Chapter 14.2, Problem 14.51P

In a game of billiards, ball A is given an initial velocity v₀ along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the table squarely at A' and C'. respectively, and ball B is observed to hit the side obliquely at B'. Knowing that $v_0=4\text{m/s},v_A=1.92\text{m/s}$ , and a = 1.65 m, determine (a) the velocities $v_B$ and $v_C$ of balls B and C, (b) the point C' where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).