5 Two particles are connected by a light inextensible string that passes over a smooth peg. The particles have masses of 3 kg and 1 kg . The 1 kg particle is pulled down to ground level, where it is 40 cm below the level of the 3 kg particle, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{cb5001b1-1744-439f-aa35-8dd01bc90421-3_490_648_1272_696}

The particles are released from rest with the string vertical above each particle. Assume that no resistance forces act on the particles as they move.
\begin{enumerate}[label=(\alph*)]
\item By forming two equations of motion, one for each particle, find the magnitude of the acceleration of the particles after they have been released but before the 3 kg particle hits the ground.
\item Find the speed of the 1 kg particle when the 3 kg particle hits the ground.
\item After the 3 kg particle has hit the ground, the 1 kg particle continues to move and the string is now slack. Find the maximum height above ground level reached by the 1 kg particle.
\item If a constant air resistance force also acts on the particles as they move, explain how this would change your answer for the acceleration in part (a). Give a reason for your answer.
\end{enumerate}

\hfill \mbox{\textit{AQA M1 2013 Q5 [12]}}