Two metal balls of equal mass collide elastically (what does this mean in terms of conservation?), with the collision happening at the origin. The second ball starts out at rest at the origin, and the first ball starts out approaching the origin with some velocity, moving entirely in the positive x direction. The second ball ends up traveling at 12 m/s, moving in a direction that is 60 degrees above the positive x axis. Find the final velocity (magnitude and direction) of the first ball, and find the initial speed of the first ball.
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