5.
\begin{figure}[h]
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\caption{Figure 3}
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\end{figure}
A ball is thrown from a point 4 m above horizontal ground. The ball is projected at an angle \(\alpha\) above the horizontal, where \(\tan \alpha = \frac { 3 } { 4 }\). The ball hits the ground at a point which is a horizontal distance 8 m from its point of projection, as shown in Fig. 3. The initial speed of the ball is \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and the time of flight is \(T\) seconds.
- Prove that \(u T = 10\).
- Find the value of \(u\).
As the ball hits the ground, its direction of motion makes an angle \(\phi\) with the horizontal.
- Find \(\tan \phi\).
(5)