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A particle of mass \( 5 \mathrm{~kg} \) moving in the \( x-y \) plane has its potential energy given by \( U=(-7 x+24 y) \mathrm{J} \), where \( x \) and \( y \) are in meter. The particle is initially at origin and has a velocity \( \vec{u}=(14.4 \hat{\mathrm{i}}+4.2 \hat{\mathrm{j}}) \mathrm{m} / \mathrm{s} \)
(A) The particle has a speed of \( 25 \mathrm{~m} / \mathrm{s} \) at \( t=4 \mathrm{~s} \).
(B) The particle has an acceleration of \( 5 \mathrm{~m} / \mathrm{s}^{2} \).
(C) The acceleration of the particle is perpendicular to its initial velocity.
(D) None of the above is correct.
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