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Question: In \(S = a + bt + ct^{2}\). \(S\) is measured in metres and \(t\) in seconds. The unit of \(c\) is...

In S=a+bt+ct2S = a + bt + ct^{2}. SS is measured in metres and tt in

seconds. The unit of cc is

A

None

B

mm

C

ms1ms^{- 1}

D

ms2ms^{- 2}

Answer

ms2ms^{- 2}

Explanation

Solution

ct2ct^{2} must have dimensions of LL

\Rightarrow cc must have dimensions of L/T2L/T^{2} i.e. LT2LT^{- 2}.