Can something have negative acceleration and still move faster?

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SUMMARY

The discussion clarifies that negative acceleration does not inherently mean an object is slowing down; it depends on the relationship between the velocity and acceleration vectors. If both vectors point in the same direction, the object speeds up; if they point in opposite directions, the object slows down. The conversation emphasizes that both velocity and acceleration are three-dimensional vectors, and their signs are only meaningful relative to each other. Therefore, understanding the components of these vectors in multiple dimensions is crucial for accurate analysis.

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  • Knowledge of three-dimensional coordinate systems
  • Basic physics principles related to motion
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ar53nal14
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Can something be going at negative acceleration be going faster or moving, not stopping or becoming slower?
 
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What does "negative" mean?
 
ar53nal14 said:
Can something be going at negative acceleration be going faster or moving, not stopping or becoming slower?

"Negative acceleration" sounds like the acceleration vector is in the opposite direction of the velocity vector. Net result: slowing down.
 
it depends on the sense of direction
 
If the object has positive velocity, but negative acceleration, it is slowing down.
If the object has negative velocity, but positive acceleration, it is slowing down.
If the object has positive velocity, and positive acceleration, it is speeding up.
If the object has negative velocity, and negative acceleration, it is also speeding up.

Basically, if the acceleration and the velocity vectors are in the same direction, the object is speeding up. If they are in opposite directions, the object is slowing down.

hope that helps.
 
pchalla90 said:
If the object has positive velocity, but negative acceleration, it is slowing down.
If the object has negative velocity, but positive acceleration, it is slowing down.
If the object has positive velocity, and positive acceleration, it is speeding up.
If the object has negative velocity, and negative acceleration, it is also speeding up.

Basically, if the acceleration and the velocity vectors are in the same direction, the object is speeding up. If they are in opposite directions, the object is slowing down.

hope that helps.
Both velocity and acceleration are 3-d vectors, so positive and negative don't have any real meaning for them separately, only relative to each other.
 
I apologize, what i said earlier applied to one dimension only. For 2 or 3 dimensions, you have to break down the acceleration and velocity vectors into x and y or x, y, and z components, respectively.

Then you have to have a defined +x and -x. same goes for y and, if youre in three dimensions, z.

then the rules i stated above apply, but you have to keep in mind that they apply only in that dimension. simply because both the velocity and acceleration vectors for x are positive does not necessarily mean it is speeding up. you need to take into account the other dimension(s).
 
Doesn't the wording of the question -- "...negative acceleration..." -- imply we're discussing 1-dimensional motion?
 
Thats what i assumed, but i guess mathman thought that the OP was in more dimensions...
 

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