During the Mughal era, the village Panchayat served as an important local institution responsible for administering justice, managing community affairs, and representing the concerns of the rural population.
The Panchayat was typically composed of respected elders from the village community, including the muqaddam (village headman) and the patwari (village record keeper). It settled disputes related to land, caste issues, thefts, and domestic conflicts.
The Panchayat acted as a collective voice for the villagers, especially in dealings with local officials such as revenue collectors (zamindars) or Mughal amils. It often resisted unjust taxes or exploitation.
Panchayats upheld village customs, regulated water usage, land sharing, and forest access. This role ensured that the customary rights of peasants were protected against encroachment.
During famines, invasions, or revenue failure, Panchayats negotiated relief, organized community resources, and appealed to authorities for help. They acted as mediators between the state and rural society.
Thus, Panchayats during the Mughal era were more than just judicial bodies—they were vital grassroots institutions that advocated for and protected the rights and interests of common people in rural India.

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?