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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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Knowledge Check

  • PASSAGE-I : A body is said to be in motion when its position changes continuously with respect to a stationary object taken as reference point. A body has a uniform motion if it travels equal distance in equal intervals of time, no matter how small these time intervals may be. The distance-time graph for uniform motion is a straight line. A body has a non-uniform motion if it travels unequal distance in equal intervals of time. The distance-time graph for a body having non-uniform motion is a curved line. If a body travels 2 metres in 1^(st) second, 3 metres in 2^(nd) second and then, travels with a constant speed, the motion of the body is

    A
    oscillatory
    B
    uniform
    C
    non-uniform
    D
    circular motion.
  • PASSAGE-I : A body is said to be in motion when its position changes continuously with respect to a stationary object taken as reference point. A body has a uniform motion if it travels equal distance in equal intervals of time, no matter how small these time intervals may be. The distance-time graph for uniform motion is a straight line. A body has a non-uniform motion if it travels unequal distance in equal intervals of time. The distance-time graph for a body having non-uniform motion is a curved line. The distance-time graph for a uniform motion is

    A
    B
    C
    D
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