Final answer:
The final velocity of the stationary ball after a collision with another billiard ball can be determined using the principles of conservation of momentum and kinetic energy.
Step-by-step explanation:
The final velocity of the stationary ball after the collision can be determined using the law of conservation of momentum and the law of conservation of energy, given that the balls have the same mass and the collision is elastic. In this situation, you stated that the first ball moving at 5 m/s strikes a stationary ball of the same mass and then moves at 4.33 m/s at an angle of 30 degrees with respect to its original direction after the collision. The initial velocity of the stationary ball is 0 m/s, since it was at rest before the collision. The final velocity of the moving ball after the collision is given as 4.33 m/s at 30 degrees. To find the final velocity of the stationary ball, we can apply the conservation laws which tell us that the total momentum of the system and the kinetic energy must be the same before and after the collision.