The position of a particle at time t is given by the relation `x(t)=(v_(0)/alpha)(1-e^(-alphat))` where `v_(0)` is a constant and `alpha gt 0`. Find the dimensions of `v_(0)` and `alpha`

Options

A. `M^(0)L^(1)T^(-1)` and `T^(-1)`
B. `M^(0)L^(1)T^(0)` and `T^(-1)`
C. `M^(0)L^(1)T^(-1)` and `LT^(-2)`
D. `M^(0)L^(1)T^(-1)` and `T`