One note, your second claim is not entirely true - while land vehicles are a ways from being feasible to power with photovoltaics (although I would have to do the math for trains, which may be close), we already have primarily [1] and exclusively [2] solar-powered aircraft.
Those aircraft limp along at a tenth the speed of a typical commercial flight. That's the main reason I said "effectively". I mean, there are useless pure-solar cars too.
Trains might be closer but when single locomotives are measured in megawatts I'm not very confident.
[1] https://en.wikipedia.org/wiki/Solar_Impulse#Solar_Impulse_2_...
[2] https://en.wikipedia.org/wiki/Helios_Prototype