2.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{99d06f7b-f5cc-4c19-ae26-8f715eda8ee8-04_442_810_237_557}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}

A truck of mass 1200 kg is being driven up a straight road that is inclined at an angle $\alpha$ to the horizontal, where $\sin \alpha = \frac { 1 } { 15 }$. The resistance to the motion of the truck from non-gravitational forces is modelled as a single constant force of magnitude 250 N . Two points, $A$ and $B$, lie on the road, with $A B = 90 \mathrm {~m}$. The speed of the truck at $A$ is $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and the speed of the truck at $B$ is $8 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, as shown in Figure 2.

The truck is modelled as a particle and the road is modelled as a straight line.
\begin{enumerate}[label=(\alph*)]
\item Find the work done by the engine of the truck as the truck moves from $A$ to $B$.

On another occasion, the truck is being driven down the same road. The resistance to the motion of the truck is modelled as a single constant force of magnitude 250 N . The engine of the truck is working at a constant rate of 8 kW .
\item Find the acceleration of the truck at the instant when its speed is $6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2018 Q2 [9]}}