Final answer:
In the context of Physics, the chaser and the hare will typically run at different speeds, and the outcome depends on factors such as velocity, acceleration, and endurance.
Step-by-step explanation:
The question 'When chasing a hare along a flat stretch, _____?' involves understanding motion and relative speed, which pertains to the subject of Physics. The statement could be completed with several potential outcomes depending on the context. However, in real-world scenarios and without any additional information about the chaser or hare, the most factual answer would be '4) the chaser and the hare will run at different speeds'. Each entity may have its own maximum speed, acceleration, and endurance. For example, in the famous fable 'The Hare and the Tortoise', despite being much slower, the tortoise wins due to the hare's overconfidence leading to a lack of effort. In a practical scenario, like at the end of a marathon, the velocity of the competitors relative to each other matters, as well as their stamina and strategy.
Using some excerpts given as a backdrop, when analyzing a two-body pursuit scenario where one car accelerates towards another with constant velocity, superior velocity or acceleration of the chaser would cause it to catch up to the chasee. Conversely, consistent slower speed from the chaser would mean it would never catch up, similar to the scenario with a rabbit crossing freeway lanes or the dynamics of a marathon race finish.