In school we learned ” what you save in energy, you have to increase the way.” By that rule you should use the exact same amount of energy (fuel) for the same distance no matter what speed. I’ve asked a few people, but no-one could give me a good answer.
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Imagine a spaceship that’s going to the opposite end of the galaxy. It has a massive pulse engine that uses as much power in a second as our sun outputs in a day, to accellerate that ship up to almost the speed of light. It coasts through the galaxy using no power, and when it arrives at its destination it again pulses its massive engine outputting as much power as the sun.
Now imagine it made the same trip, but to the local grocery store. Aside from completely incinerating the grocery store it’s going to (and the rest of the planet Earth), it would use the same energy as for it’s intergalactic trip. Btu we can obviously travel the same distance for less energy if we just go slower.
Really it’s the exact same principle in a car.
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