If you don't have a buddy to boost with, it's very simple in public match.
Make sure you are playing as the Solarll faction as playing as the survivors is a total joke when it comes to ascending.
Just simply wait at the bottom of a zip line, wait till someone wounds you, tap 'A' to jump up on to the zip line there will be a prompt when underneath the zip line.
As soon as you grab it press 'X' and you will zip up at super speed.
*Note, you do not need to fully ascend or heal after ascending, the third and last time I ascended I got the achievement half way while zipping up the line.
*Another thing to add is, this does not need to be done in a 'single match' (As the achievements implies). I got 2 in one match checked the achievements progress, and it showed 2/3. Then did another match, did it once, and boom achievement popped.