Velocity & Acceleration of Elevator

In summary: So we can say that at the moment the elevator is stopped, it has no direction. But at any other moment, its velocity does have a direction which can be described as horizontal or vertical.
  • #1
mimo6267
2
0
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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  • #2
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.
 
  • #3
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!
 
  • #4
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)!
 
  • #5
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.
 

What is the difference between velocity and acceleration of an elevator?

Velocity refers to the speed and direction at which an elevator is moving. It is measured in units of distance per time, such as meters per second. Acceleration, on the other hand, refers to the rate of change of velocity. It is measured in units of distance per time squared, such as meters per second squared. In simpler terms, velocity tells us how fast the elevator is moving, while acceleration tells us how quickly the velocity is changing.

How is the velocity of an elevator calculated?

The velocity of an elevator can be calculated by dividing the distance traveled by the time it took to travel that distance. For example, if an elevator travels 10 meters in 5 seconds, its velocity would be 2 meters per second (10 meters / 5 seconds = 2 m/s).

What factors affect the acceleration of an elevator?

The acceleration of an elevator is affected by the net force acting on it, which includes the weight of the elevator and its occupants, the tension in the elevator cables, and any external forces such as air resistance. The mass of the elevator and its occupants also plays a role in the acceleration.

How does the direction of the elevator affect its velocity and acceleration?

The direction of the elevator affects both its velocity and acceleration. When an elevator is moving upwards, its velocity and acceleration are positive. When it is moving downwards, they are negative. If the elevator is stationary, both velocity and acceleration are zero.

Why does the acceleration of an elevator change during its journey?

The acceleration of an elevator changes during its journey because of changes in the net force acting on it. When the elevator is moving upwards, the net force is greater than when it is moving downwards, causing a greater acceleration. Additionally, as the elevator approaches its destination and begins to slow down, the acceleration decreases until it reaches zero when the elevator comes to a stop.

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