(Solution) - In a game of pool -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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In a game of pool, ball A is moving with a velocity v0= v0i when it strikes balls B and C, which are at rest side by side. Assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the final velocity of each ball, assuming that the path of A is
(a) Perfectly centered and that A strikes B and C simultaneously,
(b) Not perfectly centered and that A strikes B slightly before it strikesC.