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\begin{tabular}{|c|c|}
\hline Time [tex]$(s)$[/tex] & Length [tex]$(m)$[/tex] \\
\hline 2.0 & 0.70 \\
\hline 4.0 & 1.2 \\
\hline 6.0 & 1.9 \\
\hline 8.0 & 2.4 \\
\hline 10 & 3.1 \\
\hline 12 & 3.6 \\
\hline 14 & 4.1 \\
\hline 16 & 4.6 \\
\hline
\end{tabular}

Study the table, which shows the length of a pendulum and the corresponding time period it takes to make a complete swing back and forth.

The length is the [tex]\(\square\)[/tex].

The period is the [tex]\(\square\)[/tex].



Answer :

GinnyAnswer
To determine which variable represents the length and which represents the period from the given table, we proceed as follows:

1. Identify the Columns:
- The first column of the table displays the values under the header "Time (s)". These values are the periods of the pendulum, which indicate the time it takes for the pendulum to complete one full swing.
- The second column of the table lists the values under the header "Length (m)". These values represent the lengths of the pendulum.

2. Assign Variables:
- The header of the second column is "Length (m)". Therefore, the length corresponds to the values listed under this header.
- The header of the first column is "Time (s)". Thus, the period corresponds to the values listed under this header.

Given this analysis, we can fill in the blanks as follows:

- The length is the "Length (m)".
- The period is the "Time (s)".

Hence, the detailed solution determining which column represents the length and which represents the period according to the given table is correctly identified.

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