inflate the menu; this adds items to the action bar if it is present.
        getMenuInflater().inflate(R.menu.menu_main, menu);
        return true;
    }

    @Override
    public boolean onOptionsItemSelected(MenuItem item) {
        // Handle action bar item clicks here. The action bar will
        // automatically handle clicks on the Home/Up button, so long
        // as you specify a parent activity in AndroidManifest.xml.
        int id = item.getItemId();

        //noinspection SimplifiableIfStatement
        if (id == R.id.action_settings) {
            return true;
        }

        return super.onOptionsItemSelected(item);
    }
}

Step(3)-In anim directory I have created accelerate_decelerate.xml layout-
<?xml version="1.0" encoding="utf-8"?>
<set xmlns:android="http://schemas.android.com/apk/res/android"
    android:interpolator="@android:anim/accelerate_decelerate_interpolator">
    <translate
        android:fromYDelta="-100%p"
        android:toYDelta="0"
        android:duration="2000"/>
</set>