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In the defination of uniform speed, what...

In the defination of uniform speed, what is the significance of the words 'howsoever small the interval may be' ?

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Speed of an object is uniform, when the object travels equal distances in equal intervals of time, however small the intervals may be. For example, the motion of train is uniform if it travels `60 km` in every hour or `30 km ` in every half hour, or `15 km` in every `15` minutes , `10 km` in every `10s` , `5 km` in every `5s` , `1 km` in every `1 s` , `(1)/(2) km` in every `(1)/(2) s` and so on. The correctness of the statement increases time interval selected is as small as possible.
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