A 300 g bird flying along at 6.4 m/s sees a 10 g insect heading straight toward it with a speed of 34 m/s (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch.

What is the bird's speed immediately after swallowing?

I cant figure this out!

2 answers

Conservation of momentum:

mv+MV=(m+M)Vf

solve for Vf. Note that v, and V are opposite directions.
Awesome thanks a lot!