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Simple Harmonic Motion

JEE Main 2024 (Online) 9th April Morning Shift

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The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of \(4 \mathrm{~m}, 2 \mathrm{~ms}^{-1}\) and \(16 \mathrm{~ms}^{-2}\) at a certain instant. The amplitude of the motion is \(\sqrt{x}, \mathrm{~m}\) where \(x\) is _________.

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