We should note the following concepts when solving a Two-Body Collision Numerical:-
Distance Between the centres of two Bodies -"b."
When we have two objects colliding with each other, we assume both are in the same straight line, i.e. the centre of both the objects are precisely on the same straight line. These Collisions are Called Head-On Collisions. But that may not be the case always. In reality, we still have a Collision in which there exists a distance between the centre of lines of two bodies. This distance is called the Impact Parameter.
Scattering Angles
After the collision, both the bodies move along different angles called scattering angles.
Explosion Collision
If there is an explosion during the collision, the overall Kinetic Energy increase, but the linear Momentum remains constant.
Perfectly Inelastic Collisions
If the two colliding bodies Stick together after Collision, we say its a Perfectly Inelastic Collision. The maximum loss of Kinetic Energy happens. Kinetic Energy gets lost in the form of Sound and Heat.