AppleScript for opening a single new Terminal.app window at the location `input`

OpenTerminalHere.applescript

set posix_input to POSIX path of input
if application "Terminal" is running then
  tell application "Terminal"
    open posix_input
    activate
  end tell
else
  tell application "Terminal"
    if not (exists window 1) then reopen
    activate
      do script "cd \"" & posix_input & "\"" in window 1
  end tell
end if