Velocity & Acceleration of Elevator

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Homework Help Overview

The discussion revolves around the concepts of velocity and acceleration as they pertain to an elevator approaching the top of a building and coming to a stop. Participants are exploring the relationship between these two physical quantities during the elevator's deceleration phase.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the direction of velocity and acceleration when the elevator slows down. Questions are raised about whether the velocity remains constant during deceleration and how the concepts of velocity and acceleration relate to each other at the moment the elevator stops.

Discussion Status

There is an ongoing exploration of the definitions and implications of velocity and acceleration. Some participants are questioning assumptions about constant velocity and are discussing the implications of the elevator coming to a complete stop, including the nature of the zero velocity vector.

Contextual Notes

Participants are navigating the complexities of motion at the transition point of stopping, which includes considerations of how velocity and acceleration are defined in this context. There is mention of the need for clarity regarding the definitions of these terms as they apply to the scenario presented.

mimo6267
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When the elevator approaches the top of a building and slows to a stop, what direction is the elevator's velocity & acceleration?
 
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kindly explain what you believe is the answer and why? or what you have done so far. You cannot expect us to answer your questions directly.
 
I found that since the elevator is slowing to the stop, the direction of the elevator's acceleration would be downward. Since the elevator is always traveling at a constant velocity, does that mean when it slows to a stop, the velocity would still be constant, which means the direction would be horizontal? or since, the acceleration is downward that direction of velocity would also be downward? Thank you!
 
At the moment that the elevator is stopped, it doesn't really have a "direction." (E.g., Which way does an arrow with no length point?)

At any other moment the velocity certainly has a direction (which you seem able to describe)!
 
mimo6267 said:
I found that since the elevator is slowing to the stop, the direction of the elevator's acceleration would be downward. Since the elevator is always traveling at a constant velocity, does that mean when it slows to a stop, the velocity would still be constant, which means the direction would be horizontal? or since, the acceleration is downward that direction of velocity would also be downward? Thank you!

You're absolutely right about the acceleration. However, the elevator is NOT traveling at constant velocity!

For an object with constant velocity, its acceleration must be zero, which is clearly not the case here. Now at its top most point the elevator slows down and comes to a complete HALT before moving downwards again. At that point therefore, the velocity of the elevator is ZERO!

Also, the zero vector doesn't really have a defined direction.
 

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