5.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{266c4f52-f35f-459c-9184-836b0f3baf5b-16_255_1242_301_360}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

A smooth straight ramp is fixed to horizontal ground. The ramp has length 8 m and is inclined at $30 ^ { \circ }$ to the ground, as shown in Figure 2. A particle $P$ of mass 0.7 kg is projected from a point $A$ at the bottom of the ramp, up a line of greatest slope of the ramp, with speed $u \mathrm {~m} \mathrm {~s} ^ { - 1 }$. As $P$ reaches the point $B$ at the top of the ramp, $P$ has speed $4.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item By considering energy, find the value of $u$.

After leaving the ramp at $B$, the particle $P$ moves freely under gravity until it hits the ground at a point $C$. Immediately before hitting the ground at $C$, particle $P$ is moving at $\theta ^ { \circ }$ below the horizontal with speed $w \mathrm {~ms} ^ { - 1 }$.

Find
\item \begin{enumerate}[label=(\roman*)]
\item the value of $w$,
\item the value of $\theta$,
\end{enumerate}\item the horizontal distance from $B$ to $C$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2017 Q5 [13]}}