To reach from a place A to a place B, why does it leads to more fuel consumption if we drive our car with a higher velocity.
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Air resistance goes up with the square of speed – you collide with more air molecules per second, and hit them harder.
The total energy it takes to travel from A to B is the force you must overcome (primarily air resistance) multiplied by distance.
Clearly distance is the same regardless of speed, but if the force goes up then so does the total energy required. Given energy comes from burning fuel this implies more fuel burnt for the same journey.
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