Here's a little story from January, 1990.
After separating from the rest of the Battle Group, the Big E and Long Beach set course south, heading along the eastern coast of Africa to cross the cape, heading towards South America and eventually Norfolk. This was to finish a world cruise for the USS Long Beach, and to deliver Enterprise for her refueling/refit.
A day after the rest of the battle group was left behind, a Soviet helicopter appeared over the horizon, followed by a surface battle group. Both nuclear powered ships took off, with Big E about a mile behind Long Beach at the time. Long Beach accelerated to um...well she's decommissioned so I'll say it anyway...42 knots. Enterprise passed us like we were standing still.
The Big E can move like nothing else in the water when she wants.