What is the speed of the California ocean current as it moves South past California?

Answer 1

It's a bit more complicated. Do you mean surface current? Along the shore?

Check out this site on U.S. Coastal Observing Systems:
http://www.csc.noaa.gov/coos/southwest.html

This site has Atlantic Ocean info but the Pacific Ocean section is still under constuction: http://oceancurrents.rsmas.miami.edu/

and here is some cool info on weather buoys:
http://www.wrh.noaa.gov/mtr/buoy.php

Answer 2

not much