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The potential energy \( \phi \), in joule, of a particle of mass \( 1 \mathrm{~kg} \), moving in the \( x-y \) plane, obeys the law \( \phi=3 x+4 y \), where \( (x, y) \) are the coordinates of the particle in metre. If the particle is at rest at \( (6,4) \) at time \( t=0 \), then
(1) The particle has constant acceleration.
(2) The work done by the external forces, the position of rest of the particle and the instant of the particle crossing the \( x \)-axis is \( 25 \mathrm{~J} \).
(3) The speed of the particle when it crosses the \( y \)-axis is \( 10 \mathrm{~m} \mathrm{~s}^{-1} \).
(4) The coordinates of the particle at time \( t=4 \mathrm{~s} \) are \( (-18,-28) \)
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