Acar speeds past a stationary police officer while traveling 130 km/h. the officer immediately begins pursuit at a constant acceleration of 10.1 km/h, just as the driver passes the officer. how much time, in seconds

Speed of car = 130 km/hr = 130*5/18 = 36.11 m/s

Let the time taken for catching up be t,

         Distance traveled by car = 36.11 t

Acceleration of police vehicle = 10.1 km/h/s = 10.1*5/18 = 2.81 m/

Distance traveled by police vehicle in time t =

          Here u = 0, a = 2.81 m/

         So, Distance = 0*t+

Comparing both the distances we have

So after 25.70 seconds police vehicle will catch car.