# 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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