A relatively straight forward trophy that just requires you to survive long enough during the punishment mini-game until you reach 50,000 points.
To access this mini-game just fail any request and you will be transported to a simple game where you need to dodge falling rocks launched at you by the King/RoboKing.
A great way to boost this is to play the Hot Stuff request found in the King's Cosmos. This is the stage where you need to collect hot items and avoid cold ones. Just speed over to a group of cold items and collect them, this should make for a quick fail.
Once the mini-game starts make sure to lose your first two lives as this will make dodging the rocks easier. Also, if you were to get hit while still having more than one life it will slow down your point accumulation.
After you are left with one life walk over to the right side of the screen and you should be able to just stand there. Most rocks will miss you, but some can still hit so make sure to move out to the left every now and again if you see one coming.
I hope this helps and have fun!!