A particle of mass \( 2 \mathrm{~kg} \) moving along \( x \)-axis has potential energy given by,... VIDEO
A particle of mass \( 2 \mathrm{~kg} \) moving along \( x \)-axis has potential energy given by, \( U=16 x^{2}-32 x \) (in joule), where \( x \) is in metre. Its speed when passing through \( x=1 \mathrm{~m} \) is \( 2 \mathrm{~ms}^{-1} \)
(A) the motion of particle is a uniformly accelerated motion
(B) the motion of particle is an oscillatory from \( x=1.5 \mathrm{~m} \) to \( 3.0 \mathrm{~m} \)
(C) the motion of particle is not a simple harmonic motion
(D) the period of oscillatory motion is \( \pi / 2 \mathrm{~s} \)
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