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A dog running in a circle, stopping where it started, would have a net displacement of zero, an average velocity of zero, and an average acceleration of zero regardless of the time involved.
This is because the dog has exerted equal work in moving toward his starting point as moving away from that point. A similar situation exists where a book is lifted from a desk and then dropped back : the book has the same potential energy as before it was lifted, the additional energy having been removed by the force of gravity.
What else can I help you with?
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 direction of instantaneous acceleration?
The direction of instantaneous acceleration is in the direction of the change in velocity at that moment. If the velocity is increasing, the acceleration is in the same direction as the velocity. If the velocity is decreasing, the acceleration is in the opposite direction of the velocity.
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.
Compare and contrast velocity and instantaneous speed?
velocity is just a general term for speed (it could be average velocity or instantaneous velocity). Instantaneous velocity/speed (same thing) is the speed at that second. If you are familiar with calculus, it is the derivative of the position graph. Whereas average velocity is how fast the object is going in, for example, 1 hour, it is the speed that is maintained the whole hour (or the average) Instantaneous would be that at the second, at for example t=1.425, the speed is 24m/h . something along those lines
Does the instantaneous speed ever equal the magnitude of its average velocity?
Yes. For a start, this happens when the object moves at a constant velocity. Also, if moving in a straight line, even if the object changes speed there must needs be a moment when its instantaneous speed is equal to its average speed - since it cannot change speed suddenly, it must do so gradually.
Can the average velocity of the body be the same as instantaneous velocity?
Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.
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.
Can the average velocity of a body be the same as the instantaneous velocity?
Yes, but in uniform motion.
What is the direction of instantaneous acceleration?
The direction of instantaneous acceleration is in the direction of the change in velocity at that moment. If the velocity is increasing, the acceleration is in the same direction as the velocity. If the velocity is decreasing, the acceleration is in the opposite direction of the velocity.
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.
What Is the difference between velocity and average velocity?
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.
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.
Are instantaneous velocity and acceleration the same?
no.
What does velocity divided by the time interval equal?
It equals an undefined entity. The average acceleration of an object equals the CHANGE in velocity divided by the time interval. The term "change in velocity" is not the same as the term "velocity", "average velocity", or "instantaneous velocity".
Compare and contrast velocity and instantaneous speed?
velocity is just a general term for speed (it could be average velocity or instantaneous velocity). Instantaneous velocity/speed (same thing) is the speed at that second. If you are familiar with calculus, it is the derivative of the position graph. Whereas average velocity is how fast the object is going in, for example, 1 hour, it is the speed that is maintained the whole hour (or the average) Instantaneous would be that at the second, at for example t=1.425, the speed is 24m/h . something along those lines
Does the instantaneous speed ever equal the magnitude of its average velocity?
Yes. For a start, this happens when the object moves at a constant velocity. Also, if moving in a straight line, even if the object changes speed there must needs be a moment when its instantaneous speed is equal to its average speed - since it cannot change speed suddenly, it must do so gradually.
When will the average acceleration be equal to instantaneous velocity?
Never.Average velocity is total displacement (final position minus initial position) divided by the total time: vave = (xf-xi)/tAcceleration is the rate at which your velocity is changing or change in velocity over time: a= (vf-vi)/tThese two quantities may have the same numerical value but will never have the same units.Average velocity for a trip can equal instantaneous velocity at a certain point during the trip, however, at any time during a trip in which the velocity is constant or at half way through the total time of a trip where the acceleration is constant.
