Solve this problem using conservation of momentum. $($Impulse momentum$)$

We are testing a new braking system for a rocket. It is meant to apply $-1744$ N of force to the $1591$ kg rocket. At the end of our test, the rocket is moving with a velocity of $25$ m$/$s$.$ If we apply the braking system for a period of $37$ s$,$ what was the initial velocity of the rocket?