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If x= a+bt+ct^(2) , where x is in metre ...

If x= a+bt+`ct^(2)` , where x is in metre and t is in second , what is the dimensional formula of c?

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Dimension of x = dimension of c `xx` dimension of `t^(2)` or, L `=[c] xxT^(2), :. [c] = LT^(-2)`
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