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Q: If an object's average velocity is nonzero over some time interval does this mean that its instantaneous velocity is never zero during the interval?

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Yes. As long as the inital and end positions are different, you will have a nonzero average velocity.

It is not possible because the average velocity is equal to the displacement in a given time interval, ie: V = (displacement) / (time interval) As the zero displacement average speed will also be zero.

No, you cannot have a zero displacement and a nonzero average velocity. If the object has not moved any where how can you attain a nonzero velocity? You cannot.

A simple example is a ball tossed into the air. When the ball reaches its apex -- its highest point -- its instantaneous velocity is zero. If we assume that up is the positive direction, the ball's velocity is positive when it is initially tossed into the air, but it slows immediately. That is, its velocity becomes less positive until it reaches zero velocity. After that point, the velocity becomes increasingly negative (because down is the negative direction). Until the ball returns to earth and reaches the height at which it was initially thrown, its average velocity is non-zero. If the ball is allowed to hit the ground, its average velocity will be slightly negative, which is still non-zero. But it still had an instant -- at its apex -- when its velocity was zero.

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,

Yes, you can. Example: An object going around in a circle.

no

Any object which moves has velocity.Velocity is a vector quantity which includes direction so the object's velocity will change at every point in time if there is a nonzero acceleration.An object going around in circles uniformly will have a zero average velocity when measured as displacement over a time interval if the time interval is a multiple of the period of revolution. Speed is similar to velocity but is a scalar quantity independent of direction; you can think of it as distance covered traveling per unit of time; that is what your speedometer measures.

Not at all. Consider this example: -- I start out at 8:00 in the morning. -- I head east, drive 5 miles in 15 minutes, and park my car at 8:15. -- I go into my office, close the door, and spend the next 9-1/2 hours on Wiki.Answers. -- I leave the office exhausted at 5:45 in the evening. -- I head east again, drive another 5 miles in the next 15 minutes, and stop at a bar at 6:00. ==================================================== I left home 10 hours ago, and I am now 10 miles east of my home, enjoying a tall cold one. My average velocity for the 10 hours is 1 mile per hour east. The average is non-zero, even though I was at my desk playing computer games from 8:15 until 5:45. At any instant during 95% of the day, my instantaneous velocity was zero.

Any object which moves has velocity.Velocity is a vector quantity which includes direction so the object's velocity will change at every point in time if there is a nonzero acceleration.An object going around in circles uniformly will have a zero average velocity when measured as displacement over a time interval if the time interval is a multiple of the period of revolution. Speed is similar to velocity but is a scalar quantity independent of direction; you can think of it as distance covered traveling per unit of time; that is what your speedometer measures.

The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.

Yes, but only for an instant.

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