In open traffic, I prefer to just maintain constant speed and move left one lane whenever someone is slow in front. That would be a cool setting for a cruise control.
Google tells me that 7 * 200 inches / 60 mph is 1.32 seconds which isn't that long. But in reality, the car in front of you is braking and you are braking. So the real measurement is when they hit the brakes can you react in time to hit the brakes. Not gonna do that math. Maybe the CA drivers handbook has a table.
However, 7 car lengths feels to me like a lot and 7 car lengths with TACC seems very safe. Yeah, people merge into my gap and so I drop back again; big whoop. It also reduces dings from pebbles getting kicked up by the car in front.
https://www.nhtsa.gov/nhtsa/Safety1nNum3ers/august2015/S1N_S...
Traffic Aware Cruise Control improves safety as well. I set my gap at 7 car lengths giving me a safety buffer that I've never had before. I don't think that'd even be possible with a stick.