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urapeach
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Does anyone happen to know why the instantaneous velocity at the midpoint of a time interval is equal to the average velocity over the same time interval?? I can't seem to prove this reasoning.
Thanks!
Thanks!
Instantaneous velocity is the velocity of an object at a specific moment in time. It is calculated by finding the slope of the tangent line to the object's position-time graph at that particular time.
Average velocity is the total displacement of an object divided by the total time taken to cover that displacement. It gives an overall measure of an object's velocity over a certain distance and time interval.
In cases where an object is moving at a constant velocity, instantaneous velocity and average velocity will be the same. This is because there is no change in velocity over time, so the slope of the tangent line (instantaneous velocity) will be equal to the average velocity over the entire interval.
Instantaneous velocity is calculated by finding the slope of the tangent line to the object's position-time graph at a specific point in time. This can be done by taking the derivative of the position function with respect to time.
Yes, instantaneous velocity can be different from average velocity in cases where an object is accelerating. In these cases, the object's velocity is changing over time, so the instantaneous velocity at a certain moment will not be the same as the average velocity over the entire interval.