A student performs an experiment in which a 4kg object travels across a horizontal surface with an initial speed velocity of 6m/s and a 2kg object travels across a horizontal surface with an initial speed velocity of −3m/s. The objects travel toward each other and collide. Data collected from the experiment were used to create the velocity versus time graph shown that contains information about both objects before and after the collision. The positive direction is considered to be to the right. Which of the following statements are true regarding the data from the experiment?

A- Both objects always travel in the positive direction during the experiment.

B- Kinetic energy is conserved during the experiment.

C- The position of the center of mass of the system remains constant during the experiment.

D- The velocity of the center of mass of the two-object system remains constant during the experiment.

The principle of conservation of linear momentum states that the total momentum of the system before after collision is always conserved for both elastic and inelastic collision.

[tex]m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\ \ (elastic)\\\\m_1 u_1 + m_2 u_2 = v(m_1 + m_2 ) \ (inelastic)[/tex]

Conservation of kinetic energy

The total kinetic energy of the system is conserved for perfectly elastic collision BUT not conserved for inelastic collision.

The center mass of the system

The center mass of the system is always constant.

Thus, the position of the center of mass of the system remains constant during the experiment.

Learn more about elastic and inelastic collision here: https://brainly.com/question/7694106