This improved time is a tenth quicker than before and makes the P100D 0.4sec quicker than a Mclaren P1. Now that the Porsche 918 and LaFerrari are out of production, it's the quickest car currently on sale.
Both the Model S and Model X P100Ds were launched in August with a new 100kWh battery packs.
Customers in the US waiting for P90Ds with Ludicrous Mode have been offered the chance to upgrade their order to P100D spec for $10,000 (£7578). Existing P90D owners can get their cars to P100D spec for $20,000 (£15,156) to cover costs of old battery recycling.
The Model S P100D costs from £114,200; more than double the entry-level Model S 60's £53,400 starting price. A 'Ludicrous Speed' upgrade and Tesla's Smart Air Suspension are included in this. The first Model S P100D deliveries are estimated for December this year.
The Model X P100D is priced from £117,200, which puts the P100D £53,100 (just shy of the price of the Model S 60) above the entry-level Model X 60D. Deliveries of the top-of-the-range Model X will start early next year.
Monthly PCP rates for the Model S P100D and Model X P100D are around £1060 and £1089 respectively, according to Tesla.
Musk said that the drivetrains for both cars will remain the same, with only the larger capacity batteries being new.