Adding velocity vectors to get average velocity

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Jtwa
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If you're driving in a car and map out all the displacement vectors, you can add the segments to get the total displacement. Correct?

Why can't we add the various velocity vectors for the different segments to get the average velocity. ?

Could you add up all the velocity vectors and divide by the # of segments?
 
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If all the vectors represented the same amount of time, you could.
 
Average velocity is also the total change in position divided by the total time.