A $0\mathrm{.}058$ kg tennis ball is moving to the right at $5$ m$/$s$.$ The tennis ball collides with a racket of mass $0\mathrm{.}3$ kg being held by a child. How fast does the ball travel after it bounces off of the racket? The force of the ball on the racket is represented by a discontinuous function: increasing from $0$ to $400$ N in the first second, stable at $400$ N for $0\mathrm{.}5$ seconds, and decreasing from $400$ N to $0$ for the final second.

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