Math and Arithmetic
Physics

# What is the relationship between average velocity and instantaneous velocity?

121122123 ###### 2011-10-01 10:24:28

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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## Related Questions the instantaneous velocity or speed is the speed a body travels at a particular and average velocity is the total distance an object Average velocity is simply displacement over time. Instantaneous velocity is the velocity at any given instant, or the displacement over an infinitely small amount of time. average velocity is the displacement over time while instantaneous velocity refers to the velocity of an object at one point or at as pecific point of time. *displacement is the difference between the initial position and the final position of an object. (distance 2 - distance 1) 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. Speed, instantaneous or not, is a term used for how fast an object travels. Velocity, instantaneous or not, is a term used for how fast an object travels in a particular direction. They are the same thing, however velocity is 'in a given direction', speed is in any direction. Instantaneous velocity is the rate at which an object is moving in a uniform direction, distance per unit time, at any given instant in time. instantaneous acceleration is the rate at which an object's velocity is changing at any given instant in time 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. The relationship between velocity and acceleration is that they both have rate of changes. what is the relationship between particle size and the stream velocity? describe the relationship between stream velocity,erosion,transport and deposition Average or instantaneous? The average is the height divided by the horizontal distance, whereas the instantaneous alternates between zero and infinity. what is the relationship between the angular velocity of gear 1 and the angular velocity of gear 2?  describe and explain the relationship between the diameter of vessels and the velocity of blood Instantaneous speed is speed measured at a specific time. Speed is an average. That's correct, the instantaneous magnitudes are equal. Non-instantaneous values may not be equal. For example, to find average speed, between two points, you divide the actual path distance by the time, but for average velocity you divide the straight line distance, between the points, by the time. The straight line distance could be quite a bit shorter then the actual path distance (for curved motion) so you could get a big difference between those averages. When calculating "instantaneous" values, however, the difference between "actual path distance" and "straight line distance" becomes insignificant, because you are using distances for infintesimally small time intervals.  Speed has only size. Velocity has size and direction.If three drivers are driving their cars at 50 mph headed north, 50 mph headed south, and50 mph headed east, their speeds are all equal, but their velocites are all different.Instantaneous speed is the speed at an instant in time. A point on the edge of an LP record hasthe same instantaneous speed whenever you look at it.Instantaneous velocity is the velocity ... speed and direction ... at an instant in time. A point on theedge of an LP record has a different instantaneous velocity every time you look at it. Even thoughthe speed is always the same, the direction keeps changing. 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 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 = &Delta;x/&Delta;twhere &Delta;x is the change in position and &Delta;t 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! The relationship between mechanical advantage, velocity ratio &amp; efficiency is:- efficiency=Mechanical Advantage/Velocity Ratio Snell's law is a description of the relationship between the angles of incidence and refraction. Instantaneous Velocity is the velocity at one point. The relationship is that velocity is speed and direction ###### PhysicsMath and ArithmeticScienceHuman Anatomy and PhysiologyFord Bronco IISimilarities Between Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.