AE. I can't think of a time when I've calculated average velocity. Or an average vector.
every time you have calculated it based on starting point and ending point you have calculated the AVERAGE direction of travel and average speed in that direction. (because you dont care about the path)
if you have a function for s (the position) as a function of
t, and then take the derivative, you have now found the FUNCTION that describes the velocity at any time
t. this is the only time that you will have solved for some non-average but rather a specific time.
any end point - starting point calculation for ANYTHING is typically an average b/c it discounts path, pattern, or whatever you are dealing with
when you drive from your house to Bobby Doddy Stadium, you make stops at lights, or to give money to that guy on the corner, or to buy a Mellow Yellow at the convenience store, and you do not travel in a straight line nor at constant speed. however, you can easily average the sum of all of your travel vectors by simply subtracting the starting point from the ending point (dont forget to account for the fact that its a vector and has direction) and you arrive at a conclusion of an AVERAGE speed in an AVERAGE direction
since tweets travel over the air, over a cable and then through a server, and back out via cables and then usually also an antenna, the distance traveled by the tweet actually does exist. so, replacing the true and calculable speed of a tweet in proper terms with some bastardized version that simply means frequency is not just stupid want-to-be-cool-sounding-dumbassness but also completely mathematically and scientifically false
no wonder the smart players go to Stanford and not GT based on this thread alone. no average velocity, no direction on a vector, dont know what frequency is...
only at Tech