Collision is an interaction between two or more bodies that come in contact with each other.
Momentum is always conserved in all types of collision. However, the total kinetic energy may or may not be conserved, depending on the type of collision.
Coefficient of restitution is the negative ratio of the relative velocity of two colliding bodies after collision to the relative velocity before collision.
Elastic collision is where bodies separate after colliding with each other. Both momentum and kinetic energy are conserved during an elastic collision. The coefficient of restitution is equal to 1.
Inelastic collision is where momentum is conserved but not the kinetic energy.
If the interacting bodies stick together and move as one after collision, the collision is said to be perfectly inelastic.
Rotation refers to the motion of a body turning about an axis, where each particle of the body moves along a circular path.
Angular velocity is the rate at which angular displacement changes with time.
Angular velocity may be expressed in deg/s, rev/s, or radian/s.
Moment of inertia, also known as rotational inertia, is the rotational analog for mass and is represented by a capital letter I.
Moment of inertia is defined as the property of a rotating body to resists change in its state of rotation.
The larger the moment of inertia, the greater the resistance it offers to angular acceleration.
The SI unit for moment of inertia is kg • m2
Radius of gyration is the distance from an axis of rotation where the mass of a body may be assumed to be concentrated without altering the moment of inertia of the body about that axis.
Radius of gyration is analogous to the center of mass.