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The average velocity over an time interval is the average of the instantaneous velocities for all instants over that period.

Conversely, as the time interval is reduced, the average velocity comes closer and closer to the instantaneous velocity.

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Q: What is the relationship between average velocity and instantaneous velocity?
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Difference between instantaneous and average velocity?

Instantaneous velocity is the velocity of an object at a specific moment in time, while average velocity is the total displacement of an object divided by the total time taken to cover that displacement. Instantaneous velocity gives information about an object's exact speed and direction at a particular point, whereas average velocity provides a more general overview of an object's movement over a given distance.


What Is the difference between velocity and average velocity?

Velocity is an instantaneous measure. Mathematically, it is the limiting value of the change in the position vector divided by the change in time as the latter tends to zero. Over larger time periods, the average velocity is the total change in the position vector divided by the total change in time. If velocity is constant, the average velocity will be the same as the instantaneous velocity.


Instantaneous speed at an instant is equal to magnitude of instantaneous velocity at that instant?

Yes, that's correct. Instantaneous speed at an instant refers to the rate at which an object is moving at that specific moment, while the magnitude of instantaneous velocity at that instant includes both speed and direction. The magnitude of the instantaneous velocity vector represents the instantaneous speed.


What is the difference between average acceleration and instantaneous acceleration?

Average acceleration is the change in velocity over a specific time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration gives an overall picture of how velocity changes over time, while instantaneous acceleration gives the acceleration at a precise point in time.


What does a distance time graph show?

A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.


What is the difference between instantaneous velocity and instantaneous speed?

Instantaneous velocity is a vector quantity that includes both the speed and direction of an object at a specific moment. Instantaneous speed, on the other hand, is a scalar quantity representing only the magnitude of the velocity without regard to direction.


What do the following terms mean-Snells law-Threshold frequency-instataneous velocity-wave mechanics-Youngs modulus-zeean effect?

Snell's law is a description of the relationship between the angles of incidence and refraction. Instantaneous Velocity is the velocity at one point.


What's the difference between instantaneous velocity and instantaneous acceleration?

Instantaneous velocity represents the rate of change of an object's position at a specific moment in time, while instantaneous acceleration represents the rate of change of an object's velocity at a specific moment in time. In other words, velocity measures how fast an object is moving, while acceleration measures how fast the object's velocity is changing.


What is the slope of a staircase?

Average or instantaneous? The average is the height divided by the horizontal distance, whereas the instantaneous alternates between zero and infinity.


What is the difference between instantaneous speed and average speed?

Instantaneous speed is the speed at a particular moment in time.The average speed of an object tells you the (average) rate at which it covers distance


What is the differens between average velocity and instant velocity?

Think of average velocity as "overall" velocity. For example, if I walk down the block (let's say it's a distance of 100 meters), and it takes me 5 minutes, my AVERAGE velocity is just:v_ave = Δx/Δtwhere Δx is the change in position and Δt is the elapsed time.v_ave = (100 m) / (5 min)v_ave = (100 m) / (300 sec)v_ave = (1/3) m/sBut instantaneous velocity is a different concept: let's say for a while I walked, then I jogged, then I stopped, then I sprinted, then I walked. The overall trip still ended up taking me 5 minutes, so my average velocity is just as I've calculated it above, but my INSTANTANEOUS velocity changes as I change speeds at any given time in between.Hope this helps!


What is the relation between instantaneous speed and instantaneous velocity?

If I drive away from my house at 8:00 in the morning and return at 6:00 PM that same evening with 50 more miles showing on the car, you know immediately that my average speed for the day was 5 mph. But you don't know a thing about how much of that time I was stopped, how much in motion, or what my speed was at any moment between 8 and 6, because there's no necessary relationship between instantaneous and average speed. I guess it's probably true to say that there has to be some instant during any period of time when the instantaneous speed must be equal to the average speed during the same period. That sounds like a nice theorem, and its proof ought to be good for some mathematical recreation, but it doesn't seem too useful.