Two billiard balls of equal mass (0.2 kg) collide in a two-dimensional scenario. Ball is initially moving to the right at 2 m/s, while Ball B is initially moving upwards at 3 m/s. After the collision, Ball A moves upwards at an angle of 30 degrees to the left of its original direction at a speed of 1 m/s, while Ball B moves to the right at an angle of 60 degrees downwards from the horizontal at a speed of 2 m/s. Assume the collision is perfectly elastic. a. Determine the magnitude and direction of the velocity of Ball A after the collision. b. Calculate the magnitude and direction of the velocity of Ball B after the collision. c. Calculate the total kinetic energy of the system before and after the collision. d. Using momentum conservation, verify whether the total momentum of the system is conserved before and after the collision.