Snooker/Pool AI Predicting end location of cue ball Unity

I’m trying to implement a pool/snooker game. I figured the best way to implement the ball movement/potting mechanics is to use the physics simulation, apply an impulse to strike the cue ball and let the simulation deal with the rest. This seems straight forward enough but I have no idea where to start with the AI. For the AI to be anywhere near convincing it will need to consider the position of where the white ball will end up when planning what shot to play. Can anyone offer any advice on how I can predict where the white will end up when working with the physics engine? Or does this requirement make using physics a really bad idea?