Following Rimac's recent video of their Concept One achieving 0-100 km/h in 2.6 seconds, it seems Tesla have that covered.
Drag Times recently tested a refreshed Tesla Model S P90D Ludicrous where the 5 door sedan ran 0-60 MPH just 2.6 second.
Sure, 60 miles per hour is only 96 kilometers per hour but it's close enough to make no difference.
A leading theory is that those vehicles already feature software-limited 100 kWh battery packs capable of higher power outputs.
Others speculate that Tesla developed new battery pack parts, like it did for the Ludicrous upgrade (new contactor and fuse), in order to optimize the upcoming 100 kWh pack and it introduced those parts in the existing packs before the release of the new one.
3 phase AC Induction motors, as used by Tesla, can withstand huge 'peak' performance in short bursts. Most of the mind numbing acceleration happens within the first second, as can be seen in the graph below. The P90DL leaps to 1.35g within the first 0.5 sec and maintains 1g+ for 1.5 seconds. The old P85D achieved a peak of 1.05 g for 1.2 second.