A student is on board the express train when it passes through the subway station. He notices that the train's acceleration decreased as it entered the station. The speed of the train as its nose entered the 210 meter long station is 22.0 m /s. The train decelerates at a rate of 0.150 m /s2.
(a) Obtain how long is the nose of the train in the station?
(b) Find how fast is the train going when its nose leaves the station?