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2012-05-20 16:53:05
2012-05-20 16:53:05

Zero average velocity does not equal zero dislacement.

Zero average velocity equals zero average displacement. :)

Wouldn't it be the other way around?

Let's say I take my mouse from its center position (from which we'll define the displacement) and move it quickly to the right some arbitrary distance and then equally quickly back to the center. Then, I move it slowly the same distance to the left and equally slowly back to center again.

Over this entire time, since the motions are symmetric (that is, the mouse spends the same amount of time moving in the positive direction as the negative), the average velocity must be zero. Also, we're back to the central position, so the net displacement must be zero. However, since we spent more time moving the mouse on the left, the time-averaged displacement must point to the left. Would you agree?

Answer given by Neetu Singh Lambha.


Related Questions

No, it can't. Average VELOCITY can be zero, though.

Yes; for example, an object moving in a circle.

An object at rest has a constant velocity of zero. Both the object at rest and the object moving at constant velocity have zero acceleration.

When an object is not moving. (Velocity is speed)

An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,

An object that is not moving.

A stationary object with velocity of zero.

Zero velocity means the object has no speed, that is, it's not moving. Zero acceleration means the object is moving with constant speed in a straight line, that is, its velocity is not changing.

The net force on an object moving at a constant velocity is zero.

Speed is distance by time and velocity is displacement by time. If an object is moving with speed distance can never be zero but displacement can. So we say velocity can be zero.

Yes, an object having zero average velocity over a given time may still be accelerating during that interval, relative to another object which is accelerating away from it (i.e., an observer on that other object would see the "zero average velocity" object moving away from him/her).

Yes. An object moving at constant velocity would have zero acceleration.

If the velocity is zero, the object is not moving. So if it moves at all, it is changing direction.

either not moving or moving with a constant velocity

Yes, if it returns to its starting place, the average velocity for the cycle will be zero. The average SPEED, however, will not be zero.

If the object is moving at constant velocity, that's an indication that the net force on it is zero.

Velocity is a relative term. If we call that the object is moving and in particular direction, then there must be another object present, from witch it is moving away. and we can not say, witch object is moving away. If all object maintain the same position in respect to each other then, we will call them to have zero velocity.

The condition for an object to stay at rest or if moving, moving at a constant velocity is that the sum of forces acting on the object be zero or that no force acts on the object.

yes the acceleration is at zero because there is no change in acceleration if the velocity is constant

The Condition of Equilibrium, Force equal zero, is the condition of an object at rest or moving at constant velocity. Non-Equilibrium Condition, Force is not zero, is the condition for an object to move with increasing velocity.

Zero net force on a object means that the velocity of the object stays constant (this includes 0, when the object is not moving). Lets look at Newton's 2nd law of motion: Fnet=ma An object can never have a 0 mass (then it wouldn't exist). Therefore, the acceleration has to be 0 for the net force to be zero. Recall at acceleration is the change of velocity over time. In order for the acceleration to be zero, the velocity has to be constant. If the object is at 0 velocity (not moving), the object would remain unmoving when a net force of 0 is applied to it. If the object is moving at a certain velocity, it would remain at that velocity. Therefore, a zero not force cannot do anything to an object.

If there is acceleration (uniform or otherwise, but non-zero acceleration), the velocity changes. Constant velocity means that the velocity does not change.

Whenever velocity is constant, the acceleration is zero. This also works when the velocity is zero, the acceleration is zero. That pretty much means the object isn't moving. But, yes/ If velocity is constant, accleration is zero.

Yes. Velocity is speed per unit of time with a direction vector telling you which way the object in question is moving. Acceleration is a change in velocity - in any part of velocity. If something like, say, a rock is in deep space (a zillion light years from anything) and it's moving along unaffected by any gravity or other forces, it has some velocity (some speed in a given direction, or is moving at some distance per unit of time in a given direction), but it isn't changing speed or direction. If something is moving without changing its speed or its direction (either of which requires a force to act on the object - to accelerate the object), it has zero acceleration. Such an object is said to have a constant velocity and will have zero acceleration. Certainly if an object is not moving, it has zero velocity and zero acceleration, but that's probably not what is being asked. It has velocity (zero) and no acceleration. To recap, an object can have a non-zero velocity and zero acceleration.

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