While you are driving on a straight road at \(97 \mathrm{~km} / \mathrm{h}\), a police car traveling in the opposite direction comes toward you with the siren blaring, and the frequency you hear is \(310 \mathrm{~Hz}\). Starting when the two of you are \(200 \mathrm{~m}\) apart, it takes you \(3.00 \mathrm{~s}\) to pass the police car. What is the frequency of the siren?