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

Question

( A ) $L,LT and T^2$
( B ) $LT^{2},LT and L$
( C ) $LT^{-2},L and T$
( D ) $LT^{2},T and LT^2$