Final answer:
The Dynamic Model represents time-dependent aspects of a system, especially in physics where models simulate real-system interactions to facilitate understanding and analysis. Statistical models are used when there are time-based variations, as opposed to mathematical models which depict static aspects.
Step-by-step explanation:
The Dynamic Model represents the time-dependent aspects of a system. In physics, a model is a representation that allows us to understand and predict the behavior of a system.
The Dynamic Model is used to analyze changes over time within these systems.
For example, in modern physics, models are created to simulate complex interactions within systems that are analogous to the real systems in essential ways, allowing for easier analysis and understanding.
Consider the case of a statistically based model: the fluctuating temperature of a refrigerator can be modeled using a time-dependent statistical model, where the temperature changes as the compressor cycles on and off.
The mathematical model, meanwhile, might represent a consistent and static aspect, such as the fixed distance from your house to school, regardless of time.
Statistical models come into play when there is inherent variability over time—such as the variability in the fill weight of manufactured products, or the slight daily differences in train departure times.