I think the sci-fi documentary failed to mention at which point in it's travels would it be at 150km/s. The original report/paper it was sourced from probably mentioned something like "around the Orbit of jupiter".
On power consumption, yes, I heard 2kW figure too. They recently upgraded all the old 1970s bakelite presentation points (or are in the process of), replacing older 60A and 80A fuses with 100A fuses.
Technically you could draw 20kW or so, not recommended and given my whole house plug ring runs off a single 32A breaker and... I have tried and never popped it. Technically a 13A kettle, the 10A Tumble drier and the 10A living room electric fire, should trip it, but didn't, at least for the short time the kettle was boiling. My tamed spark said about as much. "You'd think you'd break it all the time, but unless you really go at it trying, you probably never will".
I think the 2kW needs clarifying though. It's not the total capacity, but rather the aggregate average, instantaneous load from an average household.
So if 100 new modern homes are going in, they may not spec it for 2kW as they would not represent "average" households if they are coming prebuilt with solar panels and car chargers as standard.