The video obtained by WXIA-TV shows Roswell police Officer Courtney Brown asking Sarah Webb whether she knew how fast she was going.
Webb was arrested on charges of reckless driving, too fast for conditions and speeding - all misdemeanors, according to the arrest report.
"It's disgusting. I mean you have to think about the fact that these are the people that we rely on when we are in trouble", said Sarah Webb.
Rusty Grant, the chief of police in Roswell, told NBC News that the officers have been placed on leave.
Batman villain Two-Face liked to flip a coin to decide one's fate.
Webb was pulled over in April for driving almost twice the limit; she was doing 80 on a rain-slicked roadway posted at 45 miles per hour, the report said.
The officers then returned to Webb, still waiting at her auto. Now, amid our investigation, both officers are on administrative leave. The heads or tails decision went against Webb who was arrested on the more serious charge of reckless conduct and speeding. The other officer pointed out she also didn't have any tickets.
The television station said Brown opened the app on her phone, after which Officer Kristee Wilson suggested that heads meant arrest and tails meant to release.
She said she's still contemplating whether or not to seek legal action after the coin toss that tossed her into jail and into the public limelight.
Sounds of a coin flip and laughter follow.
Officer Wilson: "This is tail right?"
With their options only to arrest Sarah and take her to jail or to release her, Brown turned to a coin for help.
"I'm appalled that a police officer would trivialize the arrest decision making process with a coin flip", said Chief Grant. "He cannot come and do that.' When he very well could have come and got my vehicle", Webb recalled of the conversation she had with the officers about her auto being impounded.
"Wow, these people really put my freedom in the hands of a coin flip and that's disgusting", Webb told 11 Alive, adding, "It's nearly hard for me to believe". An internal affairs investigation is already underway.