Instantaneous velocity and time

AI Thread Summary
Instantaneous velocity can indeed be greater than average velocity over a time interval. For example, if a driver travels 50 miles in an hour, their average speed is 50 miles per hour, but they could reach speeds of 100 miles per hour at certain points during the trip. Conversely, instantaneous velocity can also be less than average velocity if the object slows down significantly at some moments. The discussion emphasizes that variations in speed are possible within the constraints of average velocity calculations. Understanding these concepts can be enhanced by graphing position versus time.
stunning
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can the instantaneous velocity of an object at an instant of time ever be greater in magnitude than the average velocity over a time interval containing the instant?can it ever be less?
 
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What are your ideas?
Did you try to draw a graph of position vs time?
 
What do you think?
 
wel i think that it can b greater...
 
stunning said:
wel i think that it can b greater...
Of course it can. You drive 50 miles and it takes you an hour, so your average speed is 50 miles/hour. But nothing about that stops you from driving 100 mph for the first mile, and then slowing down. (Or any number of variations, as long as it takes you an hour to complete the trip.
 
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