Understanding the Plasmodium life cycle is crucial for malaria prevention and treatment strategies.
The life cycle of Plasmodium: Sporozoites enter the human bloodstream via a mosquito bite and infect liver cells. They multiply in liver cells to form merozoites, which are released into the bloodstream. Merozoites infect red blood cells, multiply, and cause cell rupture. Gametocytes are formed and circulate in the blood. When a mosquito bites, gametocytes are taken up, continuing the cycle.
The life cycle of Plasmodium: Sporozoites enter the human bloodstream via a mosquito bite and infect liver cells. They multiply in liver cells to form merozoites, which are released into the bloodstream. Merozoites infect red blood cells, multiply, and cause cell rupture. Gametocytes are formed and circulate in the blood. When a mosquito bites, gametocytes are taken up, continuing the cycle.

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?