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A falconer training a falcon throws a lure of mass 200 g at an angle 45^o above the horizontal with an initial velocity of 15 m/s. One second after she throws it, her falcon catches it in mid-air. If the falcon has a mass of 400 g, and is diving straight downward at 20 m/s when he catches it, how fast is the falcon traveling afterwards, and in what direction?

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