osascript -e 'do shell script "open -a Terminal "'"$appDir"'"" with administrator privileges'

#!/bin/bash
sudo /usr/bin/id

osascript -e 'do shell script "open -a Terminal ./something.command"'

osascript -e 'do shell script "sudo /Applications/Utilities/Terminal.app/Contents/MacOS/Terminal" with administrator privileges'

#!/bin/bash
osascript -e 'tell application "Terminal"
    set newTab to do script "echo mypassword | cd /someFolder && sudo -S someCommand"
end tell'