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A cat on seeing a rat at a distance of 5m starts with velocity 5m/s and moves with acceleration 2.5m/s2 in order to catch it while the rat with acceleration X starts from rest. For what maximum value of X will the cat overtake the rat A cat on seeing a rat at a distance of 5m starts with velocity 5m/s and moves with acceleration 2.5m/s2 in order to catch it while the rat with acceleration X starts from rest. For what maximum value of X will the cat overtake the rat
Srat + 5 = Scat (For rat to be caught)0t +xt2 /2 = 5t – 2.5t2 /2xt2 = 10t- 2.5t2For real values of tPut D>=0 and find X.
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