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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/Δt
where 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/s
But 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 else can I help you with?
Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing the instant. Can it be less?
Yes, the velocity of an object at an instant of time can be greater than the average velocity over a time interval containing the instant, especially if the object is changing velocity rapidly. Similarly, it can also be less than the average velocity, especially if the object is reversing direction or slowing down during that time interval.
Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, average velocity is the total displacement divided by the total time taken. The slope of the tangent to the curve on a velocity-time graph at a specific instant of time gives the instantaneous velocity at that moment, not the average velocity.
What is the best definition of velocity?
The speed of something in a given direction.
What is a instantaneous velocity?
Instantaneous velocity is the velocity of an object at a specific instant in time. It is the rate of change of position of an object with respect to time at that exact moment. This instant velocity may differ from the average velocity over a given time interval.
When is the instantaneous velocity equal to avg velocity?
Mainly, when the velocity doesn't change. Also, in the case of varying velocity, the instantaneous velocity might, for a brief instant, be equal to the average velocity.
What is instantaneous velocity of a body in terms of its average velocity?
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
Difference between instantaneous and average velocity?
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)
What is instantaneus velocity?
Instantaneous velocity is the velocity of an object at a specific instant in time. It represents the object's speed and direction at that moment. It is calculated as the limit of the average velocity as the time interval approaches zero.
What is instantaneous velocity or speed?
It is the speed or velocity at a particular instant.
What is the correct definition of instantaneous velocity?
The velocity of an object at a particular instant or at a particular point of its path is called instantaneous velocity. In another word, the instantaneous velocity of an object is defined as the limiting value of the average velocity of the object in a small time interval around that instant , when the time interval approaches zero. v = dx/dt , where dx/dt is the differential coefficient of displacement "x" w.r.t. time "t"
When an object and acceleration is zero at some instant t in time its velocity is?
If an object's acceleration is zero at a specific instant in time, its velocity can either be zero or a constant non-zero value at that instant. This means that the object could be either at rest or moving with a constant velocity at that particular moment.
Instantaneous speed at an instant is equal to magnitude of instantaneous velocity at that instant?
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.
