I have learned about the Buckingham Pi theorem however, I was not entirely sure if this was the correct approach since we are given velocity LT^{-1}, length L and that's it. Am I missing something?
My approach with the buckingham Pi theorem was this: ##(LT^{-1})^{a} (L)^{b} (n T^{-1})^{c}##.
My attempt at a solution is to start off first denoting V_a to be the automobile an V_e to be the economy version. Same goes with l_a and l_e. To try and relate the two I have tried: V_a I_a = V_l L_e, however I am really not sure how they got the square root.
The answer is: v = V sqrt(l/L)...