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What is instantaneous velocity of a body in terms of its average velocity?
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
What is the average velocity of a 6.0 second interval?
The average velocity would be the total displacement over the total time interval. To calculate this, divide the total displacement by the total time to get the average velocity.
Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing the instant. Can it be less?
Yes, the velocity of an object at an instant of time can be greater than the average velocity over a time interval containing the instant, especially if the object is changing velocity rapidly. Similarly, it can also be less than the average velocity, especially if the object is reversing direction or slowing down during that time interval.
Average acceleration is the slope of a velocity vs time graph?
That's correct! The average acceleration of an object over a certain time interval is given by the slope of the line connecting the initial and final velocity points on a velocity vs. time graph during that interval. It is calculated by dividing the change in velocity by the time interval.
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.
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 instantaneous velocity of a body in terms of its average velocity?
The instantaneous velocity is the limit of the average velocity, as the time interval tends to zero. If you are not familiar with limits, basically you make the time interval very small and calculate the average velocity.
What is the average velocity of a 6.0 second interval?
The average velocity would be the total displacement over the total time interval. To calculate this, divide the total displacement by the total time to get the average velocity.
Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing the instant. Can it be less?
Yes, the velocity of an object at an instant of time can be greater than the average velocity over a time interval containing the instant, especially if the object is changing velocity rapidly. Similarly, it can also be less than the average velocity, especially if the object is reversing direction or slowing down during that time interval.
Is it possible for the average velocity of an object to be zero during some interval even thought its average velocity for the first half of the interval is not zero reexplain and cite an example?
Yes, it is possible for the average velocity of an object to be zero during a given interval even if its average velocity for the first half of the interval is not zero. This can occur when the object moves in opposite directions such that the distances traveled cancel out over the entire interval. For example, if an object moves 3 meters to the right and then 3 meters to the left in equal times, its average velocity for the entire interval would be zero.
Average acceleration is the slope of a velocity vs time graph?
That's correct! The average acceleration of an object over a certain time interval is given by the slope of the line connecting the initial and final velocity points on a velocity vs. time graph during that interval. It is calculated by dividing the change in velocity by the time interval.
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.
How do you find the average rate of change over an interval?
To find the average rate of change over an interval, you can calculate the difference in the function values at the endpoints of the interval, and then divide by the difference in the input values. This gives you the slope of the secant line connecting the two points, which represents the average rate of change over that interval.
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.
What is the formula to find accelerate?
To find acceleration, it is the change in velocity over the change in time. (Vf-Vi)/t. where: Vf is final velocity, Vi is initial velocity, and t is the time interval.
What are the difference of instantaneous velocity and average velocity?
Average velocity in a direction is calculated as the displacement in that direction divided by the total time taken. As the time interval is reduced, the displacement over that period also reduces and the limiting value of that ratio is the instantaneous velocity.
How can one determine the average acceleration from a velocity-time graph?
To determine the average acceleration from a velocity-time graph, you can calculate the slope of the line connecting the initial and final velocity points on the graph. This slope represents the average acceleration over that time interval.
