Animation?

Hi

I want to do certain animation, but I don’t know how.
I tried to search a tutorial, but because my native language is not
english I couldn’t find what I was looking for.

I hope someone can help me find a tutorial(or give some instructions) for doing this: I have one object center of the screen and I want to move around it freely with mouse cursor.

Is this even possible to do?

Thank you
-Puska