The velocity v of a particle at time t is given by v = at + b/(t + c), where a, b and c are constants, The dimensions of a, b and c are respectively :

[LT-2], [L] and [T] [L], [T] and [LT2] [L2T2], [LT] and [L] [L], [LT] and [T2]

[LT-2], [L] and [T]

\(v = at + \frac{b}{t + c}\) ⇒ [c] [t] = T [v] = [at] ⇒ [a] = \(\frac{[v]}{[t]}\) = LT –2 [b] = [LT–1] T = L