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 #1-10,1216,18,20,21,23,24
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?