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EngTechno
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I know nothing about Instantaneous Velocity. Can you give me the very simple form of explanation? Is instantaneous velocity an exact velocity at an exact point?
Is instantaneous velocity an exact velocity at an exact point?
mathman said:Yes. One way of approaching it is through elementary calculus. Consider a small interval around the point of interest, and divide the interval by the time it takes to cross it. This is the average velocity. The limit as the interval goes to zero is the instantaneous velocity. If you use the length of the interval, you get speed.
JonF said:Another way to think of instantaneous velocity the rate displacement is changing at a given instant.
Ethereal said:This may sound a little naive, but if time and space were Planck-quantised, does it still make sense to speak of "instantaneous" velocity? The limit can't go to zero in this case.
Instantaneous velocity is the rate of change of an object's position at a specific moment in time. It is essentially the speed and direction of an object at a single instant.
Average velocity is calculated by dividing the total displacement of an object by the total time taken, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity gives an overall picture of an object's motion, while instantaneous velocity gives a more precise measurement.
Instantaneous velocity is calculated by taking the derivative of an object's position function with respect to time. This means finding the slope of the position-time graph at a specific point.
Instantaneous velocity is important in physics because it helps us understand the motion of objects in more detail. It allows us to analyze the changes in an object's velocity at any given moment, which can help us make predictions about its future motion.
Yes, instantaneous velocity can be negative. This means that the object is moving in the opposite direction of its positive velocity (or the direction it is moving in). Negative instantaneous velocity indicates that the object is slowing down or changing direction.