Jet Assisted Takeoff - The gif is Fat Albert which is part of the Blue Angels. There was a plan to use jet-assisted landing and takeoff to rescue hostages in Iran but it wasn't used after a failed test of the landing jets.
C130s were designed to operate from relatively short unimproved runways. If the place has enough runway to operate corporate jets, it should have enough for a C130.
EDIT: This place only has enough runway (2998 x 50 ft ) for small Cessna size aircraft, so no jets or C130s.
I've lived under a flight path, ~9km/6miles from the airport - while I understand the difference between a 787 and a Cessna 172, I've got no earthly idea why anyone would choose to have a runway in their front yard.
I lived adjacent to a neighborhood like this. It was much quieter than middle aged neighbors with Harley’s. Little Cessnas and Pipers are not that loud.
I live basically across the street from an Air Force base so I get turboprops over the house at 1,000 feet starting at about 7:00 5-6 days a week. Doesn't bother me or my wife, we just like planes.
It's a training base so we've got both here. I'm just on the prop side. Cargo planes are super fun too, used to fly C-17s over my old house all the time before we moved here.