Tracing the Rigid body path even before collision

Hello,
i am making a 8 ball pool game. So lets suppose i am hitting all “A” with a white ball. Even before the white ball stricking ball “A”, i want to know the path ball A takes(indicated by dotted lines probably) when we hit. That path should change dynamically on changing angle with which the white ball is hitting the ball A. Please help me.

You probably want something like this

Thank you so much!! that really gave me something to start with.