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

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 200 m/s relative to the rocket. Suppose that the shuttle and the rocket are initially moving in the positive i^ direction.

Part A

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

v⃗ (v-->) rocket =