Answer
Marti’s fall will not take twice as long as Rafe’s.
Work Step by Step
Assume that Rafe’s cord length is $s$.
Therefore, Marti’s cord length will be $2s$.
The expression used to calculate the time taken in a free fall will be,
$4.9{{t}^{2}}=s$
Substitute the values in the above expression,
$4.9{{t}^{2}}=s$
Divide both the sides by $49$,
$\begin{align}
& \frac{4.9{{t}^{2}}}{4.9}=\frac{s}{4.9} \\
& {{t}^{2}}=\frac{s}{4.9}
\end{align}$
Apply roots on both the sides,
$\begin{align}
& \sqrt{{{t}^{2}}}=\sqrt{\frac{s}{4.9}} \\
& t=\frac{s}{2.21}
\end{align}$
Marti’s cord length will be $2s$.
$\begin{align}
& \sqrt{{{t}^{2}}}=\sqrt{\frac{2s}{4.9}} \\
& t=\frac{s}{1.56}
\end{align}$
Thus, Marti’s fall will not take twice as long as Rafe’s.
