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and bringing later as close as possible to right now,
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we define a quantity that
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we can say is the velocity at this instant.
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So v of t, v is the limit,
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Δt goes to 0 of Δx over Δt
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and we use the symbol dx/dt for velocity.
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So technically, if you ask what does the velocity stand for--
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Let me draw a general situation.
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If a particle goes from here to here, Δx/Δt,
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I don't know how well you can see it in this figure here,
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is the slope of a straight line connecting these two points,
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and as the points come closer and closer,