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Rationale: The motion of a mass-spring system undergoing simple harmonic motion (SHM) is described by the equation x(t) = Acos ( ωt + φ), where x(t) is the displacement from the equilibrium position, A is the amplitude, ω is the angular frequency, and ϕ is the phase constant. The velocity of the mass is the first derivative of the displacement with respect to time: The maximum value of the velocity occurs when ∣ sin(ωt + ϕ) ∣ is maximum, which is 1. Therefore, the magnitude of the maximum velocity (vmax) is:
Therefore, the correct answer is option (d).
The model based on the Tamil Nadu Human Development Index
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