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The velocity of an object varies with ti...

The velocity of an object varies with time as `v=At^(2)+Bt+C`. If units of v and t are expressed in SI , Find the units of constants A,B and C.

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Given `V=At^(2)+Bt+C`
According to principle of homogeneity,
(i) `V=At^(2) rArr A=V/t^(2)=(LT^(-1))/T^(2)=[LT^(-3)] rArr A=ms^(-3)`
(ii) `V=Bt rArr B=V/t=(Lt^(-1))/T=[|LT^(-1)]rArrB=ms^(-2)`
(iii) `V=C rArr C=LT^(-1) rArr C=ms^(-1)`
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