Peregrine falcons stoop in order to approach prey undetected from above. Suppose a 0.8 kg peregrine falcon dives straight downwards at 90 m/s. It approaches a 0.3 kg pigeon from above and clutches this pigeon in its talons; the two birds move off together in a completely inelastic collision. If the pigeon is initially at rest, what is the downward velocity of the two birds immediately after the collision? If the collision lasts 0.2 s, what is the average force of the collision? For this question you may ignore all forces other than the force of the collision.

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