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Two billiard balls are rolling on a perfectly level, frictionless pool table. The first one is moving purely in the $+x$ direction at a speed of 1.5 m/s. The second is moving purely in the $+y$ direction at a speed of 2.3 m/s.

Both balls have the same mass. After a perfectly elastic collision, the first billiard ball is observed to have an $x$-component of its velocity as being 1.1 m/s, and its $y$-component of velocity is positive.

What is the magnitude of ball 1's final $y$ velocity?

A

0.8 m/s

B

1.7 m/s

C

2.1 m/s

D

3.8 m/s

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