A volleyball player serves from the back line of the court to send the
ball into the adversary
camp. The height \(h\) of the ball, in meters, is given by the following
function~:

\(h(t) = -4.9t^{2} + 3.8t + 1.7\) , where $t$ is in seconds.

(For this exercise give all answers correct to 2 d.p.)

\begin{enumerate}
\item
  \nbPointsEnumi{3}What is the maximum height reached by the ball?
\item
  \nbPointsEnumi{3}After how long will the ball fall to the ground?
\item
  \nbPointsEnumi{3}For how long does the ball stay above 1.5 m~?
\item
  The ball will reach the net at \(t = 0.6\)~s. The height of the net is 2.34~m.

\nbPointsEnumi{3}Will the ball pass over the net into the adversary camp? Explain.
\end{enumerate}
