Velocity `v` is given by `v=at^(2)+bt+c`, where `t` is time. What are the dimensions of `a, b and c` respectively?
A. `["LT"^(-3)],["LT"^(-2)]and["LT"^(-1)]`
B. `["LT"^(-1)],["LT"^(-2)]and["LT"^(-3)]`
C. `["LT"^(-2)],["LT"^(-3)]and["LT"^(-1)]`
D. `["LT"^(-1)],["LT"^(-3)]and["LT"^(-2)]`