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

$a(t)=($:$cost,5sint$:$),($:$u_0,v_0$:$)=($:$0,1$:$),($:$x_0,y_0$:$)=($:$1,0$:$)$

What $is$ the velocity vector?

What $is$ the position vector?

$r(t)=1$