Yes: https://support.chess.com/customer/en/portal/articles/1444851-why-are-there-three-different-ratings-in-live-chess-
how is blitz vs rapid defined here ?

if that were true then why was the 10/5 game classified as Rapid? Assuming 40 moves per game as suggested adds 3.3 minutes to the 10 standard minutes for a total time which is less than "Rapid rating - For games 15 minutes and longer" as stated in the link provided.
Seems like Chess.com has changed the time controls or publish erroneous information ?

Your're right, must have changed during the last 7 days. Rapid starts now at >10 minutes.
I did last week some Blitz with 10/7.
I wrote a bug report to staff.

I'm fine with it either way , I just think they should clarify what their time controls actually are.
maybe they are trying to harmonize with USCF time controls ? that would make sense but I'm not sure what those are either ...

Source: FIDE
Appendix A. Rapid chess |
|
A.1 |
A ‘Rapid chess’ game is one where either all the moves must be completed in a fixed time of more than 10 minutes but less than 60 minutes for each player; or the time allotted plus 60 times any increment is of more than 10 minutes but less than 60 minutes for each player. |
Appendix B. Blitz |
|
B.1 |
A ‘blitz’ game is one where all the moves must be completed in a fixed time of 10 minutes or less for each player; or the allotted time plus 60 times any increment is 10 minutes or less. |
There is no such thing as Bullet Chess in FIDE.
This seems like a bug in Chess.com's rating system - it does not match the FIDE definitions which pjw65 linked to above. According to FIDE, 10 minutes or below should be blitz. Above 10 minutes should be rapid. But Chess.com counts 10 minute games as rapid.
Source: https://www.fide.com/fide/handbook.html?id=208&view=article
How are Live Chess time controls defined here?
for instance a 10/0 game was categorized blitz but a 10/5 game was rapid
Is there a Chess.com FAQ that answers stuff like this ?