Bagatelle is essentially a giant Plinko board with filled with obstacles, coins, powerups and hazards.
This achievement is heavily luck based.
For one, each stage seems to be somewhat randomly generated. Having said that, it is beneficial to keep restarting until you get a board with lots of bumpers and such that can keep you airborne.
Next, you will want to limit the number of players on the board. Ideally, you just want to concentrate on only one. You need at least two players to start, but avoid dispatching the second player or drop him/her on the opposite end of the board to avoid destroying bumpers.
If you are lucky, you will see some green, snakelike things make their way across the board. If you can hit the head, all the green pellets that made up the body will now become stationary bumpers.
And finally (and most importantly) you can repress the button as your falling to activate a pulse attack. Generally, this is used to destroy nearby players or hazards. However, you can use it as you are about to hit a bumper and the resulting shockwave can send you flying (hopefully in a general upwards motion).
Basically you will keep restarting, dropping your character, use the pulse attack to add a few extra precious seconds, and hope for the best.