A space shuttle of inertia m is attached to a booster rocket that has an inertia nine times greater. This system is moving at a speed of 700 m/s in outer space, as seen by observers in a nearby space station. Then explosive bolts are detonated, separating the shuttle from the rocket and thrusting the shuttle forward at a speed of 150 m/s relative to the rocket. Suppose that the shuttle and the rocket are initially moving in the positive hat(i) direction.

a. What is the velocity of the rocket right after the explosion?