Answer :
Speed of the command module relative to earth just after the separation is 5785.2Km/h
Velocity of speed of Vehicle = 5800km/h
mass = 4m + m = 5m
relative velocity = v2 - v1 = 74 km/h
v2 = 74 + v1
using conservation of momentum,
(5800)(5m) = 4m(v1) + m(v2)
V1 = 5785.2km/h
Momentum in Newtonian physics is defined as the sum of an object's mass and velocity, or more specifically, as its linear momentum or translational momentum. As a vector quantity with both a magnitude and a direction, it has both. The momentum of an item is expressed as follows: if an object has mass (m) and velocity (v), both of which are vector quantities.
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilograms metre per second (kg m/s) is its SI counterpart.
A body's momentum changes at a rate equal to the net force exerted on it, according to Newton's second law of motion. However, in any inertial frame, momentum is independent of the frame of reference.
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