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
>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.?
Kinda, yes, it did. If you could stop time and divide it as you wish, watch it accelerate frame by frame.
>How can it do that in a finite amount of time?
What do you mean ?
Imagine a slower interval of time if it helps you. Take a tree that grows 1 meter in a year, measure it every 0,1 second that passes for a year. You would have a pretty detailed graphic of it’s growth speed.
Why does something similar at higher speed bother you ?
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