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In physics, a collision is classified as either elastic or inelastic based on the way kinetic energy is conserved. In an **inelastic collision**, the total kinetic energy is not conserved. This means that some of the kinetic energy is converted into other forms, such as heat or sound, due to the deformation of the colliding bodies. However, momentum is always conserved in all types of collisions.

In the exercise involving the falcon and the raven, the falcon strikes the raven while flying at a high speed, which causes a notable change in the raven's motion. Since the falcon and raven move apart immediately after the collision, this is an example of a perfectly or partially inelastic collision where they do not stick together.

In such events, paying attention to both momentum and energy is crucial. Because kinetic energy is not conserved, the final states of the bodies are determined by their ability to dissipate energy into other forms following the collision. Nonetheless, the key is to use the conservation of momentum to find out the parameters such as velocity and angles after the collision.

Momentum is a fundamental concept in physics, represented by the product of an object's mass and its velocity. It is given by the equation \( p = m \times v \), where \(p\) is momentum, \(m\) is mass, and \(v\) is velocity.

Momentum considers both the speed and direction of an object, making it a vector quantity. The conservation of momentum is a powerful law stating that in the absence of external forces, the total momentum of a system remains constant. This principle is central to solving collision problems, as it allows for the prediction of post-collision velocities and directions.

In the problem with the falcon and raven, each bird has its momentum before and after the collision. Since no external forces are acting on the system during the collision, we employ this conservation principle to find out how the raven's speed and direction change.

This involves balancing the momentum in orthogonal x and y axes, considering the individual components contributed by both the falcon and raven.

The angle of deflection indicates how much an object's trajectory changes upon collision. It gives insight into the resultant direction an object will take after colliding with another object. This angle can be assessed by examining the perpendicular components of velocity before and after the collision.

Using trigonometric functions, particularly the tangent, we calculate the angle of deflection by comparing the velocity components in the x and y directions. The formula employed is \( \theta = \arctan\left(\frac{v_{ry'}}{v_{rx'}}\right) \), where \( v_{ry'} \) and \( v_{rx'} \) are the y and x components of the raven's velocity post-collision, respectively.

In the falcon-raven collision, this angle is crucial for understanding how the raven's flight path was altered. The ability to compute it accurately gives us a clearer picture of the dynamics at play, showcasing the intricate interplay of forces and motion in a collision scenario.