In S = a + bt + ct^2. S is measured in met

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

A

None

B

$m$

C

$m{s^{ - 1}}$

D

$m{s^{ - 2}}$

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

$c{t^2}$ must have dimensions of $L$

$ \Rightarrow $ $c$ must have dimensions of $L/{T^2}$ i.e. $L{T^{ - 2}}$.