You're in a car, throttle wide open and at top speed, and you're covering more than one football pitch a second. That's how fast 300mph is. It's so staggeringly fast, in fact, that by the time you've finished reading this sentence you'll have travelled almost another half a mile.

The engineering challenges at these kind of speeds are phenomenal. You need to keep the car on the ground, enable it to follow a desired course, stop its powertrain from turning into a cloud of expensive shrapnel and – ultimately – have it produce enough power to reach, let alone exceed, 300mph.

The announcement of a new 286mph-capable Bugatti Veyron, however, suggests that the world's first 300mph-capable production car is years, rather than decades, away. Could a Super Sport version, with more power and a other upgrades, attain the necessary additional 14mph?

The Veyron's successor Bugatti Chiron has been unveiled at the Geneva Motorshow

Obviously we're deep into the realm of diminishing returns here, but the numbers bear some consideration. The original Veyron produced 987bhp and hit 253.81mph; the Supersport improved on that with 1184bhp and 267.86mph.

So, an extra 197bhp added 13.87mph on to the top end of the original Veyron. Repeating a similar 14mph-odd gain with a new Super Sport would require even more power, due to the higher speeds involved, but even so – after a quick bit of bistromathematics – I reckon another 250bhp would do it.

Obviously there will be many hurdles to overcome in producing a second-generation 1725bhp Veyron Super Sport, tyres not withstanding. Turbocharged engines can usually be provoked into producing more power, and the Veyron has cylinder and turbocharger counts in its favour, so it's unlikely that sheer output will be the limiting factor – although the Bugatti may have concerns about reliability, especially on conventional fuel, or driveability.

Aerodynamics shouldn't be too much of an issue however, considering the engineering might behind Bugatti and the speeds it has already achieved. People have already managed to push stock-bodied cars over 300mph mark, so it can be done. For example, in 1999, the Kugel & LeFevers Pontiac Firebird hit 307.468mph on the Bonneville salt flats.

That particular 1992 third-gen Firebird, driven by Joe Kugel, even managed to average 300.788mph over two days' racing on the five-mile course. Power came from a pump-fuelled 6.0-litre Chevrolet V8 with fuel injection and twin turbochargers; it produced 1266bhp at 7300rpm thanks to 18psi of boost.

Admittedly this was a fully-fledged racing machine, albeit one with production looks and electric windows, but it proved what was possible – even on a less than ideal surface.

Given the above, it seems that the next-gen Bugatti Veyron Super Sport – if such a car were to come to fruition – could be the first 300mph-capable road-legal production car.

After all, there are few alternatives or upcoming rivals around. Current supercars like the McLaren P1 and LaFerrari reach a mere 217mph by comparison, while the likes of the reputed 290mph-capable Hennessey Venom F5 will probably never be classed as a production car.

The Koenigsegg Agera One:1 is claimed to hit over 273mph though, and may well be capable of more. Given Koenigsegg's knack for impressive feats of engineering, it may well be one to keep an eye on.