2500 MPH in 2 minutes is not extreme ... Let's do the math
We will do 1 G of acceleration for 120 seconds.
1 G = 32 feet/sec/sec
So 32 * 120 = a velocity of 3,840 ft/sec
or
13,824,000 ft /hour
or
2,618 MPH
Perhaps 1 G is too high an acceleration.
If we instead do 1/2 G then it takes 4 minutes to reach 2,618 MPH
I believe my calculations are correct