A police car is traveling at a velocity of 19.0 m/s due north, when a car zooms by at a constant velocity of 41.0 m/s due north. After a reaction…

A police car is traveling at a velocity of 19.0 m/s due north, when a car zooms by at a constant velocity of 41.0 m/s due north. After a reaction time of 0.900 s the policeman begins to pursue the speeder with an acceleration of 5.10 m/s2. Including the reaction time, how long does it take for the police car to catch up with the speeder?