A particle of mass \( m \) executes simple harmonic motion with amp...

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A particle of mass \( m \) executes simple harmonic motion with amplitude a and frequency \( v \). The average kinetic energy during its motion from the position of equilibrium to the end is
(a) \( 2 \pi^{2} \mathrm{ma}^{2} v^{2} \)
(b) \( \pi^{2} \mathrm{ma}^{2} v^{2} \)
(c) \( \frac{1}{4} \mathrm{ma}^{2} \mathrm{v}^{2} \)
(d) \( 4 \pi^{2} \mathrm{ma}^{2} v^{2} \)
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