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State the principle of superposition ? W...

State the principle of superposition ? Why do we use the phrase 'algebraic sum' in the statement ?

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Statement I : The principle of superpositions states that amplitudes , velocities , and , accelerations of the particles of the medium due to the simultaneous operation of two or more progressive simple harmonic waves are the vector sum of the separate amplitude , velocity and acceleration of those particles under the effect of each such wave acting alone in the medium Statement II : Amplitudes , velocities and accelerations are linear functions of the displacement of the particle and its time derivates.

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