I have several forms I want to get synced to Google Drive. However, I want them in separate files.

How do I do that? 

Do you mean to say that you want files to be saved in separate folders? If yes, use the field names as the folder name in the integration settings.

Example:

If you want the folder to have the submissions time and the user's name, simply pick them from the fields list.

No. That's not what I meant. I created 2 different applications on Jotform.
I'd like the data from both forms to be synced to my google drive in two
separate spreadsheets. So basically a spreadsheet for each application.
...

Unfortunately having the google spreadsheet integration used 2 or more forms on the same integration is not possible at this time.

But an alternative option you may want to look at is the Combine Submissions app.

You can combine submissions of 2 forms using this app.