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One billiard ball is shot east at 2.15 m/s. A second, identical billiard ball is shot west at 1.42 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90^\circ and sending it north at 1.74 m/s.What is the speed of the first ball after the collision? What is the direction of the first ball after the collision? Give the direction as an angle south of east.

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