Project Name : A safe and efficient evacuation scheme
Theme Name : Mathematics Modelling
Once the lines are in position, they start moving towards the exit with speed v. We will later derive an expression for this required velocity. The distance between 2 consecutive rows is d, and therefore, the person leaving the topmost row (marked 1 in the last figure) has to travel a distance of (N-1)d to reach the last row, and another D units to get his CSphere clear of the rows. Therefore, he travels a distance of (N-1)d + D before more people can join the line. Since everybody travels
with velocity v, it takes ((N-1)d + D)/v units of time before N more people can join the line.
Here’s a pictorial for the step
Name of the School: Birla Vidya Niketan, Pushp Vihar, New Delhi.
