You’re moving at 800 mph

So if at the equator, and with 24 hours in a day(rotation cycle), moving at over 1,000 mph. Slower the higher your latitude. But it's all relative ;)

The formula is (1040 mph x cosine latitude) ... so at 45º latitude we have (1040 mph x 0.707) = 740 mph

The avg day is 23 hrs and 56 min and 7 seconds or so
I can’t remember

You may be thinking of the sidereal day ... the time it takes for a background star to return to its position ... because the Earth moves along her orbit in a day ... it takes an extra 4 minutes for the Sun to return to the same position ... thus the solar day is 24 hours ...
 

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