Two identical marbles on a frictionless surface are initially at rest. They are then struck by a third identical marble moving horizontally at 1.5 m/s as shown in the figure below. After the collision, both of the first two marbles move at an angle of 45° to the initial path of the third marble. Assuming the collision is perfectly elastic, find the speeds of all three marbles post-collision.

• A. v_a' = 1.06 m/s, v_b' = 1.06 m/s, v_c' = 0 m/s
• B. v_a' = 1.06 m/s, v_b' = 2.06 m/s, v_c' = 0.044 m/s
• C. v_a' = 2.06 m/s, v_b' = 1.06 m/s, v_c' = 1.41 m/s
• D. v_a' = 2.06 m/s, v_b' = 2.06 m/s, v_c' = 1.41 m/s

Answer: (A)