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A partical is moving in a straight line under constant acceletation. If the motion starts from rest, Find the ratio of displacement in `n` second to that in the `n^(th)` second. |
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Answer» `mu=0, a=a, t=n` Displacement in n second `s=ut+1/2at^(2)=0+1/2an^(2)=1/2an^(2) ...(i)` Displacement in the `n^(th)` second `s_(t)=u+1/2a(2t-1)` `s_(n)=0+1/2a(2n-1) …(ii)` `s/s_(n)=(1/2an^(2))/(1/2a(2n-1))=n^(2)/(2n-1)` |
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