An asteroid, initially at rest, explodes into three pieces. One part has a momentum of $8530$ kg m$/$s $[$E$]$ and another has a mass of $2780$ kg with velocity of $12\mathrm{.}9$ m$/$s$[$W $12$ degrees South$]$ the mass of the third part is $375\mathrm{.}00$ kg$.$ What is its velocity, direction and kinetic energy of the third part.