If the plane accelerates to Mach 10 in 1 minute (60 seconds):

[ a = \frac{3430 , \text{m/s}}{60 , \text{s}} = 57.17 , \text{m/s}^2 ]

[ G = \frac{57.17 , \text{m/s}^2}{9.81 , \text{m/s}^2} \approx 5.83 , G ]

If the plane accelerates to Mach 10 in 2 minutes (120 seconds):

[ a = \frac{3430 , \text{m/s}}{120 , \text{s}} = 28.58 , \text{m/s}^2 ]

[ G = \frac{28.58 , \text{m/s}^2}{9.81 , \text{m/s}^2} \approx 2.91 , G ]

If the plane accelerates to Mach 10 in 5 minutes (300 seconds):

[ a = \frac{3430 , \text{m/s}}{300 , \text{s}} = 11.43 , \text{m/s}^2 ]

[ G = \frac{11.43 , \text{m/s}^2}{9.81 , \text{m/s}^2} \approx 1.17 , G ]

From the movie, it seems to take longer than 2 mins, so it's theoretically possible. I'm not sure where you got your numbers from though.