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JEE Main Physics question

PhysicsMotion in a Straight LineJEE Main

A cat, on seeing a rat at a distance m, starts with velocity ms and moves with acceleration ms in order to catch it, while the rat starts from rest with acceleration . For what value of will the cat (just) overtake the rat? (in ms)

Answer: 5 ms$^{-2}$

Solution

Cat: ; rat (starting 5 m ahead): $=5+0.5β

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Question ID VK-152191