Understanding Notation: Simplifying \vec{a} = \dot{v}

[tolove]

I'm wanting to write,
$\vec{a}$ = $\dot{v}$
But I don't think this is entirely correct. Is there a standard shorthand for this?

 

[Hypersphere]

I'm wanting to write,
$\vec{a}$ = $\dot{v}$
But I don't think this is entirely correct. Is there a standard shorthand for this?

Acceleration as the time derivative of velocity? Yeah, that should work (and how could you make it shorter?), but velocity is a vector so $\vec{a}$ = $\dot{\vec{v}}$, or in the Leibniz notation,
$$\vec{a}=\frac{d\vec{v}}{dt}$$