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Ibraheem
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Suppose a body moving in a curved path at a constant speed would its average velocity for a specific time period equal its final instantaneous velocity at the end of this period ?
Ibraheem said:Thank you for replying
So if we consider a circular path, I suppose that the instantaneous velocity will equal the constant speed since the magnitude of the displacement vector will equal the distance at some instance during the period ?
If the path is curved then v(instantaneous) is changing all the time. Its magnitude is constant (same value as its unvarying speed) and direction is what is changing.Ibraheem said:Thank you for replying
So if we consider a circular path, I suppose that the instantaneous velocity will equal the constant speed since the magnitude of the displacement vector will equal the distance at some instance during the period ?
Average velocity is the total displacement of an object divided by the total time taken. It is a measure of the overall rate of change of an object's position over a given time interval.
Average velocity can be calculated by dividing the change in position (Δx) by the change in time (Δt): average velocity = Δx/Δt.
Final instantaneous velocity is the velocity of an object at a specific moment in time, usually at the end of a given time interval. It is a measure of the object's speed and direction at that particular instant.
Final instantaneous velocity is a snapshot of an object's velocity at a specific moment in time, while average velocity is the overall rate of change of an object's position over a given time interval. Average velocity takes into account the object's speed and direction throughout the entire interval, while final instantaneous velocity only considers the velocity at a single point in time.
Average velocity is the average of all the instantaneous velocities within a given time interval. Final instantaneous velocity is one of these instantaneous velocities. Therefore, average velocity and final instantaneous velocity are related, but they are not the same thing.