The potential energy of a \( 1 \mathrm{~kg} \) particle free to move along the \( x \)-axis is g...

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The potential energy of a \( 1 \mathrm{~kg} \) particle free to move along the \( x \)-axis is given by
\[
V(x)=\left(\frac{x^{4}}{4}-\frac{x^{2}}{2}\right) \mathrm{J}
\]
P
W
The total mechanical energy of the particle is \( 2 \mathrm{~J} \). Then, the maximum speed (in \( \mathrm{m} / \mathrm{s} \) ) is
(a) \( \sqrt{2} \)
(b) \( 1 / \sqrt{2} \)
(c) 2
(d) \( 3 / \sqrt{2} \)
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