The velocity v of a particle at time t is given by `v = a t + \frac { b } { t + c }` where a, b and c are constant. The dimensions of a, b and c respectively are

Options

A. `[LT^-2]`,[L]and [T]
B. [L],[T] and `[LT^2]`
C. `[L^2T^2]`,[LT]and[l]
D. [L],[LT]and `[T^2]`