7.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{c16c17b6-2c24-4939-b3b5-63cd63646b76-20_360_1026_246_466}
\captionsetup{labelformat=empty}
\caption{Figure 5}
\end{center}
\end{figure}

At time $t = 0$ a particle $P$ is projected from a fixed point $A$ on horizontal ground. The particle is projected with speed $25 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ at an angle $\alpha$ to the ground. The particle moves freely under gravity. At time $t = 3$ seconds, $P$ is passing through the point $B$ with speed $15 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and is moving downwards at an angle $\beta$ to the horizontal, as shown in Figure 5.
\begin{enumerate}[label=(\alph*)]
\item By considering energy, find the height of $B$ above the ground.
\item Find the size of angle $\alpha$.
\item Find the size of angle $\beta$.
\item Find the least speed of $P$ as $P$ travels from $A$ to $B$.

As $P$ travels from $A$ to $B$, the speed, $v \mathrm {~m} \mathrm {~s} ^ { - 1 }$, of $P$ is such that $v \leqslant 15$ for an interval of $T$ seconds.
\item Find the value of $T$.\\

\section*{\textbackslash section*\{Question 7 continued\}}
\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2020 Q7 [14]}}