In a game of pool, ball A is moving with a velocity v0 of

Chapter 14, Problem 14.41

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In a game of pool, ball A is moving with a velocity \(\mathbf{v}_{0}\) of magnitude \(v_0=15\mathrm{\ ft}/\mathrm{s}\) when it strikes balls B and C, which are at rest and aligned as shown. Knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (i.e., conservation of energy), determine the magnitudes of the velocities \(\mathbf{v}_{A}\), \(\mathbf{v}_{B}\), and \(\mathbf{v}_{C}\).

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