Clarification between average velocity and average speed

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Discussion Overview

The discussion focuses on the distinction between average velocity and average speed, exploring definitions, formulas, and conditions under which they are applied. It includes conceptual clarifications and mathematical reasoning related to these terms.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Debate/contested

Main Points Raised

  • Some participants propose that average velocity is calculated as total displacement over total time.
  • Others argue that average speed is determined by taking the total distance traveled divided by total time, challenging the initial claim about averaging speeds.
  • There is a question about the use of the formula (v1 + v2) / 2, with some participants suggesting it applies when moving at speeds v1 and v2 for the same duration, while others clarify it relates to constant acceleration.
  • One participant mentions that the formula can be used to find the average velocity at a midpoint when acceleration is constant.

Areas of Agreement / Disagreement

Participants generally agree on the definition of average velocity but disagree on the correct approach to calculating average speed, indicating multiple competing views on the topic.

Contextual Notes

Some assumptions about the conditions under which the formulas apply are not fully explored, such as the implications of constant acceleration and the specific scenarios for using average speed calculations.

cmkc109
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To find average velocity, you do total displacement over total time
To find average speed, you add up the speeds / total speeds there are? (Eg. (10+20)/2)

Am I correct?
 
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cmkc109 said:
To find average velocity, you do total displacement over total time

Correct.

To find average speed, you add up the speeds / total speeds there are? (Eg. (10+20)/2)

No, you take the total distance along the path traveled, over the total time. For "total distance", imagine tracing out the path with a string, then straightening the string and measuring its length with a ruler.
 
thanks for your reply! but when do you use v1 + v2 /2 ? or did i remember this wrong?
 
cmkc109 said:
thanks for your reply! but when do you use v1 + v2 /2 ? or did i remember this wrong?

You can use (v1+v2)/2 for the average speed if you first moved with speed v1 and then with speed v2 for the same amount of time. (not for the same amount of distance).

For constant acceleration in a straight line, the average speed (and velocity as well) is \frac {v_i + v_f}{2}. the average of initial and final speed.
 
cmkc109 said:
thanks for your reply! but when do you use v1 + v2 /2 ? or did i remember this wrong?
Hi. I think you forgot some parentheses.

You use that formula when acceleration is constant and you need to find the velocity at a time midway between the time that you measure velocity as v1 and the time you measure velocity as v2.
 

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