\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}