The officers' vehicle was struck by a black Mercedes at the intersection of Dyckman Street and Nagle Avenue in Inwood just after 5:30 a.m. Friday.
The officers were being treated for leg and hand injuries at the hospital.
Police lost sight of the vehicle crossing the 207th Street Bridge into the Bronx.
The vehicle was occupied by two men, who are suspected of being involved in a robbery.
The search continues for the two men inside the vehicle.
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