Thats pretty normal during the condensation process. If it stays for long time after start u and regularly for more than few days (5 -7 days) then get worried and show to AC technician. Sometime it happens and its pretty normal. Its a condensation smoke and not exhaust.
May be springs started to sagged over time. Get the suspension system checked. Jump in car while parking if hear squeaking on outside then it is even more confirmed.