The distance between two stations is 2.50 km. A locomotive starting from one station gives the train an acceleration reaching a speed of 36 km/hr in 30 sec until the speed reaches 54 km/hr. This speed...

The distance between two stations is 2.50 km. A locomotive starting from one station gives the train an acceleration reaching a speed of 36 km/hr in 30 sec until the speed reaches 54 km/hr. This speed is maintained until the brakes are applied and the train is brought to rest at the second station under a retardation of 1 m/s². Find the time taken to perform the journey and the distances covered during the accelerated, uniform and retarded motion.