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The greatest acceleration or deceleration that a train may have is $\alpha$ .The minimum time in which the train can get from one station to the next at a distance S is

$\begin{array}{1 1}(A)\;\large\frac{S}{a} \\(B)\;\large\frac{2S}{a}\\(C)\;2\sqrt{\large\frac{S}{a}}\\(D)\;\sqrt {\large\frac{S}{2a}} \end{array}$

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If the train has accelerated with acceleration $\alpha$ for t , seconds , moved with zero acceleration $\alpha$ (ie) constant velocity nv for t_o seconds and decelerated with retardation $\beta$ for $t_2$ seconds .
$t= t_1+t_0+t_2$
Where l is the distance covered with constant velocity v.