First thing, go to https://github.com/xLAva/JediAcademyLinux and click "Zip" near the top left. Open the Zip File and extract it.
Open the folder, then open the folder inside named "code". In that folder is yet another folder named "Release". Copy this folder (Release) to a more permanent location on your Drive and rename it to something like "JediAcademyLinux". I keep a folder called "bin" in my Home folder to store Downloaded Games and Apps.
For this next part you need your Jedi Academy CDs. Put the first CD in the drive and browse to "GameData/GameData/base". Copy the folder "base" with the file "assets0.pk3" into your JediAcademyLinux folder. Put the second CD in and go to "GameData/GameData/base" again and extract the files "assets1.pk3" and "assets2.pk3" into your base folder with the other file from CD1.
Now let us install a few files. If you have the 32bit version of Xubuntu, open a terminal and type the following "sudo apt-get install libopenal1 zlib1g-dev". If you have the 64bit version type "sudo apt-get install ia32-libs libxxf86dga1:i386 zlib1g-dev:i386". You can install the same files via the GUI Application Synaptic if you like.
The guy who ported it says you should install the patch "JKAcademy1_01.exe" but I didn't know how without installing it in Wine and then patching the files and copying the patched files. The Game seems to be running just fine without it, so that's up to you.
It's time now to play Jedi Knight: Jedi Academy. Open the Game folder and make sure "jasp" is marked as an executable. You can do this in Xubuntu by right clicking the file and selecting properties, clicking the Permissions Tab and making sure "Allow this file to run as a program" is checked.
Now just run the file "jasp" and you'll be playing. In the settings menu of the Game you can select "2048x1536" as your resolution, to run it in your Monitors native Widescreen mode. Have fun!