A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than to the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 2.1 s after the first, and the third echo arrives 0.5 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance between the cliffs. 445.9 Incorrect: Your answer is incorrect. m

Answers

Answer 1

Answer:

531.65 m

Explanation:

Let d₁ be the distance between the hunter and the closer cliff and d₂ be the distance between the hunter and the farther cliff. The speed of sound v = 343 m/s.

t₁ is the time taken for the sound to reach the neared cliff and return back to the hunter as echo. Hence:

t₁ = 2d₁/343

t₂ is the time taken for the sound to reach the farther cliff and return back to the hunter as echo. Hence:

t₂ = 2d₂/343

t₂ - t₁ = 2.1

2d₂/343 - 2d₁/343 = 2.1

d₂ - d₁ = 360.15        (2)

t₃ is the time taken by the third echo as a result of the second echo reaching the nearer cliff. Hence:

t₃ = 2d₁/343

0.5 = 2d₁/343

d₁ = 85.75 m

d₂ - d₁ = 360.15

d₂ - 85.75 = 360.15

d₂ = 445.9 m

The distance between the two cliffs = d₁ + d₂ = 445.9 + 85.75 = 531.65 m


Related Questions

PLEASE HELP QUICKLY!!!
what happens to the motion of objects when they hit each other?

Answers

Answer:

When two objects in motion hit each other they experience forces that are equal in magnitude and opposite in direction. This force causes one of the objects to speed up or gain momentum and other to slow down or lose momentum.

Made up of the crust and tiny bit of the mantle, this layer is divided into several constantly moving plates of what

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Answer:

Explanation:

solid rock that hold the continents and oceans

hii please help i’ll give brainliest!!

Answers

The answer is C Because it is just C
It is C because his third law is for every action there is an equal and opposite reaction

What is the mass of a 50kg object in space with no gravity?

Answers

Answer:

The answer would be 0kg.

Your welcome.

5) A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of -5.00 m/s as it comes to rest (n) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long?​

Answers

Answer:

1000 meters, 200 meters

Explanation:

Given: Vi = 100 m/s and a = -5 m/s^2

From uniformly accelerated equation:  v = Vi + a t

then substitute

0 = 100 -5 t

t = 20 seconds

to go from 100 to 0 at -5m/s^2

d = Vi (20) - (1/2)(5)(20)^2

d = 100 (20) - 2.5(400)

= 2000 - 1000

= 1000 meters to stop, runs 200 meters beyond the end of the runway into the harbor where he strikes a passenger ferry.

What three factors affect the acceleration of an object?

Answers

Explanation:

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased

The three factors are net force, the mass of the object and the direction of the force.

What is acceleration?

Acceleration is defined as the rate of change of velocity. It is also defined as the ratio of the net force acting on the body to the mass of the body.

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. and the direction of the force.

As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.


Therefore three factors are net force, the mass of the object and the direction of the force.

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What is the unit of energy called? (Give name and symbol)

Answers

Energy is sometimes called a Joule
And a common symbol is E

Which are parts of the middle ear? Check all that apply.

a) anvil
b) ear canal
c) eardrum
d) hammer
e) stirrup
f) auricle

Answers

Answer:

middle ear has three bones! the hammer, anvil, stirrup, and ear drum

Explanation:

A semi truck has a velocity of 28m/s when it comes to a stop over 342m. What is the acceleration of the truck?​

Answers

Acceleration=
Velocity Final - Velocity Initial
————————————————-
Distance

Vf =0m/s because truck came to complete stop
Vi=28m/s
D=342m

0-28
——— =28.1m/s^2
342

A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity

Answers

Answer:

19.2 m/s

Explanation:

From the question,

Velocity = displacement/time = d/t

V = d/t.................................. Equation 1

Average velocity = Total displacement/ total time

Total dispalcement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

Substitute these value into equation 1

V = 67.08/3.5

V = 19.2 m/s.

Hence the average velocity is 19.2 m/s

The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.

average velocity is 19.2 m/s

Solution

The expression for Average velocity is

Average velocity = Total Displacement/ Total time Taken...............Eqn 1

Total Displacement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

From the Equation 1

Average Velocity = 67.08/3.5

V = 19.2 m/s.

