88 Answered Questions for the topic Related Rates

Related Rates

02/25/18

related rates

A 6-foot-tall woman walks at 6 ft/s toward a street light that is 18 ft above the ground. What is the rate of change of the length of her shadow when she is 16 ft from the street light? At what... more
Related Rates

02/18/18

Related rates

A lighthouse is fixed 170 feet from a straight shoreline. A spotlight revolves at a rate of 17 revolutions per minute, (34 rad/min ), shining a spot along the shoreline as it spins. At what rate is... more
Related Rates Calculus

02/15/18

Related Rates Quesiton

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular... more
Related Rates Calculus Mathematics

01/12/18

Related Rates Question

5) A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow... more
Related Rates Calculus

01/10/18

I need help checking a related rates problem I made. Please help!

As part of a project, I need to create a related rates problem. I made one, but when I work it out, I get an answer that doesn’t look right. This is the problem: A bird is flying north at a speed... more
Related Rates

12/18/17

distance changing between two moving objects

Brad is traveling one mile east of a 90 degree intersection traveling east at 30 mph Abby is 5 miles north of the intersection traveling south at 18 mph ten Minutes later how fast is the distance... more
Related Rates Calculus

10/27/17

I don't understand this question at all

It is estimated that the annual advertising revenue received by a certain newspaper will be R(x) = 0.5x2 + 3x + 160    thousand dollars when its circulation is x thousand. The circulation of the... more
Related Rates Math

04/10/17

Water is leaking out of an inverted conical tank at a rate of 7100.000 cubic centimeters per min?

Water is leaking out of an inverted conical tank at a rate of 7100.000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height... more
Related Rates Derivatives Calculus 1

03/15/17

Calculus related rates

 A plane flying horizontally at an altitude of 4 mi and a speed of 465 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing... more
Related Rates

12/13/16

Related rates sliding ladder

A 10m ladder is leaning against the vertical wall of a house. If the lower end of the ladder is being pulled horizontally away from the wall at the rate of 0.6m/s, how fast is the top of the ladder... more
Related Rates

11/14/16

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? more
Related Rates

11/14/16

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1... more
Related Rates Calculus Derivative

03/27/16

Related rates problem

The rate at which ice is melting in a pond is given by dV/dt= √(1+2t), where V is the volume of ice in cubic feet, and t is the time in minutes. What amount of ice has melted in the first 5... more
Related Rates

03/17/16

a spherical balloon is being in being inflated at a rate of 3cm^3/s. how fast is the radius increasing when the radius of the balloon is 4cm?

It is about related rates, in the shape of a balloon
Related Rates

03/02/16

related rates

A person is 8 meters away from a road and there is a car that is initially 800 meters away approaching the person at a speed of 45 m/sec. At what rate is the distance between the person and the car... more
Related Rates Calculus Derivatives

02/25/16

Related Rates Question

Water is leaking out of an inverted conical tank at a rate of 139000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 150... more
Related Rates Calculus 1

10/26/15

i need to solve this using related rates.

A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the... more
Related Rates Math Calculus Derivatives

10/18/15

Calculus help for related helps please!!! :)

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is... more
Related Rates

10/16/15

Related Rates Questions! Need Help!!

Two trains leave a station at the same time. One travels north on a track at 70 mph. The second travels east on a track at 97 miles per hour. How fast are they traveling away from one another in... more

Related Rates

A child's balloon rises into the air at a rate of 2.5 ft/sec. The child runs over to his mom (5.75 feet from where he lost it) and watches the balloon ascend into the sky. How fast is the angle of... more

Related Rates Question

My circular swimming pool has a 30 foot diameter and is 6 feet tall. The flow rate from my spigot into the pool is about 1.84 feet per minute. How fast is the water level, h, rising at the moment... more

What is The actual speed (along the road) of the red car for the measurement feet per second?

A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police... more

07/07/15

What is The rate of change of the area enclosed between the circle and the square

A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5... more

07/07/15

Find the rate at which the water level is rising when the water level is 2 cm

An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more
Related Rates Calculus

06/20/15

Cylindrical Tin

The volume of a cylindrical tin can with a top and bottom is to be 16π cubic inches. If a minimum amount if tin is to be used to construct the can, what must be the height, in inches, of the can?

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