Instantaneous velocity and time

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Homework Help Overview

The discussion revolves around the concepts of instantaneous velocity and average velocity, specifically whether instantaneous velocity can exceed or be less than average velocity over a given time interval.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are considering the relationship between instantaneous and average velocity, with some suggesting graphical representations to aid understanding. There are differing opinions on whether instantaneous velocity can be greater or less than average velocity, with examples being discussed.

Discussion Status

The conversation is ongoing, with participants sharing their thoughts and examples. Some guidance has been offered regarding the use of graphs, and various interpretations of the relationship between instantaneous and average velocities are being explored.

Contextual Notes

Participants are discussing the definitions and implications of instantaneous and average velocities, with an emphasis on real-world scenarios that illustrate these concepts.

stunning
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can the instantaneous velocity of an object at an instant of time ever be greater in magnitude than the average velocity over a time interval containing the instant?can it ever be less?
 
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What are your ideas?
Did you try to draw a graph of position vs time?
 
What do you think?
 
wel i think that it can b greater...
 
stunning said:
wel i think that it can b greater...
Of course it can. You drive 50 miles and it takes you an hour, so your average speed is 50 miles/hour. But nothing about that stops you from driving 100 mph for the first mile, and then slowing down. (Or any number of variations, as long as it takes you an hour to complete the trip.
 

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