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and the acceleration provided by the plank = av^2 = vo^2 + 2adIf n planks are required to stop the bullet, then0^2 = vo^2 + 2a*nd2and = -vo^2n = vo^2/(-2ad) -------(1)v = vo - vo/20 = 19 vo/20 in passing through one plank(19 vo/20)^2 = vo^2 + 2ad361/400 * vo^2 = vo^2 + 2ad-2ad = vo^2(1 - 361/400) -2ad = vo^2 * 39/400Substituting this value of -2ad into equation (1):n = vo^2/(vo^2 * 39/400) = 400/39 The minimum number of planks needed = smallest integer greater than 400/39 = 11Ans: 11
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Arun (askIITians forum expert)
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