Physics
Thermodynamics and Statistical Mechanics

# When will the average acceleration be equal to the instantaneous acceleration?

###### Wiki User

Mainly when the velocity is constant.

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## Related Questions

The average acceleration of an object is equal to the instantaneous acceleration of that object if the acceleration is constant (i.e. linear when graphed). However, when there is not constant acceleration, there is no guarantee that the average acceleration is equal to the instantaneous acceleration (i.e. non-linear when graphed).

Average acceleration will be equal to instantaneous acceleration when an object has an uniform acceleration throughout its motion. Example : A car accelerating at 1m/s2 uniformly in a straight line.

Only if speed is constant. There can be no acceleration if the average speed is equal to the instantaneous speed.

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.

You have a contradiction in your question. Instantaneous acceleration is the acceleration at a certain moment in time. Average acceleration is the average over a time interval.

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.

Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.

If the object begins from rest and a constant force is applied to it, then at the end of one second, the magnitude of its velocity is numerically equal to the magnitude of its average acceleration, although the units are different.

Yes. In smooth linear motion, the average speed and the instantaneous speed are equal.

average acceleration is the average of the acceleration of a body in its entire motion where as instantaneous acceleration is the rate of change of velocity at an instant. it may be a function of time or velocity or displacement.

That's true throughout any period of time during which the acceleration is constant.

Instantaneous speed: The speed at which I'm moving right now, this instant.Average speed: (The distance I covered during some period of time) divided by (the length of time).I may have had different instantaneous speeds at different points during that time.Acceleration: The rate at which speed changes. Acceleration can also be instantaneous or average overa period of time.

The instantaneous acceleration is how fast velocity is changing at a specific instant.

instantaneous acceleration is the instantaneous change of velocity with respect to time.

For the instantaneous value of average velocity, average speed and average velocity are equal.

Suppose you accelerate in your car from stopped to 50 km.hr-1. When you were stopped your instantaneous speed was zero. At the end of the period of acceleration your instantaneous speed was 50 km.hr-1. If your rate of acceleration was constant then your average speed was 25 km.hr-1.

Acceleration is the derivative of velocity (a=dv/dt). If you are not familiar with calculus then it would be sufficient to say that the slope of the line tangent to the graph, only touches at one point, is equal to the instantaneous acceleration.

At a small time interval, the average velocity is approximately equal to the instantaneous velocity. However, the values of the average velocity and the instantaneous velocity approach each other , as the length of the time interval is decreased more and more.

Dividing change of velocity by the time it takes to change the velocity. If acceleration is not constant, this will give you the average acceleration during the period; to get the instantaneous acceleration, you have to take the derivative of the 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.

The acceleration. If the slope is only at a certain point then it's instantaneous acceleration and if the slope is made from two points then it's an average acceleration.

Mainly, when the velocity doesn't change. Also, in the case of varying velocity, the instantaneous velocity might, for a brief instant, be equal to the average velocity.

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".

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