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## Homework Statement

Two balls od the same masses collide, the first one is moving with the velocity [tex]v_1[/tex], the second is stationary. The angle between them is given by the statement: "the direction of the velocity of the first ball forms an angle [tex]\alpha=30^\circ[/tex] with the plane of osculation of the balls after the collision"

I have to find magnitude and direction of the velocity after the collision.

## Homework Equations

[tex]\vec{p_1}=\vec{p_2}[/tex]

## The Attempt at a Solution

[tex]m\vec{v_1}=(m+m)\vec{v_2}[/tex]

[tex]\vec{v_2}=0,5\vec{v_1}[/tex]

[tex]v_{2x}=0,5v_{1x}=0,5v_1cos\alpha[/tex]

[tex]v_{2y}=0,5v_{1y}=0,5v_1sin\alpha[/tex]

**4. The problem**

Sounded good to me but the answer is:

velocity perpendicular to the plane: [tex]0,5v_1sin\alpha[/tex]

velocity parallel to the plane: [tex]vcos\alpha[/tex]

And I don't have any idea where did I make the mistake :/