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A particle is moving in a straight line with S.H.M. of amplitude r. At a distance s from the mean position of motion, the particle receives a blow in the direction of motion which instantaneously doubles the velocity . Find the new amplitude.

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To solve the problem step by step, we will follow the reasoning presented in the video transcript: ### Step 1: Understand the initial conditions We know that the particle is undergoing Simple Harmonic Motion (S.H.M.) with an amplitude \( R \). The position of the particle from the mean position is \( S \). ### Step 2: Write the expression for velocity in S.H.M. The velocity \( V \) of a particle in S.H.M. at a distance \( y \) from the mean position is given by the formula: \[ ...
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