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Answered 2010-08-19 19:45:11

In that case, the average speed is the same as the instantaneous speed.


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

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.

Yes, if the instantanious velocity is constant.

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

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. = =

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?

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.

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.

Position-Time GraphYou can graph motion on a position vs time graph. On a position vs time graph, position is on the y-axis and time is on the x-axis. If the velocity is constant, the graph will be a straight line and the slope is average velocity. If the motion is accelerating, the graph will be a curved line.Velocity-Time GraphYou can also graph motion on a Velocity-Time graph. On a velocity vs time graph, velocity is on the y-axis, time is on the x-axis. If the graph is a straight line, velocity is constant and the slope is average acceleration. Also, on a velocity vs time graph, the area under the line is displacement.Refer to the related link for illustrations of the different graphs of motion and their meanings.

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.

Acceleration = Change in velocity divided by the change in time. This formula only works if velocity is constant. If velocity is not constant, find the acceleration for both points in time. Then add the two accelerations and divide by 2.

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.

Velocity is an instantaneous measure. Mathematically, it is the limiting value of the change in the position vector divided by the change in time as the latter tends to zero. Over larger time periods, the average velocity is the total change in the position vector divided by the total change in time. If velocity is constant, the average velocity will be the same as the instantaneous velocity.

The area between the graph and the x-axis is the distance moved. If the velocity is constant the v vs t graph is a straight horizontal line. The shape of the area under the graph is a rectangle. For constant velocity, distance = V * time. Time is the x-axis and velocity is the y-axis. If the object is accelerating, the velocity is increasing at a constant rate. The graph is a line whose slope equals the acceleration. The shape of the graph is a triangle. The area under the graph is ½ * base * height. The base is time, and the height is the velocity. If the initial velocity is 0, the average velocity is final velocity ÷ 2. Distance = average velocity * time. Distance = (final velocity ÷ 2) * time, time is on the x-axis, and velocity is on the y-axis. (final velocity ÷ 2) * time = ½ time * final velocity ...½ base * height = ½ time * final velocity Area under graph = distance moved Most velocity graphs are horizontal lines or sloping lines.

The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

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