Light travels at about 186,000 miles per second or 670,000,000 mph.
So, currently, in terms of light speed, we are not moving.
To be clear, as of today the fastest velocity we have achieved is on the order of seven miles per second or 25,000 mph. Sounds impressive, right?
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Actually, New Horizons was doing 51,000 mph after it slingshotted? around Jupiter, and was going over 30,000 mph as it flew by Pluto.