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AakashPandita
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Do we get function for velocity or do we get the function for the total change in velocity?
Integration of acceleration is the process of finding the original function of acceleration from its derivative, which is velocity. It essentially involves reversing the process of differentiation.
Integration of acceleration is important because it helps us understand the motion and behavior of objects in the physical world. It is used to determine the position, velocity, and acceleration of objects over time.
Integration of acceleration can be calculated using various mathematical techniques such as the fundamental theorem of calculus, u-substitution, and integration by parts. It involves finding the antiderivative of the function of acceleration.
Integration of acceleration has various applications in physics and engineering. It is used in the study of motion, kinematics, and dynamics of objects, and is also important in fields such as robotics, aerospace engineering, and biomechanics.
Yes, integration of acceleration has certain limitations. It assumes that the acceleration of an object is constant over a given time interval, which may not always be true. Additionally, it may not be possible to find an exact solution for the antiderivative in some cases, requiring the use of numerical methods.