For thoses still fighting for the hard badge here you got a few basic tips:
-The propeller can hit the walls.
-You can get the perfect badge and the fast badge separately.
-Dont underestimate the rotation, specially in the 8 level, "fantastic" i'm sure it can be done without even touching the rotate buttons but it helped me to do it faster.
A little trick to do the challenge. Stay in a corner, get the pointer of the mouse out of the game and close to another corner. If a ball will hit you get the pointer of the mouse in the second corner and you will teleport there unharmed.
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