Arocket with mass m traveling with speed v0 along the x axis suddenly shoots out one-third its mass parallel to the y axis (as seen from an observer at rest) with speed 2v0. find the x, y, and z components of the final velocity vector of the remaining 2/3 of the rocket's mass.

Explanation:

Initially the rocket velocity is only on the x-axis. After the rocket suddenly shoots out one-third its mass parallel to the y axis, its velocity is in the x and y axes. Thus, According to momentum conservation principle, we have:

So, the velocity vector of the remaining rocket's mass is:

where is the