The YouTube video below is a reconstruction of the flight of US Airways Flight 1549, referred to as Cactus. It is interesting to note how the pilot acted to conserve his altitude by careful energy management. After the dual engine flameouts the pilots established an optimum glide to maximize flight time. They did not bank the aircraft anymore than they had to- banking without power consumes altitude. While one pilot was flying the airplane the other was consulting the manual for emergency restart of the engines. The captain evidently knew right away that the only option for maximum survivability was to set the plane in the river.

Near the end the pilots found themselves coming in a bit fast so they brought the nose of the aircraft up and porpoised ~250 ft or so before locking on 130 kts indicated for their glide to the surface. They were mindful of bringing the aircraft to the site of the accident as slowly as possible. KE = (1/2) mv^2. 

Note how he dips the tail in the water first while keeping the wings absolutely level. This brought the aircraft into the water along the longitudinal axis and thus averted a cartwheeling accident. The engines become powerful drag devices once they are in water.

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