Math and Arithmetic

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Kinematics

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No. Its velocity, average velocity and instantanous velocity will all be the same at any (or every) time an investigator makes an observation.

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0No. If it its moving at constant velocity, its instantaneous velocity would be the same as its constant velocity.

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.

At a small time interval, the average velocity is approximately equal to the instantaneous velocity. However, the values of the average velocity and the instantaneous velocity approach each other , as the length of the time interval is decreased more and more.

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.

Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.

When an object is in constant motion (when there is no acceleration). At any point in that motion the average and instantaneous velocities will be the same.

Only if the velocity is constant.

It equals an undefined entity. The average acceleration of an object equals the CHANGE in velocity divided by the time interval. The term "change in velocity" is not the same as the term "velocity", "average velocity", or "instantaneous velocity".

Mainly when the velocity is constant.

If the velocity is constant (i.e., there is no acceleration). Terminal velocity is an example, although any constant velocity would fit this description.

Average velocity in a direction is calculated as the displacement in that direction divided by the total time taken. As the time interval is reduced, the displacement over that period also reduces and the limiting value of that ratio is the instantaneous velocity.

When there is no acceleration or when there is constant acceleration. When either of these cases is present, the graph of velocity versus time will be linear. When there is linear velocity, the average velocity will equal the instantaneous velocity at any point on the graph.

Yes, but only if the instantaneous velocity remains zero during the time inerval. If you are speaking of average velocity over an interval, all bets are off.

That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.

Both are velocity functions. Instantaneous velocity is the derivative of the average velocity * * * * * They are both speed functions. Velocity is a vector related to speed but quite irrelevant in this context. An object rotating at a constant [angular] speed has a velocity that is continuously changing but that has no relevance.

Average velocity is the average of the velocty of entire motion where as instantaneous velocity is the velocity at an instant, it may be a function of time or displacement.

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"

No it does not. If the velocity is 10 m/s for 10 secs and 0 for another 10 secs, then the average is 5 m/s which is non-zero over the 20 second period. But the instantaneous velocity is zero for the period from 10 to 20 seconds.

The tangent at a point on the position-time graph represents the instantaneous velocity. 1. The tangent is the instantaneous slope. 2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.

If a 5 mile stretch of a bus journey lasts 15 minutes, then the average speed over this stretch was 20mph. But undoubtedly the bus achieved greater speeds than this, and it also spent time sitting still in queues. So the simple answer to the question is 'yes'. Less trivially and more interestingly: unless velocity is actually constant, then an object's average velocity over a finite time interval - and hence any empirical measurement of its speed - must (nearly always) differ from the instantaneous velocity. As the time period grow closer to zero, the measured velocity will converge on the instantaneous figure, but will never reach it.

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.

In that case, the average speed is the same as the instantaneous speed.

the instantaneous velocity or speed is the speed a body travels at a particular and average velocity is the total distance an object

Velocity is always a scalar, instantaneous or average doesn't matter.

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