Here is the full list of all 16 Impulsow achievements.
Beat sector 2
Collect 10 coins
Get rank S in any sector
Beat sector 1
Beat sector 3
Beat sector 4
Beat sector 5
Beat sector 6
Beat sector 7
Beat sector 8
Beat sector 9
Beat sector 10
Get rank S in 5 sectors
Get rank S in all sectors
Collect 25 coins
Collect all coins