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If x = a + bt + ct^2 , where x is in metre and t in seconds, what is the unit of c ?

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If x = a + bt + ct2 , where x is in metre and t in seconds, what is the unit of c ?

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The unit of left hand side is metre so the units of ct2 should also be metre. 

Since t2 has unit of s2 , so the unit of c is m/s2

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