# Cat catch the rat!

A cat on seeing a rat at a distance $$d=5\text{ m}$$ starts with velocity $$u=5 \text{ m/s}$$ and moves with acceleration of $$a=2.5\text{ m/s} ^2$$ in order to catch it, while the rat with acceleration $$b$$ starts from rest. For what max. value of $$b$$ will the cat overtake that rat.

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