Related Rates Day 2

4.6

Water is flowing into a cone-shaped tank at the rate of 5 cubic inches per second. If the cone has an altitude of 4 inches and a base radius of 3 inches, how fast is the water level rising when the water is 2 inches deep?

Two boats are approaching a buoy along paths that make a 90 degree angle. The first boat is 160 feet from the buoy and is traveling at a rate of 30 feet per second. The second boat is 135 feet from the buoy and is traveling at a rate of 35 feet per second. Find the rate of change of the distance between the boats.

An observer stands 20 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rate at which the angle of elevation from the observer to the flag must be changing at the instant that the flag is 15 feet above eye-level.

A camera is mounted at a point 3000 ft from the base of a rocket launching pad. If the rocket is rising vertically at 880 ft/sec when it is 4000 ft above the launching pad, how fast must the camera elevation angle change at that instant to keep the camera aimed at the rocket?

pg 235 #1-10,12 16,18,20,21,23,24 Also read p231-234

A fish is reeled in at a rate of 1 foot per second from a point 10 feet above the water. At what rate is the angle between the line and the water changing when there is a total of 25 feet of line out?