A cat is sitting in the bottom left corner of a square room with side length

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A cat is sitting in the bottom left corner of a square room with side length aa, while a mouse is sitting in the bottom right corner and the mouse hole is in the top right corner. The speed of the mouse is VV, and the speed of the cat is 2V2V. The mouse always moves directly toward the hole, while the cat always moves directly toward the mouse. Find the distance the mouse will travel before the cat catches it.

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