A point particle of mass \( 0.5 \mathrm{~kg} \) is moving along the \( \mathrm{x}- \) axis under...

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A point particle of mass
\( 0.5 \mathrm{~kg} \) is moving along the
\( \mathrm{x}- \) axis under a force
described by the potential
energy \( \mathrm{V} \) shown below. It
is projected towards the
right from the origin with a
speed \( v \). what is the
minimum value of \( v \) for
which the particle will
[KVPY 2013] escape infinitely far away from the origin
(a) \( 2 \sqrt{2} m s^{-1} \)
(b) \( 2 m s^{-1} \)
(c) \( 4 m s^{-1} \)
(d) The particle will never escape
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