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Algebraic Identities

The distance ...

Question

The distance x covered by a body in time t is given by the relation $s = a + b t + c t^{2}$ what are the dimensions of a,b and c?

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Solution

$\begin{matrix} s = a + b + c t^{2} [a] = L [b t] = L [b] = \frac{L}{T} = L T^{- 1} [c t^{2}] = L [c] \times [T^{2}] = L [c] = L T^{- 2} \end{matrix}$

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