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Question

A body is moving with uniform velocity. What is the relation between the instantaneous and average velocity of the body?


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Solution

  1. The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity, usually called velocity.
  2. It is the average velocity between two points on the path in the limit that the time (and therefore the displacement) between the two points approaches zero.
  3. Like average velocity, the instantaneous velocity is a vector with a dimension of length per time.
  4. Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.
  5. The distance-time graph will be a straight line whose slope (velocity) is the same at every point.


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