As Ms. Pierson explained how the bikes worked in front of the Prince Coffee House on Arthur Avenue, Victor Sanchéz, 30, a butcher on his way to work, rolled up on a bicycle he had borrowed from a friend and asked how he could sign up.

He had a debit card, he said, “but paying in cash is better.”

Ms. Pierson said that Jump users could also pay with cash at certain locations, like CVS, 7-Eleven and Family Dollar Stores. Jump also has subscriptions available for low-income riders, similar to Lime and Pace, two dockless bike-share operators in the Rockaways.

The pilot program will last for six months, when it will be reviewed by the Department of Transportation.

More than 300 free-standing bikes were introduced in the Rockaways on July 13, during the first phase of the city’s dockless bike expansion. But the rollout has not been celebrated by everyone.

Some residents in the Rockaways, like Luis Carrero Jr., 56, call the bikes a nuisance. Pace bikes there require riders to lock the bike to a rack or a pole; Lime bikes must be left in designated zones.

“People take the bikes and leave them wherever, in front of your house, next to your car, you see them literally all over the place,” said Mr. Carrero, who has lived in the Rockaways for nearly two decades. “The sidewalks are jammed with them and just left there, thrown on the sidewalk, in no order.”