$.$ The $2$ lb particle A is acted upon by its weight and the

force system: F$1=[2$ i $+6$ j $-2$ k $]$ lb

F$2=[3$ i k $]$ lb F $3=[$ i t $2$ j $2$ k $]$ lb

Determine the distance at which the particle is

origin $3$ s after being released from rest.

$3$ ftProb.