2eagles hit each other at a 90 degree angle they grab each other, what is their velocity and direction?

This is an example of completely inelastic collision, since they grab each other and move as a single object after the collision.

The conservation of momentum requires

where

Their final momentum is

Their final velocity and direction is

Although not states in the question, let's consider the case that the masses and speeds of the eagles are the same:

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

massxgravity x heght=weightxheight= pe

4900=490xh

h=10