Confusing Units after using Bernoulli's Equation

So in a spacecraft with regular air at 1 atm pressure, a hole gets punched in it (depressurizing it). I'm looking for the Exit Velocity of the air at t=0.

Using Units:
Internal Pressure: P_i = 1 atm = 101300 [kg / m*s²]
Air Density: [itex]\rho[/itex] = 1.2 [kg / m³]

And Equation:
P_i = 0.5 * [itex]\rho[/itex] * (Ve²)
...turns into
Ve = √( 2*P_i / [itex]\rho[/itex] )

The answer I get is Ve = 410 [ m² / s² ]

How is Distance² over Time² a Velocity in this context?
I'm hoping to compare another object's relative wind-speed against this, and I'm not sure how.
Would a stationary object next to the escaping air feel like it's going 410 [m/s]?

Thanks in advance

P.S. Equation and Units were from: http://www.spaceacademy.net.au/flight/emg/spcdp.htm