Question

Check the correctness of the equation v is equal to v not plus at by the method of dimensions

Answer 1

dimension of v [M^0L^1 T^-1]

dimension of v not = [M^0L^1 T^-1]

dimension of 'a'=[M^0L^1T^-2]

from the principle of homogenity that every equation relating physical quantities must be domensionally homogeneous

so, [M^0L^1 T^-1]= [M^0L^1 T^-1] +[M^0L^1 T^-2]×[T]

so this equation is correct :)