Question

The velocity of a body is v = A + Bt, then what are the dimensions of A and B?

Answer 1

The velocity of a body
11 = A + Bt

On applying the principle of homogeneity, The dimensional formula of A = Dimensions of v.

= \([M^0L^1T^{-1}]\)

Similarly, the dimensions of Bt = Dimensions of v
∴ Dimensions of B = dimensions of v/l