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A Mouse Is Running Away from a Cat at a Speed

question 56

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A mouse is running away from a cat at a speed of 0.75 m/s. At a distance of 1.25 m from his mouse hole, the mouse accelerates at a constant rate of 0.25 m/s2 until he reaches his hole safely. How long did it take the mouse to cover the last 1.25 m?


Definitions:

Traditional Authority

The norm in tribal and feudal societies, involves rulers inheriting authority through family or clan ties. The right of a family or clan to monopolize leadership is widely believed to be derived from the will of a god.

Higher Principle

An overarching ethical or moral standard that guides decisions and actions, often prioritized over other considerations.

Charismatic Authority

Based on belief in the claims of extraordinary individuals to be inspired by God or some higher principle.

Legal-Rational Authority

Is typical of modern societies. It derives from respect for the law. Laws specify how one can achieve office. People generally believe these laws are rational. If someone achieves office by following these laws, people respect their authority.

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