Physics

# Is average acceleration equal to instantaneous acceleration for a uniformly accelerated car?

###### Wiki User

Yes. The average of a list of copies of the same number is the same number.

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## Related Questions

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.

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).

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

Either acceleration, average speed, direction, or instantaneous speed.

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.

You can't tell from the information given. All you know is that the average acceleration is (change in speed) divided by (time for the change) = (6/8) = 0.75 meters per second2. The force required depends on the mass of the object to be accelerated by the force.

The average acceleration can be obtained by finding the slope of the graph. The instantaneous acceleration is found by drawing a tangent to a particular point on the graph (instant) and finding the slope of than tangent.

There are several definitions. not just one. Average velocity in a direction = Average displacement (distance) in that direction/time Instantaneous velocity in a direction = derivative of displacement in that direction with respect to time Average velocity in a direction = Initial velocity in that direction + Average acceleration in that direction * time Instantaneous velocity in a direction = Definite integral of acceleration in that direction with respect to time, with initial velocity at t = 0 Then there are others in which time is eliminated.

There are, of course, several formulae that involve acceleration. The basic definition of acceleration is: acceleration = delta velocity / delta time, that is, to get average acceleration, divide the difference of velocity by the time that passed. The same formula also gives you the instant acceleration, if the acceleration is constant. If you want to get instantaneous acceleration, and the acceleration changes, then you need calculus: acceleration = dv / dt (that is, take the derivative of the velocity).

The tangent at a point on the position-time graph represents the instantaneous velocity. 1. The tangent is the instantaneous slope. 2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.

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

Average speed is computed for the entire duration of the trip, and instantaneous speed is measured at a particular instant.