Decelerate is often used to indicate that an object is slowing down

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Homework Help Overview

The discussion revolves around the term "decelerate" and its implications regarding acceleration and velocity. Participants explore whether deceleration indicates the sign of acceleration and how it relates to the direction of motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the definition of deceleration and its relationship to acceleration, with some suggesting that deceleration does not necessarily imply negative acceleration. Others explore the conditions under which deceleration occurs, particularly in relation to velocity vectors.

Discussion Status

The discussion is active, with various perspectives on the meaning of deceleration and its dependence on velocity and acceleration. Some participants have offered insights into vector relationships, while others express confusion about the terminology and its implications.

Contextual Notes

There is a mention of differing interpretations based on educational context, particularly in introductory physics classes. Participants are navigating the complexities of terminology and its application in physics.

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The term decelerate is often used to indicate that an object is slowing down. Does this term indicate the sign of the acceleration?

I believe the answer is no, but if someone could clarify why and how I would appreciate it.
Thanks
 
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I dissapprove of the term 'deceleration' since it is often very confusing, it is better to quote and appropriate vector acceleration. And to answer your question it depends how the deceleration is quoted.
 
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So in a way the two terms are dependent of one another,correct? I am still a little confused on how to specifically answer this question that I posted? The term deceleration does not indicate the sign of acceleration, because a negative ( - ) acceleration can be speeding up in a positive direction which implies that the term deceleration can not be used as a negative acceleration. ?
 
If an object is decelerating, the dirtection of the acceleration is contrary to the direction of the velocity.
 
It might be best to say that an object decelerates if the dot-product of its velocity-vector with its acceleration-vector is negative. That is,
[tex]\vec a \cdot \vec v < 0[/tex].
Since the left-hand side can be written as
[tex]\frac{d \vec v}{dt} \cdot \vec v =\frac{1}{2}\frac{d (\vec v \cdot \vec v)}{dt} = \frac{1}{2}\frac{d (| \vec v|^2)}{dt}[/tex],
then this says (as you say) that the speed is decreasing.
 
An object with a negative velocity that is decelerating is, in fact, speeding up. So the answer is no, or at least for my intro class it's no :)
 
Thanks everyone
 

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