The mass of a pigeon hawk is twice that of the pigeons it hunts. Suppose a pigeon is gliding north at a speed of vP=22.9 m/s when a hawk swoops down, grabs the pigeon, and flies off, as shown in the figure. The hawk was flying north at a speed of vH=36.1 m/s, at an angle θ=45∘ below the horizontal at the instant of the attack. What is the birds' final speed vf just after the attack?

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