In S = a + bt + $c t^{2}$ . S is measured in metres and t in seconds. The unit of c is

No dimensions

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m s^{- 1}

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m s^{- 2}

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Solution

The correct option is D $m s^{- 2}$
$c t^{2}$ must have dimensions of $L \Rightarrow c$ must have dimensions of $\frac{L}{T^{2}}$ i.e., $L T^{- 2}$

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