Q: The velocity v of a particle at time t is given by $ \displaystyle v = at + \frac{b}{t + c} $ , where a, b and c are constants. The dimensions of a, b and c are respectively

(a) [LT^{–2}], [L] and [T]

(b) [L^{2}], [T] and [LT^{2}]

(c) [LT^{2}], [LT] and [L]

(d) [L], [LT] and [T^{2}]

Ans: (a)