v=0.12t(6-t)=dx/dt
Integrating with respect to time:
=>x=0.12[3t^2-0.5t^2]+C
When t=0, x=0 (note x describes the displacement (or in this case, distance) from the first station after a time t):
C=0
Hence, x=0.12[3t^2-(1/3)t^3]
From part (i) we know that when t=6 minutes the train reaches the...