Here is the full list of all 27 Impulsion achievements.
Enter the hub for the first time
Unlock the blue gun
Unlock the red gun
Use a blue forcefield to create a path
Reach the level 5
Go through the hard way in the level 7
Reach the level 10
Swing from multiple aerial red zones in a row
Finish the level 13
Reach the level 15
Finish the level 18
Reach the level 20
Overcome a very deadly spinning wall
Go through a series of fans
Reach the level 25
Unlock the final door
Play in Competitive mode
Play in Speedrun mode
Finish a full speedrun
Die 10 times
Die 50 times
Die 250 times
Die 1000 times
Get a performance of rate A
Get a performance of rate S
Finish a level in more than 5 minutes
Retry 100 times