158- Two balls A and B with initial speeds of $30\ \dfrac{\text{m}}{\text{s}}$ according to the figure below are launched simultaneously. From the moment the two balls pass beside each other, how many times greater is the displacement of ball A compared to the displacement of ball B? (Neglect air resistance. $g = 10\ \dfrac{\text{m}}{\text{s}^2}$) [Figure: Ball B is launched downward from height 180 m with initial velocity $V_0$ downward, and ball A is launched upward from the ground with initial velocity $V_0$ upward. The height between them is labeled $180\ \text{m}$.]
[(1)] 2
[(2)] 1
[(3)] $\dfrac{\sqrt{2}}{2}$
[(4)] $\dfrac{1}{2}$
\textbf{158-} Two balls A and B with initial speeds of $30\ \dfrac{\text{m}}{\text{s}}$ according to the figure below are launched simultaneously. From the moment the two balls pass beside each other, how many times greater is the displacement of ball A compared to the displacement of ball B? (Neglect air resistance. $g = 10\ \dfrac{\text{m}}{\text{s}^2}$)
\textit{[Figure: Ball B is launched downward from height 180 m with initial velocity $V_0$ downward, and ball A is launched upward from the ground with initial velocity $V_0$ upward. The height between them is labeled $180\ \text{m}$.]}
\begin{itemize}
\item[(1)] 2
\item[(2)] 1
\item[(3)] $\dfrac{\sqrt{2}}{2}$
\item[(4)] $\dfrac{1}{2}$
\end{itemize}