A locomotive driver travelling at 81 km/hr finds a signal 280 metres ahead of him indicating that he should stop. He instantly applies brakes to stop the train. The train retards uniformly and stops 10 metres before the signal post. What time did he take to stop the train?
1). 5 seconds
2). 10 seconds
3). 15 seconds
4). 20 seconds
The speed of the train = 81 × 5/18 = 45/2 m/s
Distance travelled by the train = 280 – 10 = 270 metres
Time = distance /speed
Time taken by the train to stop = 270 × 2/45 = 12 sec