Average acceleration given three velocity vectors?

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Esoremada
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Can someone explain this? http://puu.sh/4LNE6.png

What is the relevance of t1 < t2 < t3
 
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t1<t2<t3 just makes sure your time-ordering is right, so you first have v1, afterwards v2, and then v3, and not some other order.
 
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Oh I was thinking of them each representing time intervals for some reason, I get it. Thanks