Equations of a simultaneous 3D accelerating motion

[John Conner]

I want to know about the equations of a motion that has a specific acceleration in all three dimensions simultaneously. which requires vectors that simultaneously are accelerating in all directions.

[mathematic]

Vector sum gives magnitude and direction for acceleration.

[John Conner]

let me put it this way. can there be such motion? i understand that currently there's no theoretical basis for this. so i just want to know is it possible to have an acceleration of A designated to all directions simultaneously? and not for the metric itself. for moving body!

[Mordred]

An expanding object such as a balloon the surface of the balloon certainly counts as an object and once you blow air into it. It accelerates outward from rest in all directions simultaneously.