An express subway train passes through an underground station. It enters at t = 0 with an initial velocity of 18.5 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station in 190 m long.

(a) How long is the nose of the train in the station?

s

(b) How fast is it going when the nose leaves the station?

m/s

(c) If the train is 130 m long, at what time t does the end of the train leave the station?

s

(d) What is the velocity of the end of the train as it leaves?

m/s