Is it possible to have zero velocity and zero acceleration?

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The discussion revolves around the possibility of an object having zero velocity and zero acceleration simultaneously while still being classified as a "moving object." Participants explore mathematical examples, such as the trajectory x = (t-2)^3, where at t=2, both velocity and acceleration are zero, yet the object is considered to be moving at other times. The conversation highlights the complexity of defining "moving," with some arguing that being stationary at a moment does not negate the object's overall motion. Ultimately, the debate underscores the importance of precise definitions in physics and mathematics, leading to the conclusion that the answer depends on the chosen definitions. The thread concludes that further discussion may not yield additional value, given the various perspectives already presented.
  • #31
persia77 said:
does it have instantaneous zero velocity and instantaneous zero acceleration simultaneously?

Yes, I stipulated that:
jbriggs444 said:
Exactly as the puck achieves zero velocity, the electric field reaches zero and begins increasing in the northward direction.
 
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  • #32
A.T. said:
If your definition of "moving" doesn't even require a direction, what physical relevance does your definition of "moving" have, and why should we even care about that type of "moving"?
direction is zero at instantaneous zero velocity :)
 
  • #33
persia77 said:
direction is zero at instantaneous zero velocity :)

The normal definition of the "direction" of a vector quantity would involve the vector being divided by its magnitude. The result has a magnitude of 1 and may be referred to as a "unit vector" or "direction vector". In the case of a zero vector, this involves division by zero. The direction of the zero vector is not defined.
 
  • #34
persia77 said:
direction is zero
Sounds like your definition of "direction" is just as useful as your definition of "moving".
 
  • #35
A.T. said:
Sounds like your definition of "direction" is just as useful as your definition of "moving".
useful for u
 
  • #36
I don't think more posts would add any value to this thread. It depends on the definition of "moving", so there is no general answer, and all the different cases have been discussed. Closed.
 

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