While working on an energy problem, you come up with a few different equations for the s of an object after being dropped while attached to a spring.

Possibility $\frac{?}{?}$#$1$: $v=\sqrt[\phantom{2}]{2gd-\frac{k{x}^2}{m}}$

Possibility $\frac{?}{?}$#$2$: $v=\sqrt[\phantom{2}]{2gm-\frac{k{x}^2}{d}}$

Possibility $\frac{?}{?}$#$3$: $v=g\sqrt[\phantom{2}]{2d-\frac{k{x}^2}{m}}$

The variables stand for the following quantities.

$v$ : speed

$g$ : acceleration due to gravity

$d$ : distance traveled

$k$ : spring constant

$x$ : displacement from equilibrium

$m$ : mass

Which option$($s$)$ can be eliminated on the basis of a units check? Select all that apply.