Powers of p and q from a=v^p*t^q

[valerieangel]

How do I go about solving for the powers of p and q to make the equation dimensionally consistent?

Any help or advice would be much appreciated!

 

[dipole]

I'm assuming v is velocity, t is time and a is acceleration?

Acceleration has units of m/s², while velocity has units of m/s. So the only valid values of p and q would have to be p = 1 and q = -1.

 

[valerieangel]

I'm assuming v is velocity, t is time and a is acceleration?

Acceleration has units of m/s², while velocity has units of m/s. So the only valid values of p and q would have to be p = 1 and q = -1.

Yes, I failed to mention that. Thank you for your help.