The velocity \( (v) \) of a body is varying with time \( t \) as given by the equation \( v=a+\dfrac{b}{t}+\dfrac{c}{t^{2}} \). Based on above information, match the following.
| Column I (quantities) | Column II (Dimensional formula) |
|---|
| i \( \dfrac{a}{b} \) | P \( [M^{0}L^{0}T^{1}] \) |
| ii \( bc \) | Q \( [M^{0}L^{0}T^{-1}] \) |
| iii \( \dfrac{c}{b} \) | R \( [M^{0}LT^{-2}] \) |
| iv \( \dfrac{ab}{c} \) | S \( [M^{0}L^{2}T] \) |