Notice for Gym Opening
P.S. PUBLIC SCHOOL,
ARAM NAGAR NOTICE
Date:
Subject: Gym Facility for Students
This is to inform all students that the school has opened a state-of-the-art gymnasium on campus for the benefit of students. The gym offers modern equipment, including treadmills, weights, and fitness machines.
Timings: 7:00 AM to 9:00 AM and 4:00 PM to 6:00 PM.
Students are encouraged to use this facility to maintain their fitness and health. For further details, contact the undersigned.
Sports Captain

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?