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The relation between time and displacement is t=alphax^(2)+betax where alpha and beta are constants. What is retardation of the body: |
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Answer» `2alphav^(3)` Differentiating both sides w.r.t . Time, `1=2alphax.(dx)/(dt)+beta(dx)/(dt) 1=2alphaxv +betav` `1=(2alphax+beta)v impliesv=(1)/(2alpha+beta)` Differentiating equation (i)w.r.t. time again `0=2alphax.(dv)/(dx)+2alphav.(dv)/(dt)+beta(dv)/(dt)` or `0=2alphaxa+2alphav^(2)+betaa` `0=(1alphax +beta)a+2alphav^(2)` `a= -((2alphav^(2))/(2alphax+beta))` Using equation (ii) `a= - 2alphav^(3)` THUS retardation=2 `alphav^(3)` |
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