In previous problem, the particle is projected with minimum speed from \( x=2 \mathrm{~m} \) tow...

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In previous problem, the particle is projected with minimum speed from \( x=2 \mathrm{~m} \) towards mean position along \( X \)-axis for crossing the origin, then
(a) the minimum initial kinetic energy is \( \frac{8}{3}(\sqrt{2}-1) \)
(b) the minimum kinetic energy at origin is just greater than \( \frac{8 \sqrt{2}}{3} \mathrm{~J} \)
(c) the minimum kinetic energy at \( x=\sqrt{2} \mathrm{~m} \) is just greater than or equal to zero
(d) the minimum kinetic energy at origin is \( 4 \mathrm{~J} \)
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