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The mass of a pigeon hawk is twice that of the pigeons it hunts. Suppose a...

The mass of a pigeon hawk is twice that of the pigeons it hunts. Suppose a pigeon is gliding north at a speed of ?P=24.7 m/svP=24.7 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 ?H=32.5 m/s,vH=32.5 m/s, at an angle ?=45∘θ=45∘ below the horizontal at the instant of the attack.

What is the birds' final speed ?fvf just after the attack?

What is the angle ?fθf below the horizontal of the final velocity vector of the birds just after the attack?

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