p and q are both integers.

Question

p and q are both integers. Given the folowing equation:

v^p = 2a^qx

where v represents velocity in m/s;

a represents acceleration in m/s²;

and x represents position in m;

what are the values of p and q?

I don't know how to solve this. I was able to set up the new equation after inputting what each variable was equal to and got : m^p/s^p= (2 m^q/s^2q) (m) but after that I'm stuck

Answer 1

I think this is simply a dimensional issue: [m/s]^p = (2) [m/s²]^q [m], so p = 2 and q = 1 for the dimensions to match!