Negative acceleration - change in direction or slowing down?

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Homework Help Overview

The discussion revolves around the interpretation of negative acceleration in the context of motion, specifically whether it indicates a change in direction or a decrease in speed. Participants are exploring how to analyze given initial and final velocities to determine the nature of the acceleration.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for additional information beyond just negative acceleration to understand its implications on velocity. There is mention of the relationship between acceleration and direction of motion, as well as the potential for negative acceleration to indicate speeding up in certain contexts.

Discussion Status

The conversation is ongoing, with participants raising various points about the relationship between acceleration and velocity. Some guidance has been offered regarding the need for more data to draw conclusions, but no consensus has been reached on the interpretation of negative acceleration.

Contextual Notes

Participants are considering the implications of given initial and final velocities, as well as the definitions of acceleration and velocity in their analysis. There is an acknowledgment of the complexity involved in interpreting negative values in this context.

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Homework Statement


Since we can't tell if a value of negative acceleration means a change in direction or decceleration, how WOULD we be able to tell if its a change in direction or the speed is slowing down (say, if we were given v_initial and v_final)?


Homework Equations





The Attempt at a Solution

 
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If you're given V_i and V_f you know that some negative acceleration had to occur in the direction of motion. You need more than just velocities however, to determine much of anything about the acceleration. Similarly, if you're just given an acceleration, that doesn't necessarily tell you much about how the velocity changes.
 
Y'know, a negative acceleration could even mean something is speeding up, if it has a negative velocity (i.e. if it's moving "backwards")
 
I think it has to do with acceleration being the second derivative of the position vector but I am not entirely sure.
 

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