16. O 20 points OSCoPhys 1 2.5.04 XP My Notes O Ask Your express subway train pa

Question

16. O 20 points OSCoPhys 1 2.5.04 XP My Notes O Ask Your express subway train passes through anu through. The station in 200 m long it enters at t-O with an initial velocity of 18.0 m/s and decelerates at a rate of 0.150 m/'s2 as it goes (a) How long is the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c) If the train is 130 m long, at what time t does the end of the train leave the station? (d) What is the velocity of the end of the train as it leaves? mvs

Explanation / Answer

(a) By using the second equation of motion,

s = ut + 0.5at^2

200 = 18t + 0.5*0.15t^2

t = 11.68 s

(b) By using first equation of motion,

v = u + at

= 18 - 0.15*11.68

= 16.25 m/s

(c) Again using the second equation of motion,

200+130 = 18t - 0.5*0.15t^2

t = 20 s

(d) v = u + at

= 18 - 0.15*20

= 15 m/s answer

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