How to do the tutorial quickly without using glitches (v3):

1. Right when the level starts, shoot bullets at the corner of the level to get yourself to max speed quickly. Also at the start of the level, hold S and D to do down-right, make sure to let go of d for a bit so that you don't crash into the first wall, but go around the corner. Stop shooting when you get to the corner.
2. When you get to the corner of the first wall, shoot a bullet at the bottom-right corner of the rightmost hole tile. This will cause the bullet to ricochet and hit the isolated dummy tank. Do this while rounding the corner without stopping.
3. Go slightly in front of the first wall and shoot at a static point directly behind you on the wall continuously to boost yourself, travelling to a point between the 2 rightmost dummy tanks.
4. About 1.5 tiles from the wall and between the 2 right tanks, place a mine. Go to the wall and a bit up or down just enough so that your tank doesn't get blown up, and shoot at the earliest time to blow both the wall and the 2 remaining dummy tanks up. Go through the hole in the wall, which should be close to your tank.
5. Shoot the 2 remaining dummy tanks and keep shooting in their direction.
6. Go to the right side of the next room, shooting the brown tank on the way. There is a small chance that the grey tank will be close enough to the wall that you can blow it up from the other side of the wall with the mine. If this happens, stop shooting when you get to the wall, place a mine against the wall on the other side of the wall from the grey tank, get far enough from the time so that you don't kill your own tank when it explodes, and shoot the mine. The grey tank isn't usually close enough to the wall and the player to do this quickly, or at all, and it'll take a few extra seconds, but you can get into the grey tank's space using the same method as was used to get through the first wall or a different method in order to destroy the wall, then you can shoot the grey tank.