The force on a particle of mass \( m \) placed on smooth horizontal surface is \( F=\left(2 x^{2...

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The force on a particle of mass \( m \) placed on smooth horizontal surface is \( F=\left(2 x^{2}-4\right) \mathrm{N} \) directed along positive \( X \)-axis. The particle is projected with minimum speed from \( x=2 \mathrm{~m} \) towards mean \( P \) position along \( X \)-axis for crossing the origin, then the kinetic energy at
(a) the origin must be zero
(b) the origin is non-zero
(c) \( x=\sqrt{2} \) must be zero
(d) \( x=2 \mathrm{~m} \) may be zero
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