Hamilton, who is visiting New Zealand before traveling to the Australian F1 Grand Prix, posted two videos to social media, both taken from close range, apparently showing him riding a Harley Davidson motorcycle on an Auckland motorway.
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It has been illegal in New Zealand to use a mobile phone while driving a vehicle since 2009.
A police spokesman was quoted by the New Zealand Herald as saying authorities would "take a strong stance on any activity which places undue risk on the lives on any person on the road."
