Finding the Dimensionally Consistent Powers for Acceleration Equation

[swatmedic05]

Acceleration is related to velocity and time by the following expression: A=V^p t^q

Find the powers p and q that make this equation dimensionally consistent.

 

[Mindscrape]

You know that acceleration is L^1 T^-2, that velocity is L^1 T^-1 and t is of course T.

$$V^p t^q = (L^1 T^{-1})^p (T)^q = (L^1 T^{-2}) = A$$

this is your very basic dimensionality problem. Try to look over some examples and post your work if you need further help.