Cat catch the rat!

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


The answer is 5.

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