Particle \(A\), of mass 0.6 kg, rests on a smooth horizontal table. It is attached to a light inextensible string which passes over a small smooth fixed pulley at the table edge. The other end is attached to particle \(B\), of mass 0.4 kg, hanging freely. The system is released from rest with the string taut and \(B\) 0.5 m above horizontal ground.

Use \(g=10\text{ m s}^{-2}\).

(a) Find the string tension and the magnitude of the acceleration of \(B\). [4]

(b) Find the time for \(B\) to reach the ground. Assume that \(A\) does not reach the pulley first. [2]