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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?
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.stunning said:wel i think that it can b greater...
Instantaneous velocity is the velocity of an object at a specific moment in time. It is the rate of change of an object's position with respect to time at that exact moment.
Instantaneous velocity is the velocity at a specific point in time, while average velocity is the total displacement divided by the total time taken. Average velocity gives an overall picture of an object's motion, while instantaneous velocity gives information about its motion at a specific moment.
Yes, instantaneous velocity can be negative. This means that the object is moving in the opposite direction of its positive velocity. For example, if an object is moving to the left, its velocity would be negative, while if it is moving to the right, its velocity would be positive.
Instantaneous velocity can be calculated by taking the derivative of an object's position function with respect to time. This can be written as v(t) = dx/dt, where v(t) is the instantaneous velocity, x is the position function, and t is time.
Instantaneous velocity is important because it allows us to understand an object's motion at a specific moment in time. It can also help us to analyze the acceleration of an object, as acceleration is the rate of change of velocity with respect to time.