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Michael accidentally dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, [tex]$h(t)$[/tex], after [tex]$t$[/tex] seconds.

\begin{tabular}{|c|c|}
\hline
[tex]$t$[/tex] & [tex]$h(t)$[/tex] \\
\hline
0 & 144 \\
\hline
1 & 128 \\
\hline
2 & 80 \\
\hline
3 & 0 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
To determine the height of the baton after certain seconds, we need the height at [tex]\( t = 0 \)[/tex] seconds and the time at which the baton hits the ground.

Here are the answers for the table:
- At [tex]\( t = 0 \)[/tex] seconds, the height [tex]\( h(t) \)[/tex] is 144 feet (the initial height).
- The baton lands after 3 seconds, so [tex]\( t = 3 \)[/tex] and the height at this time [tex]\( h(t) \)[/tex] is 0 feet.

Given these details, the completed table is:

[tex]\[ \begin{tabular}{|c|c|} \hline $t$ & $h(t)$ \\ \hline 0 & 144 \\ \hline 1 & 128 \\ \hline 2 & 80 \\ \hline 3 & 0 \\ \hline \end{tabular} \][/tex]

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