QuestionThe Data: Here are three times and the measured height of the plane at those times. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Time $(t)$ in \\ seconds \end{tabular} & \begin{tabular}{c} Height $(h)$ in \\ feet \end{tabular} \\ \hline 2 & 24205 \\ \hline 20 & 32305 \\ \hline 40 & 33705 \\ \hline \end{tabular}
To find the coefficients for your model, plug the data into the equation: $$h=a t^{2}+b t+c$$
The data points are just like $x$ and $y$ values, where the $x$ value is the time $t$ in seconds and the $y$ value is the altitude $h$ in feet. Plug these into the model to get three linear equations with variables $a, b$, and $c$. \begin{tabular}{|c|c|c|} \hline Data Values & Enter the resulting equation & \\ \hline$(2,24205)$ & \\ \hline$(20,32305)$ & \\ \hline$(40,33705)$ & \\ \hline \end{tabular}