5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0ea2267e-6c46-4a4f-9a38-c242de57901d-3_405_718_1169_555}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
During a cricket match, a batsman hits the ball giving it an initial velocity of \(22 \mathrm {~ms} ^ { - 1 }\) at an angle \(\alpha\) to the horizontal where \(\sin \alpha = \frac { 7 } { 8 }\). When the batsman strikes the ball it is 1.6 metres above the ground, as shown in Figure 2, and it subsequently moves freely under gravity.
- Find, correct to 3 significant figures, the maximum height above the ground reached by the ball.
The ball is caught by a fielder when it is 0.2 metres above the ground.
- Find the length of time for which the ball is in the air.
Assuming that the fielder who caught the ball ran at a constant speed of \(6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\),
- find, correct to 3 significant figures, the maximum distance that the fielder could have been from the ball when it was struck.