Physics

What is instantaneous velocity of a body in terms of its average velocity?

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2013-10-07 12:57:55
2013-10-07 12:57:55

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.

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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.


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



average acceleration is the average of the acceleration of a body in its entire motion where as instantaneous acceleration is the rate of change of velocity at an instant. it may be a function of time or velocity or displacement.


The slope of a velocity-time graph that shows uniform acceleration is the actual acceleration. Instantaneous velocity is the velocity of a body at a particular moment in time.


Since speed is a scalar quantity, the only way the average speed can be zero is if the instantaneous speed is at all times zero, making it not a moving body, so no on the average speed. The average velocity, on the other hand, can easily be zero. The simplest example is you running in a circle.


Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.



Of course. When you're sailing along in the car on the highway with the "cruise control" on, and the ride is smooth as silk and the speedometer is pointing at ' 60 ' and never moving, your average and instantaneous speed are equal, until you do something to change your speed. And if the road is straight and you keep moving in a straight line, then the same statement is true of your velocity, as well as your speed.




Yes, if it returns to its starting place, the average velocity for the cycle will be zero. The average SPEED, however, will not be zero.


You can transform linear velocity into rotational velocity with a rolling wheel. Rotational velocity can be measured inside a gravity field because of generated centrifugal force. When you suspend your arms freely while rotating, the angle between your body and your arm is a measure for the rotational speed.


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,



Instantaneous speed is the speed of a body at any one instant. There is really no such thing as the instantaneous speed, it is merely the average speed over a very short space of time.


Centripetal force is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path.I linked my source.


You cannot because a displacement-time graph is concerned only with radial motion: displacement from a fixed point of reference. Any transverse motion is completely ignored. Thus, if you had a body going around in a circle about the point of reference, its speed would be recorded zero!


Acceleration at the point of zero vertical velocity will be equivalent to gravitational acceleration on that body. On Earth, for example, this is around 9.8 meters per second per second (9.8m/s2).


Centripetal force is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path. - See more at: http://www.chacha.com/question/what-is-the-path-of-a-moving-body-whose-acceleration-is-constant-in-magnitude-at-all-times-and-is-perpendicular-to-the-velocity#sthash.pqrkWxfT.dpuf


Yes; for example, an object moving in a circle.


While a body in motion cannot have zero average velocity, there are many examples where the average velocity - after selected intervals - is zero. For example: a pendulum, or any object under simple harmonic motion, after a complete number of cycles; a rotating object (point on a wheel or hand of a clock) after a whole number of circuits.


Yes it is possible. If a body goes round a circular path then distance covered by one full rotation will be 2 pi r But the total displacement is 0. Hence the average speed exists but average velocity does not exist.


Yes. it is possible to have average speed (even average velocity as vector, <v> ) to be zero. But the velocity in a given time is not zero. A famous example is electron in magnetic field. It has velocity but orbiting (classically), however it's average position is the same (quantum mechanically), so the electron stays there and do not go anywhere (no current).


To accelerate a body one must change its velocity or direction at an instantaneous moment. Since in a the velocity is uniform the direction at every point on the circular path is different. Thus making it accelerated.



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