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Given v = x/t +yt
we know a equation existing in physics is dimensional correct i.e. L.H.S.= R.H.S.

dimension of velocity [V] = [M^(0)] [L] [T^(-1)]
so dimension of v = x/t ⇒ v × t = x ⇒ [x]= [M^(0)] [L] [T^(-1)] × [T]
                                                   ⇒ [x]= [L] 
0 0 0
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