This is an interesting concept! Having to move the level to make the player get through it really fits the out of control theme.
I had fun solving the puzzles, but I will say that either there should be like a tetris prediction thing that shows us where they'll face next, OR the rotation should be much faster so the player has time to correct the trajectory. It was more frustrating then fun being very close to the end, only for them to turn around and some how leave the room and die.
Also, the simple shapes look really nice, and I love the colors.
Overall, great job!