How can an object (say, car) accelerate from some velocity to another if there is an infinite number of velocities it has to attain first?

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E.g. how can the car accelerate from rest to 5m/s if it first has to be going at 10^(-100) m/s which in turn requires it to have gone through 10^(-1000) m/s, etc.? That is, if a car is going at a speed of 5m/s, doesn’t that mean the magnitude of its speed has gone through all numbers in the interval [0,5], meaning it’s gone through all the numbers in [0,10^(-100000) ], etc.? How can it do that in a finite amount of time?

In: Mathematics

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Anonymous 0 Comments

How can you count from one to two if there are infinite numbers in between. How can you measure a distance if there are infinite points between the ends. How can a mass accelerate from one speed to another if there are infinite speeds in between?

Answer: they just do