7 A small ball, of mass 3 kg , is suspended from a fixed point $O$ by a light inextensible string of length 1.2 m . Initially, the string is taut and the ball is at the point $P$, vertically below $O$. The ball is then set into motion with an initial horizontal velocity of $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.

The ball moves in a vertical circle, centre $O$. The point $A$, on the circle, is such that angle $A O P$ is $25 ^ { \circ }$, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{85514b55-3f13-4746-a3ef-747239b64cca-5_663_702_660_701}
\begin{enumerate}[label=(\alph*)]
\item Find the speed of the ball at the point $A$.
\item Find the tension in the string when the ball is at the point $A$.
\end{enumerate}

\hfill \mbox{\textit{AQA M2 2013 Q7 [7]}}