32. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string has been let out?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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3.9-Number 32, please
18H IS SHOWN In the figure. If the pool is being filled at a rate of 0.8 ft/min, how
fast is the water level rising when the depth at the deepest point is 5 ft?
Answer
6
12
16
Answer
3
31. The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area of
the triangle increasing when the sides are 30 cm long?
6
32. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle
between the string and the horizontal decreasing when 200 ft of string has been let out?
33. A car is traveling north on a straight road at 20 m/s and a drone is flying east at 6m/s at an
elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance
between the drone and the car changing 5 seconds later?
34. If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out area
as a function of r.
Transcribed Image Text:18H IS SHOWN In the figure. If the pool is being filled at a rate of 0.8 ft/min, how fast is the water level rising when the depth at the deepest point is 5 ft? Answer 6 12 16 Answer 3 31. The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? 6 32. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string has been let out? 33. A car is traveling north on a straight road at 20 m/s and a drone is flying east at 6m/s at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later? 34. If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out area as a function of r.
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