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Q: Does the position-time graph of an object moving with a constant average velocity is always a straight line?
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When is an object's average velocity equal to its instantaneous 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.


Would instantaneous velocity yield the same value as average velocity?

Only if the velocity is constant.


An object has initial velocity in the upward direction a final velocity in the downward direction and undergoes constant acceleration What can you say about its average acceleration?

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


Why does a car traveling at constant speed can accelerate while a car at constant velocity connot?

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 is the average velocity is equal to the instantaneous velocity?

Average velocity equals the average speed if (and only if) the motion is in the same direction. If not, the average speed, being the average of the absolute value of the velocity, will be larger.


Can the average speed ever equal the instantaneous speed?

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.


When is speed equal to the magnitude of velocity?

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.


What is the difference between constant velocity and average velocity?

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.


Which describes the average velocity of an ant traveling at constant speed in a straight line on the kitchen counter?

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


Which describes the average velocity of an ant traveling at a constant speed in a straight line on the the kitchen counter?

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


Can a body have nonzero average speed but have zero average velocity give example?

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,


How is the velocity-time graph related to the distance traveled?

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.