Impulse Question (Really Difficult)

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Homework Statement


A bird is initially perched on a swing with a mass of 153 g. The bird has a mass of 52 g. The swing is 8 cm below the point of attachment to the top of the cage. The bird/swing are initially at rest. The bird takes off horizontally at 2 m/s. How high will the base of the swing rise above its original level? Disregard friction.

Homework Equations


Where do i start?

The Attempt at a Solution


ive used several formulas that don't work out i just need to know which formula to use I am completely and utterly lost on this problem. I've tried m1v1 + m2v2 = m1v1f + m1v1f , didnt work. and mgh = 1/2mv^2. Any help ? :(
 
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What's the momentum of the bird when it leaves? The perch will have an equal and opposite momentum backwards. (This is treating the bird as more of a projectile than a flyer - but I think that's the intent of the problem).