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

Options :

1. [L], [LT] and [LT⁻²]

2. [LT⁻²], [L] and [T]

3. [L²], [T] and [LT⁻²]

4. [LT⁻²],[LT] and [L]