The greatest acceleration or deceleration that a train may have is α .The minimum time in which the train can get from one station to the next at a distance S is
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d = ut + 0.5dt^2
Firstly:
Differentiate t w.r.t d then,
1 = udt/dd +d*t*dt/dd
dt/dd(u+t*d) = 1
dt/dd = 1/(u + t*d)
1/(u+td) = 0
Here t is an infinity
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