The velocity of the center of gravity (CoG) can be determined by considering the velocities of the object and the person separately. Let's denote the velocity of the object as X and the velocity of the person as Y.
To find the velocity of the CoG, we need to take into account the masses and positions of both the object and the person. Assuming the object and the person have masses m1 and m2, respectively, and the object is initially at rest, the velocity of the CoG (Vcog) can be calculated using the formula:
Vcog = (m1 * 0 + m2 * Y) / (m1 + m2)
Since the object is initially at rest, its velocity is considered 0 in the equation. Therefore, the velocity of the CoG would be (m2 * Y) / (m1 + m2).
It's important to note that this calculation assumes an idealized scenario where there are no external forces acting on the system. In reality, there might be additional factors to consider, such as friction or other forces that could affect the motion of the object and the person.