On clearance and settled cultivation
Passing through one village in the lower Rajmahal hills, Buchanan wrote: The view of the country is exceedingly fine, the cultivation, especially the narrow valleys of rice winding in all directions, the cleared lands with scattered trees, and the rocky hills are in perfection; all that is wanted is some appearance of progress in the area and a vastly extended and improved cultivation, of which the country is highly susceptible. Plantations of Asan and Palas, for Tessar (Tassar silk worms) and Lac, should occupy the place of woods to as great an extent as the demand will admit; the remainder might be all cleared, and the greater part cultivated, while what is not fit for the purpose, might rear Plamira (palmyra) and Mowa (mahua).
Buchanan described the view of the lower Rajmahal hills as exceedingly fine and picturesque. He observed:
Despite the aesthetic appeal, Buchanan noted a lack of developmental progress and believed the region held significant agricultural potential.
Buchanan believed the area had high potential for improved cultivation because:
Buchanan proposed a range of strategies to economically benefit from the land:
His suggestions reflect a colonial mindset that aimed to maximize land productivity and generate revenue from local 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?