The position of a particle at time `t` is given by the relation `x (t) = (v_(0))/(A) (1 - e^(-At))`, where `v_(0)` is constant and `A gt 0`. The dimensions of `v_(0)` and `A` respectively
A. `[M^(0) LT^(0)]` and `[T^(-1)]`
B. `[M^(0) LT^(-1)]` and `[T^(-2)]`
C. `[M^(0) LT^(-1)]` and `[T]`
D. `[M^(0) LT^(-1)]` and `[T^(-1)]`