6 A small ball is kicked off the edge of a jetty over a calm sea. Air resistance is negligible. Fig. 6 shows
- the point of projection, O,
- the initial horizontal and vertical components of velocity,
- the point A on the jetty vertically below O and at sea level,
- the height, OA, of the jetty above the sea.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6cca1e5e-82b0-487d-8048-b9db7745dea6-3_458_1008_1786_571}
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\caption{Fig. 6}
\end{figure}
The time elapsed after the ball is kicked is \(t\) seconds.
- Find an expression in terms of \(t\) for the height of the ball above O at time \(t\). Find also an expression for the horizontal distance of the ball from O at this time.
- Determine how far the ball lands from A .