6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ad18c22c-2fc5-4844-99b8-492f758bb24e-11_531_931_230_520}
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\caption{Figure 2}
\end{figure}
A ball is thrown from a point \(O\), which is 6 m above horizontal ground. The ball is projected with speed \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle \(\theta\) above the horizontal. There is a thin vertical post which is 4 m high and 8 m horizontally away from the vertical through \(O\), as shown in Figure 2. The ball passes just above the top of the post 2 s after projection. The ball is modelled as a particle.
- Show that \(\tan \theta = 2.2\)
- Find the value of \(u\).
The ball hits the ground \(T\) seconds after projection.
- Find the value of \(T\).
Immediately before the ball hits the ground the direction of motion of the ball makes an angle \(\alpha\) with the horizontal.
- Find \(\alpha\).