Two pool balls lie stationary on a pool table I\" 4.0 In .| with dimensions shown on the right. What initial velocity do you need to give the cue ball so that the other ball goes into the top left comer pocket and the cue ball goes into the top right corner pocket a time t = 1 second after the collision? (Assume both balls have the same mass and there is no friction from the table.) Three spheres approach the origin as they slide over a frictionless table. Each sphere has an initial velocity. Va. vb. vc and mass 111;. mb. inc. The three spheres arrive at the same time. collide and stick together as ABC. |va|=2.lm/s [vh[=l.61nfs lvc|=l.81n/s B=64 ma=2.5kg1ns=3.6kg n1c=5.4kg a. What kind of collision is this? b. Calculate the momentum of each sphere before the collision (vectors!) c. Solve for the velocity of the combined sphere ABC immediately after the collision. d. How far will the combined sphere travel after t= 12 s