https://www.quora.com/Escape-velocity-is-supposed-to-be-24-0...
Multiple answers explain that there isn't a fixed minimum change in velocity required for an object to escape Earth's gravity.
https://www.quora.com/Does-rocket-always-need-the-escape-spe...
The first answer here explains the same thing, using basically the same example (1 m/s instead of 1 mph).
https://space.stackexchange.com/questions/4688/couldnt-i-esc...
The answers here overwhelmingly reiterate and support the same example in this thread.