Uses of the average velocity/speed

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Discussion Overview

The discussion revolves around the uses of average velocity and average speed, particularly in the context of physics problems and real-world applications. Participants explore their relevance beyond theoretical derivations, including practical scenarios like driving distances and kinematic equations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the practical uses of average velocity and average speed beyond their role in deriving instantaneous values.
  • Another participant provides a practical example involving driving from San Francisco to Los Angeles, calculating travel time based on average speed.
  • Some participants suggest that constant acceleration kinematic problems can be approached using average velocity instead of the SUVAT equations.
  • A participant highlights the need for clarification on what is being averaged, whether time or distance, when discussing average speed.
  • One participant notes that one of the SUVAT equations incorporates average velocity, specifically mentioning the equation s = t*(u+v)/2.

Areas of Agreement / Disagreement

Participants express varying views on the utility of average velocity and speed, with some agreeing on their application in kinematic problems while others question their broader relevance. The discussion remains unresolved regarding the extent of their practical uses.

Contextual Notes

Some assumptions about the context of average speed and velocity are not fully explored, such as the specific conditions under which they are applied in real-world scenarios or theoretical frameworks.

albertrichardf
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Hi,

I was wondering if there is any use for the average velocity or average speed. I've seen them used as an intermediary step in textbooks to derive the instant velocity or instant speed. Other than that, I've never ever seen them used, and searching online just returns definitions and calculations.

Any uses for these?

Thanks for answering.
 
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If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
 
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.
 
Vanadium 50 said:
If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
About half a day, based on the distance google returned.
I didn't think of using it like that. Thanks for answering.
 
PeroK said:
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.
I didn't think of that. Thanks for answering.
 
Vanadium 50 said:
If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
If I were pedantic, I'd point out that it depends on what it was you were averaging over. Time or distance? :wink:
 
Ibix said:
If I were pedantic

Good thing you're not, then, because that would be a complication more confusing than clarifying. :wink:
 
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PeroK said:
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.

One of the SUVAT equations effectively contains the average velocity. I'm thinking of s = t*(u+v)/2
 

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