The proposal to be considered Tuesday would allow the use of handsfree devices, but dialing, texting or e-mailing would be off-limits to motorists within the city limits.
The measure would also prohibit the use of cell phones by bicyclists, inline skaters and people on scooters or skateboards.
Fines would range from $150 to $300.
A study by the Harvard Center for Risk Analysis found cell phone use linked to 6 percent of all crashes.
According to the Automobile Association of America, five states and nearly a dozen municipalities in the United States ban the use of handheld phones while driving.
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