CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
A rocket is rising at a constant speed of 5 mi/s. A person is filming from their car on a straight road at a speed of 13/12 mi/s. When the car passes directly under the rocket, the rocket is 3 miles above the car. How fast is the distance between the car and the rocketincreasing 2 seconds later? (Answer: 5.1 mi/s)
A police car is parked 50 feet due north of a stop sign on straight road.
A red car is travelling towards the stop sign from a point 160 feet due east on the road.
The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90
feet per second.
How fast is the red car actually traveling along the road?
The actual speed (along the road) of the red car is
(Note: Think right triangle.)
(Enter your answer as a decimal number rounded to 2 places.)
feet per second
A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet away from the launching
point. How fast is the distance between the hot-air balloon and the observer changing after 90 seconds?
20ft/s
200 ft
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- A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?arrow_forwardThe kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardBen starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?arrow_forward
- In Figure 208, gear A is turning at 120 revolutions per minute and gear B is turning at 3.6 revolutions per second. Determine the ratio of the speed of gear A to the speed of gear B.arrow_forwardIf a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.arrow_forwardThe resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forward
- An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.arrow_forwardAnother researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?arrow_forwardB. A photographer is stationed 250 feet from the base of a tall tree. She observes a koala bear climbing up the tree at a rate of 1.5 feet per second. At the instant when the koala bear is 5 feet up the tree, how fast is the distance between the photographer and the koala bear changing?arrow_forward
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