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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