Prelab $1$: Consider a head$-$on collision between two billiard balls of equal mass on a frictionless surface. The eight ball is initially at rest and the white cue ball moves toward it$,$ striking in a head$-$on collision.

Sketch a position $vs,$ time graph for each ball, starting with time before the collision and ending a short time after the collisions based on the velocity time graph shown.

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