Solve the all parts of given problem:

Problem: An express subway train passes through an underground station. It enters at t = 0 with an initial velocity of 20.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station in 215 m long,

Part A: How long is the nose of the train in the station?

s

Part B: How fast is it going when the nose leaves the station?

m/s

Part C: If the train is 130 m long, at what time t does the end of the train leave the station?

s

Part D: What is the velocity of the end of the train as it leaves?

m/s

Please show the work for the calculation so I can understand what I'm doing. Thanks!