Velocity & Acceleration of Elevator

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SUMMARY

The discussion centers on the concepts of velocity and acceleration as they pertain to an elevator approaching the top of a building. It is established that as the elevator slows to a stop, its acceleration is directed downward, while its velocity becomes zero at the moment of halting. The misconception that the elevator travels at a constant velocity is corrected, emphasizing that constant velocity implies zero acceleration, which contradicts the scenario of the elevator decelerating. The zero velocity vector at the stop point lacks a defined direction.

PREREQUISITES
  • Understanding of basic physics concepts: velocity and acceleration
  • Familiarity with vector quantities and their properties
  • Knowledge of motion dynamics, particularly deceleration
  • Basic grasp of elevator mechanics and operation
NEXT STEPS
  • Study Newton's laws of motion to understand the relationship between force, mass, and acceleration
  • Explore the concept of vectors in physics, focusing on velocity and acceleration vectors
  • Learn about kinematics and the equations of motion for objects in free fall or deceleration
  • Investigate real-world applications of elevator mechanics and safety systems
USEFUL FOR

Students of physics, engineers involved in elevator design, and anyone interested in understanding the principles of motion and forces in mechanical systems.

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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