When Will Tom Overtake?

Tom the cat, on seeing Jerry the mouse at distance \(d=5 \) m, starts running towards Jerry with velocity \(5 \) m/s and acceleration \(2.5 \) m/s\(^2\) in order to catch it. Simultaneously, Jerry starts running (directly away from Tom) from rest with acceleration \(a \) m/s\(^2\).

To 2 decimal places, what is the maximum value of \(a\), for which Tom will be able to catch Jerry?

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