Acceleration - Acceleration The velocity of an object is...

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Acceleration The velocity of an object is defined in terms of the change of position of that object over time. A quantity used to describe the change of the velocity of an object over time is the acceleration a. The average acceleration over a time interval between t 1 and t 2 is defined as: Note the similarity between the definition of the average velocity and the definition of the average acceleration. The instantaneous acceleration a is defined as: From the definition of the acceleration, it is clear that the acceleration has the following units: A positive acceleration is in general interpreted as meaning an increase in velocity. However, this is not correct. From the definition of the acceleration, we can conclude that the acceleration is positive if This is obviously true if the velocities are positive, and the velocity is increasing with time. However, it is also true for negative velocities if the velocity becomes less negative over time. 2.4. Constant Acceleration Objects falling under the influence of gravity are one example of objects moving with constant acceleration. A constant acceleration means that the acceleration does not depend on time: Integrating this equation, the velocity of the object can be obtained: where v 0 is the velocity of the object at time t = 0. From the velocity, the position of the object as
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This document was uploaded on 11/25/2011.

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Acceleration - Acceleration The velocity of an object is...

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