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A police car is traveling at a velocity of 16.0 m/s due north, when a car zooms by at a constant velocity of 45.0 m/s due north. After a reaction time 0.300 s the policeman begins to pursue the speeder with an acceleration of 4.00 m/s^2. Including the reaction time, how long does it take for the police car to catch up with the speeder?

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