: In 'Adventure' Jayant Narlikar expressed that many world exist simultaneously though they appear to be separated by time. He expressed that the other world also existed and prospered with the world we are aware of. On the other hand, In the third level, Charley a young new York commuter wandering Grand Central Station by accident finds a gateway that leads to a real past of 1894Seizing the opportunity Charley attempts to escape the rat race by buying a one way ticket to his childhood town of Galesburg. Not having proper currency for that period, he forced to postpone his plan to escape to the past.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?