Final answer:
The provided information appears to be a mix of physics-related variables and operations, which requires clarification before providing an implicit description of W using homogeneous equations.
Step-by-step explanation:
The question is seeking an implicit description of W, which suggests a need for a relationship or equation that defines this quantity in terms of other known values or parameters. However, the provided information seems to pertain to kinematics and dynamics in physics rather than to the algebraic or geometric task of describing a set like W. With kinematic equations, one typically identifies the known variables (such as initial speed wo, acceleration a, and speed v) and then selects and solves an appropriate equation to find the unknown (u or w, in this case).
For instance, the equation w² = wo² + 2a0 might be used if we know the initial speed (wo), acceleration (a), and initial position (o) and need to find the final speed (w). However, with many conflicting snippets, such as u' = c and v = 0.500c, it is unclear how these relate to each other and to W without the context of either special relativity (where c would represent the speed of light) or another specific physical scenario. Due to the confusion and ambiguity, it is recommended to clarify the context and the exact nature of W before proceeding.