DL 3889 then DL 1316 at Detroit
Omaha → Detroit → New York JFK
Timetable, Detroit time
20:58DL 3889 from Omaha at the gate
20:35DL 1316 to New York JFK leaves the gate
23 h 37 apart on the timetable, overnight
DL 1316 leaves 23 h 37 after DL 3889 arrives on the timetable: more than half a day, so not a connection we count.