Serena one step closer to first Slam of season

Williams taking nothing for granted despite emphatic second-round win

Five-time champion Serena Williams swept into the third round of the US Open on Thursday, but she is taking nothing for granted as she bids for a first Grand Slam title of the season.

Seemingly unperturbed by the wind swirling in Arthur Ashe Stadium, Williams thrashed fellow American Vania King 6-1, 6-0.