Large gap every time.
Assuming all cars accelerate at the same pace (for simplicity really) we’ll use some “magic” figures
Lights change for 30 seconds
Target speed is 15m/s (33mph)
Linear acceleration of 3m/s^2
Driving distance is 7m (roughly 1.5 car lengths)
From a standing start with full distance maintained, all cars accelerate together when the lights change and maintain their distance.
So…
Maximum distance from lights for a car to get through is:
15/3 = 5 seconds accelerating :. 25 seconds at 15m/s
Distance under acceleration = 15*5/2+0*5=37.5m (0.5*(change in V)*T + initial V*T because it’s linear)
Distance @15 = 25*15=375 (V*T)
D=375+37.5= 412.5m
Based on car length of 7m/1.5 + spacing of 7m thats roughly 412/12+1 (front car)= 35 cars.
From standing start, nose to tail, the cars accelerate in sequence allowing the car infront to get clear.
To achieve a space of 7m between cars at 15m/s
Front car accelerates for 2 seconds before 2nd car moves etc down the line.
Total distance from the lights to the noise of any car is (n-1)*4.5
Distance covered by any car is ([total time]-[delay]-[acc. time])*V+[distance under acceleration] so (30-(n-1)*2-5)*15+37.5
Car 13 covers a total distance on 22.5m, it is 58.5m from the lights.
Car 12 covers a distance of 52.5 from 54m back, well let him go through on orange.
So 12 cars, so roughly 1/3rd the number.
(Edit as above though none of this works as most people can’t drive)