MTH5P2B: PURE MATHEMATICS MECHANICS QTN 5

Two particles, attached to a light, inextensible string, hang vertically from a smooth fixed pulley. Particle AA has a mass of 4 kg4 kg and BB has a mass of 3kg3kg. The particles are held at rest, 2m above the ground, and particle BB is projected downwards with a speed of 2.1 m s12.1 m s−1. How much time elapses before particle AA reaches the ground, given that neither reaches the pulley?

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