Given $an$ acceleration vector, initial velocity $($:$u_0,v_0,w_0$:$),$ and initial position $($:$x_0,y_0{z}_0$:$),$ find the velocity and position vectors for $t0.$

$a(t)=($:$7t,e^{-t},5$:$),($:$u_0,v_0,w_0$:$)=($:$0,0,1$:$),($:$x_0,y_0{z}_0$:$)=($:$6,0,0$:$)$

What $is$ the velocity vector?

What $is$ the position vector?

$r(t)=1,|,$