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Instantaneous velocity:

Suppose the velocity of the car is varying, because for example, you're in a traffic jam. You look at the speedometer and it's varying a lot, all the way from zero to 60 mph. What is the instantaneous velocity? It is, more or less, what you read on the speedometer. I'm assuming you've got a good speedometer that isn't too sluggish and can change its reading quite quickly. Your speedometer is measuring the the average velocity but one measured over quite a short time, to ensure that you're getting an up to date reading of your velocity.

So if you measure the displacement of the car over a time , you can use that to determine the average velocity of the car. What we want is to take the limit as goes to zero.

Most of the time we'll be working with instantaneous velocity, so we'll just drop the instantaneous, and call the above vthe velocity.

To justify that such a limit exists is something that you've hopefully had to grapple with already. For physics problems, this limit does indeed exist and gives the derivative

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13y ago

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Related Questions

If the instantaneous velocity of an object is constant then so is acceleration.?

the velocity increases at a constant rate


Is instantaneous velocity a vector or scalar quantity?

Instantaneous velocity is a vector quantity.


What is the Instantaneous velocity?

Instantaneous velocity is the velocity in difference displacement in shortest time or specific time interval.


Does light speed accelerate or is it instantaneous velocity?

Instantaneous.


When is the instantaneous velocity equal to avg velocity?

Mainly, when the velocity doesn't change. Also, in the case of varying velocity, the instantaneous velocity might, for a brief instant, be equal to the average velocity.


You want correct formula for instantaneous velocity?

v(t) = dsdt This should be the formula for instantaneous velocity.


What is the relationship between average velocity and instantaneous velocity?

The average velocity over an time interval is the average of the instantaneous velocities for all instants over that period. Conversely, as the time interval is reduced, the average velocity comes closer and closer to the instantaneous velocity.


What is a instantaneous velocity?

Instantaneous velocity is the velocity of an object at a specific instant in time. It is the rate of change of position of an object with respect to time at that exact moment. This instant velocity may differ from the average velocity over a given time interval.


Is instantaneous velocity the right answer to the question speed and direction of an object at a specific moment?

No, instantaneous velocity is the correct term for the speed and direction of an object at a specific moment. It describes how fast and in which direction an object is moving at an exact instant in time.


Would instantaneous velocity yield the same value as average velocity?

Instantaneous velocity and average velocity are not the same. Instantaneous velocity is the velocity at a specific moment in time, while average velocity is the total displacement over a given time interval. In general, they will not have the same value unless the motion is at a constant velocity.


Can the average velocity of the body be the same as instantaneous velocity?

Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.


At a given moment in time instantaneous speed can be though of as the magnitude of instantaneous of what?

At a given moment in time, instantaneous speed can be thought of as the magnitude of the instantaneous velocity of an object. Instantaneous velocity is the rate of change of an object's position at that specific moment in time.