\begin{frame}
\frametitle{Exercises}
\begin{exampleblock}{}
Assume that a ball is dropped,
and we have the following measurements:
\begin{itemize}
\item height at time $0s$ is $490$m
\item height at time $2s$ is $472$m
\item height at time $4s$ is $414$m
\end{itemize}
\pause
Find a quadratic function for the height of the ball after time $t$.\\
\pause
When does the ball hit the ground?
\end{exampleblock}
\pause
We look for a function of the form:
\begin{talign}
h(t) = at^2 + bt + c
\end{talign}
\pause
We know
\begin{talign}
&h(0) = c = 490\\
&\mpause[1]{h(2) = 2^2a + 2b + 490 = 472}\\
&\mpause[2]{h(4) = 4^2a + 4b + 490 = 414}
\end{talign}
\end{frame}