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If $X_1(t)$ is the position of the rightmost particle of the branching Brownian motion at time $t$, the empirical velocity $c$ of this rightmost particle is defined as $c=X_1(t)/t$. Using the Fisher-KPP equation, we evaluate the probability distribution ${\\mathcal P(c,t)}$ of this empirical velocity $c$ in the long time $t$ limit for $c > 2$. 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