eli5 escape velocity

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Why is there a velocity associated with escaping from earth’s atmosphere? If an object were to fly from the surface of the planet at 1 m/s without any change in acceleration would it not eventually end up in space?

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> In celestial mechanics, escape velocity or escape speed is the minimum speed needed for a free, ***non-propelled object*** to escape from the gravitational influence of a primary body, thus reaching an infinite distance from it.

https://en.wikipedia.org/wiki/Escape_velocity

With atmospheric drag and gravity, it’s impossible for a non-propelled object to actually maintain 1 m/s.

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