Suppose that in order to obtain the speed of an object at the end of the third

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Suppose that in order to obtain the speed of an object at the end of the third second of its motion you calculated the average speed during the third second, then during the time interval from 2 to 3, then during the time interval 2(3/4) to 3, and so on. Would you expect the average speeds to come closer and closer to the speed at the end of the third second? Why?

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