The PE of a \( 2 \mathrm{~kg} \) particle, free to move along \( x ...

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The PE of a \( 2 \mathrm{~kg} \) particle, free to move along \( x \)-axis is given by \( V(x)=\left(\frac{x^{3}}{3}-\frac{x^{2}}{2}\right) J \). The total mechanical energy of the particle is \( 4 \mathrm{~J} \). Maximum speed (in \( \mathrm{ms}^{-1} \) ) is
(1) \( \frac{1}{\sqrt{2}} \)
(2) \( \sqrt{2} \)
(3) \( \frac{3}{\sqrt{2}} \)
(4) \( \frac{5}{\sqrt{6}} \)
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