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1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds?

1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds? 2. Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in diameter and 6 m high. How fast is the water level rising? 3. How fast is the surface area of a cube changing when the edge is 30 cm. If the edge is changing at the rate of 3 mm per second? 4. A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow lengthen ?
Transcribed Image Text:1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the balloon receding from the observer after 8 seconds? 2. Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in diameter and 6 m high. How fast is the water level rising? 3. How fast is the surface area of a cube changing when the edge is 30 cm. If the edge is changing at the rate of 3 mm per second? 4. A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow lengthen ?
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