Dear Students of Class IX,
The Trips and Treks Department is excited to announce a week-long educational trip to Rajasthan during the autumn holidays, offering a chance to explore the rich culture, history, and heritage of this vibrant state.
Trip Details:
Dates: October 20, 2025 - October 26, 2025
Destinations: Jaipur, Jodhpur, and Udaipur
Cost: INR 15,000 per student (includes travel, accommodation, meals, and entry fees)
Registration and Payment:
Interested students must submit the consent form and full payment to the Trips and Treks Department by September 20, 2025. Forms are available at the school office.
Contact Information:
For queries, contact Mr. Rajesh Kumar, Head of Trips and Treks Department, at trips.treks@school.org or call 987-654-3210.
Join us for an unforgettable journey through the land of forts and palaces!
Sincerely,
Mr. Rajesh Kumar
Head of Trips and Treks Department

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?