Instantaneous and average speed

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Discussion Overview

The discussion revolves around the relationship between instantaneous speed and average speed, exploring whether they can be equal and under what conditions. Participants consider both theoretical and practical scenarios, as well as the implications of different time intervals in measuring speed.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants suggest that instantaneous and average speed can be equal when the speed is constant, as the speed at any instant matches the average speed calculated over the total distance and time.
  • One participant asks for clarification on whether the average speed is taken from a period of rest to the instant of measuring instantaneous speed, or over a longer duration, indicating a need for specificity in the discussion.
  • Another participant points out that instantaneous speed can be viewed as the average speed over a very small time interval, but notes that average speeds calculated over different intervals may not necessarily be equal.

Areas of Agreement / Disagreement

Participants express differing views on the conditions under which instantaneous and average speeds can be equal, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are limitations in the discussion regarding the definitions of average speed and instantaneous speed, as well as the assumptions about the time intervals considered.

alyafey22
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Can instantaneous and average speed be equal to each other in any why ? if it can can you please give me an example ??
 
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alyafey22 said:
Can instantaneous and average speed be equal to each other in any why ? if it can can you please give me an example ??

Here's one situation in which they are equal. If the speed is constant, then the instantaneous and the average speed are the same. In other words, the speed at any instant is equal to the speed you calculate by taking the total distance traveled and dividing it by the time taken to travel that distance.
 
Be a more specific. Do you want to take average from the time when it was at rest to the instant at which you are taking instantaneous speed or average over a sufficiently long time. Also is it a theoretical case or purely practical?
 
Instantaneous speed is just the average speed taken over a small time interval. If you take average speeds over different time intervals they may or many not be equal.
 

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