A 130 m long train was coming into a station. The train decelerated at a rate of 0.150 m/s2 as it entered the station. The station was 210 m long.

a) The driver managed to stop the train when the tail of the train reached the end of the station. What was the entering velocity of the train into the station?

b) If the driver wanted to stop the train at the middle of the station, what should be the rate of deceleration (consider entering velocity as that is calculated in question ‘a’)? 

c) What was the time required to stop the train at the middle of the station?

d) If the train decelerates at a rate of 0.160 m/s2, where will the train stop (the position of the nose of the train with respect to the end of the station)?