Recall Newton's Second Law relating the acceleration $ofan$ object $to$ its mass:

$a=\frac{1}{m}F0,1,3v_0=(5,1,-2)$

$.$ Then a force with magnitude $90$ Newtons acts $on$ this object $in$ the positive $z-$direction. $No$ other forces act $on$

this object. Find this object's position function $r(t).$ You should assume the force begins acting $at$ time $t=0.$

Submit a clear, detailed, and complete solution.