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Answer» `(y-h)+sqrt(x^(2)+h^(2))=l` `(dy)(dt)+x/sqrt(x^(2)+h^(2)) (dx)/(dt)=0` `(dy)/(dt)=- x/sqrt(x^(2)+h^(2)) (dx)/(dt)` ...(1) `(dy)/(dt)=-3/5 v_(A)` `|v_(B)|=3/5 v_(A)` Differentiation EQUATION (1) `|(d^(2)y)/(dt^(2))|=v_(A) [(x(x(dx)/(dt)))/sqrt((x^(2)+h^(2))^(3))+(((dx)/(dt)))/sqrt(x^(2)+h^(2))]` `|(d^(2) y)/(dt^(2))|=v_(A)^(2) h^(2)/((x^(2)+h^(2))^(3//2))` `a_(B)=v_(A)^(2) 16/((5)^(3))` `a_(B)=16/125 v_(A)^(2)` |
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