In today's world, the Industrial Revolution, the age of machinery, new technologies have developed rapidly with the production of goods that have opened doors for humankind. There have been new-age technologies that have helped speed up agricultural domains and result in overgrowing productions. 'Nature may have tricks up her sleeve to check us if the chemists exploit her too greedily' is related to today's context as overexploitation of resources is very harmful to today's Nature. When all these technologies override Nature without any control, we humans have to face many problems in the future. The use of chemical fertilisers in factories, agricultural fields create a varied impact on Nature. Thus, the author, G.B Shaw, means that there should be a check on natural resources.

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?