Swiatek eases past Collins while Pegula survives stern test
World number one Swiatek broke Collins seven times, faced only two break points and wrapped up a one-sided match in a tidy 59 minutes.
"I feel like I was really solid and I didn't make a lot of unforced errors," Swiatek said in her on-court interview.
"I really like playing that way because it gives me confidence and I can be proactive from the beginning to the end so I am pretty proud of today."
Swiatek raced out to a 3-0 lead in the opener and, after both players swapped service breaks, the top-seeded Pole held to love before closing out the set with her fourth break.
It was more one-way traffic in the second set as a fully focused Swiatek shifted into cruise control and barely broke a sweat in a match she ended in style with a break to love.
Earlier, Jessica Pegula had her hands full in her first match since winning last week's Canadian Open as the American overcame a slow start to secure a gutsy 6-7(2) 6-2 6-3 win over Italian qualifier Martina Trevisan.
Pegula comfortably lost the first-set tiebreak but showed her quality in the second set before racing out to a 3-0 lead in the decider en route to her 27th hardcourt win this year.
Wimbledon champion Marketa Vondrousova, the Czech 10th seed, beat Anastasia Potapova 6-4 6-2 and Russian 14th seed Daria Kasatkina overcame lucky loser Varvara Gracheva 6-3 6-1.