An object has the velocity vector function

vec$(v)(t)=($:$8,6e^{2t},4t+7$:$)$

and initial position vec$(r)(0)=($:$-1,6,-2$:$)$

A$)$ Find the vector equation for the object's position.

vec$(r)(t)=$

$q,$

B$)$ Find the vector equation for the object's acceleration.

vec$(a)(t)=$