# 7. A billiard ball is shot east at 2.30 m/s. A second, identical billiard ball is shot west at 1.80 m/s. The balls has a glancing collision, not a head-on-collision, deflecting the second ball by 90° and sending it north at 1.50 m/s. What is the angle that the velocity of the first ball makes after the collision, with respect to the east direction?

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7. A billiard ball is shot east at 2.30 m/s. A second, identical billiard ball is shot west at 1.80 m/s. The balls has a glancing collision, not a head-on-collision, deflecting the second ball by 90° and sending it north at 1.50 m/s. What is the angle that the velocity of the first ball makes after the collision, with respect to the east direction?

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Step 1

From conservation of momentum along horizontal axis,

Step 2

Therefore

Step 3

From conservation of momentum along vertical axis,

...

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