Table of Contents
- 1 What condition is the average velocity equal to the instantaneous velocity?
- 2 Under what condition is the average velocity?
- 3 Under what condition is the magnitude of average velocity of an object equal to its average speed class 9?
- 4 Under what condition is average acceleration equal to instantaneous acceleration?
- 5 How is average velocity different from velocity?
- 6 What is the relationship between average velocity and instantaneous velocity?
- 7 What happens to average velocity when there is no acceleration?
What condition is the average velocity equal to the instantaneous velocity?
The average velocity of a body is the average of instantaneous velocities. Thus, average velocity becomes equal to the instantaneous velocity when the acceleration of the body is zero, i.e. the body travels at a constant velocity.
Are instantaneous and average velocity the same?
The instantaneous velocity is the specific rate of change of position (or displacement) with respect to time at a single point (x,t) , while average velocity is the average rate of change of position (or displacement) with respect to time over an interval.
Under what condition is the average velocity?
The magnitude of the average velocity of an object is equal to its average speed, only in one condition when an object is moving in a straight line. The average speed is the total distance travelled in a given time frame and velocity is the total displacement in the time frame.
At what condition is the nonzero average acceleration equal to the instantaneous acceleration at any point in time?
In the simple case where the acceleration is constant, then every instantaneous acceleration is equal to the average. In case the body is moving with a uniform acceleration i.e equal changes in velocities take place in equal intervals of time ,the instantaneous acceleration and average acceleration are equal.
Under what condition is the magnitude of average velocity of an object equal to its average speed class 9?
displacement
Therefore, the magnitude of average speed and average velocity are equal when the total distance covered is equal to the displacement.
Under which of the following conditions is the magnitude of the average velocity of a particle moving in one dimension equal to the average speed over some time interval?
If the particle moves along a line out changing the direction the magnitude of average velocity and average speed are the same.
Under what condition is average acceleration equal to instantaneous acceleration?
Average acceleration is equal to the velocity of an object at some final time minus the velocity of that same object at an initial time all divided by that time interval, 𝑡 final minus 𝑡 initial. Instantaneous acceleration is equal to the time derivative of velocity, 𝑑𝑣 𝑑𝑡. These two equations are connected.
When the average and instantaneous accelerations are equal?
How is average velocity different from velocity?
Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.
Under what condition is average velocity?
The average velocity of a body is defined as the total displacement of a body divided by the total time taken. By looking at both the formulae we can say that the magnitude of average velocity and average speed will be equal, when the total distance is equal to total displacement.
What is the relationship between average velocity and instantaneous velocity?
Expert Answers. Average velocity is equal to the instantaneous velocity when acceleration is zero. In order for acceleration of an object to equal zero, there can be no change in speed or direction. For example, when a car is traveling down a straight road on flat land using cruise control.
How do you find the average velocity of an object?
The instant when the instantaneous velocity equals the average velocity. Using algebra, the best we can do is calculate average velocity to greater and greater degrees of precision by using smaller and smaller intervals of time . Average velocity equals the total displacement divided by total time.
What happens to average velocity when there is no acceleration?
In that case, the average velocity equals the instantaneous velocity for the entire period when there is no acceleration. Then there’s the case where a body accelerates away from rest, decelerates to another location and reverses this process back to the starting point to finish at rest.