A $4\mathrm{.}00$ kg object is moving at $5\mathrm{.}00\frac{m}{s}$ EAST. It strikes a $5\mathrm{.}00$ kg that is moving WEST at $2\mathrm{.}00\frac{m}{s}.$ The objects collide elastically and move away in the EAST$-$WEST direction. The velocity of the $5\mathrm{.}00$ kg object after the collision is

$1\mathrm{.}11\frac{m}{s}$ WEST.

$4\mathrm{.}22\frac{m}{s}$ EAST.

$4\mathrm{.}22\frac{m}{s}$ WEST.

$2\mathrm{.}78\frac{m}{s}$ WEST.

$2\mathrm{.}78\frac{m}{s}$ EAST.