Moderate# Position of Accelerating Object

MVCALC-JVNNFX

An object starts from rest at the point $P=(2,3,1)$ and moves with an acceleration of:

$${\bf a}(t)=t^2{\bf i} +3{\bf j}+t{\bf k}$$

...where $||{\bf a}(t)||$ is measured in meter per second per second. Where will the object be after $12$ seconds?