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9709 P41 - Nov 2009 - Q2
3574

A smooth narrow tube AE has two straight parts, AB and DE, and a curved part BCD. The part AB is vertical with A above B, and DE is horizontal. C is the lowest point of the tube and is 0.65 m below the level of DE. A particle is released from rest at A and travels through the tube, leaving it at E with speed 6 m/s (see diagram). Find

  1. the height of A above the level of DE,
  2. the maximum speed of the particle.
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