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Q: Which describes the average velocity of an ant at a constant speed ina straight line?

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The slope of the ant's displacement vs. time graph The total displacement divided by the time.

The slope of the ant's displacement vs. time graph The total displacement divided by the time.

yes

Yes.

Yes, if the instantanious velocity is constant.

The total displacement divided by the time. The slope of the displacement vs. time graph.

The total displacement divided by the time. The slope of the displacement vs. time graph.

No. If it its moving at constant velocity, its instantaneous velocity would be the same as its constant velocity.

If the velocity is constant (i.e., there is no acceleration). Terminal velocity is an example, although any constant velocity would fit this description.

Only if the velocity is constant.

If, as you say, its acceleration is "constant", then the average is exactly equal to that constant.

average speed.

The accleration must be constant.

The magnitude of average velocity of an object equal to its average speed if that object is moving with CONSTANT velocity.

Avg velocity is the speed you are going. Constant acceleration is the rate you increase your speed. = =

Mainly when the velocity is constant.

That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.

The question is inherantly flawed. A car traveling at a constant speed cannot accelerate, if it could it's speed would not be constant. "Constant speed" means that speed is not increasing or decreasing but remain consistent over time. For example, if you cover 10 feet during each second, your speed is constant. "Constant velocity" implies constant speed, but it has an additional constraint: you can't change your direction. If you travel constantly at 10 feet per second in a straight line, then your speed is constant and your velocity is constant. But if you travel constantly at 10 feet per second in a wiggly line (or a circle, or anything not straight), then your speed is constant but your velocity is NOT constant. If you travel at a constant speed but change direction, velocity is changed. Or if you travel in the same direction but change the speed, velocity is changed. Average speed is is easier: distance/time So, your question should read: Why can a car traveling at an average speed accelerate, but a car traveling at constant speed cannot? Or Why am I asking the wrong questions?

When an object is in constant motion (when there is no acceleration). At any point in that motion the average and instantaneous velocities will be the same.

No. Its velocity, average velocity and instantanous velocity will all be the same at any (or every) time an investigator makes an observation.

When there is no acceleration or when there is constant acceleration. When either of these cases is present, the graph of velocity versus time will be linear. When there is linear velocity, the average velocity will equal the instantaneous velocity at any point on the graph.

An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,

The average velocity is trying to find how fast the car is going at an average rate. However, constant velocity means that the car is going at an unchanged velocity. Say a car is going at 75 m/s and then changes to 50 m/s and then changes to 25 m/s in 30 minutes. The car is going at different velocities at different times. To find the average, you simply just add the 3 together, then divide by 3 giving you, 50 m/s In the 30 minutes, it's average velocity was 50 m/s However, for a car going at a constant velocity, it means that the velocity never changes. Say a car is going at a constant velocity for 30 minutes at 50 m/s. In those 30 minutes, the car will never change it's velocity and remain at 50 m/s. Constant means that it doesn't change.

Both are velocity functions. Instantaneous velocity is the derivative of the average velocity * * * * * They are both speed functions. Velocity is a vector related to speed but quite irrelevant in this context. An object rotating at a constant [angular] speed has a velocity that is continuously changing but that has no relevance.

The product of velocity and time yields distance travelled if the velocity is constant for the time in question. If velocity is not constant, one must first calculate the average velocity over a given time period before multiplying it by the time involved.