Therefore, the average velocity is 19.2 m/s

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The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 527 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference

Answers

Answer:

 t = 6.6 10⁻⁸ m

Explanation:

In this case we have that the reflection in the film is constructive, we take into account that

* When the light is reflected from the air (n = 1) to the film (n=2) it has a phase change of 180º

* within the film the wavelength is modulated by the index of refact

          λₙ = λ₀ / n

taking into account these two aspects the expression for constructive interference is

         2n t = (m + ½)  λ₀

let's find the minimum thickness (t) of the film

         t = (m + ½)  λ₀ / 2n

for m = 0

        t = ½   527 10⁻⁹ /(2 2.00)

        t = 6.6 10⁻⁸ m

A copper wire has a cross-sectional area of 0.80 × 10-6 m2. The number density of electrons for copper is 9.5 × 10^28 m-3. A current of 18 A flows through the wire. Calculate the mean drift velocity of the free electrons in the wire. *

Answers

Answer: 1.480 mm/s

Explanation:

Given

Cross-sectional area [tex]A=0.80\times 10^{-6}\ m^2[/tex]

Number density(no of charges per unit volume) [tex]n=9.5\times 10^{28}\ m^{-3}[/tex]

Current [tex]I=18\ A[/tex]

We know, drift velocity is given by

[tex]\Rightarrow v_d=\dfrac{I}{neA}\\\Rightarrow v_d=\dfrac{18}{9.5\times 10^{28}\times 1.6\times 10^{-19}\times 0.8\times 10^{-6}}\\\Rightarrow v_d=\dfrac{18\times 10^{-3}}{12.16}=1.480\ mm/s[/tex]

what is virtual image ​

Answers

Answer:

Virtual images are images that are formed in locations where light does not actually reach. Light does not actually pass through the location on the other side of the mirror; it only appears to an observer as though the light is coming from this location.

Explanation:

what is magnetic field​

Answers

Answer:

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

Explanation:

Answer:

Explanation:

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. ... Magnetic fields surround magnetized materials, and are created by electric currents such as those used in electromagnets, and by electric fields varying in time.

The kinetic energy of an object increases as its A height B. speed increases C. volume D. potential energy​

Answers

Answer:

As its speed increases.......

The kinetic energy of an object increases as its speed increases. So, option B.

What is meant by kinetic energy ?

The type of energy that an object possesses as a result of its motion is called kinetic energy.

The kinetic energy of an object is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity.

The body keeps its kinetic energy after gaining it during acceleration, barring changes in speed.

When slowing down from its current pace to a condition of rest, the body expends the same amount of energy.

A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The kinetic energy of the object,

KE = 1/mv²

where m is the mass and v is the speed of the object.

Since, the mass is a constant, the increase in speed can increase the kinetic energy of the object.

Hence,

The kinetic energy of an object increases as its speed increases.

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Rose and Joel's children recently moved out to live independently. The couple has been missing their kids and is experiencing the empty-nest syndrome. Which TWO strategies will help them deal with their loneliness? -pursuing a hobby -joining an activity club with like-minded people -calling their children regularly -visiting their children frequently -convincing their children to move in back home with them

Answers

Answer:

Joining a club and getting a hobby

Explanation:

Join a club if you want to meet people, and when they choose a hobby it should be more than just gardening, because gardening sucks in the long term and it doesn't fill that gap. I know because my grandma did it and she is still sad.

"True or False": Because action and reaction forces are equal in magnitude, they will produce the same acceleration in both objects involved.

True. Forces that are equal in magnitude always result in the same acceleration.
True. The same acceleration will result because the two objects are acting on each other.
False. Acceleration is dependent on the mass of the object that is accelerated.
False. Even though both objects experience an equal force, only one will accelerate.

Answers

True im not 100% sure but I tried.

PLEASE HELLLPP ILL GIVE BRAINLY AND HEART

how does the Gulf stream affect the east coast of the United States?

A ) The Gulf Stream carries cool water along the east coast, causing average temperatures to be cooler than they would be without the current.
B ) The Gulf Stream carries warm water along the east coast, causing average temperatures to be warmer than they would be without the current.
C ) The Gulf Stream carries water along the east coast but the average temperatures are not affected by the current.
D ) The Gulf Stream carries warm water along the east coast but the average temperatures are not affected by the current.

Answers

Answer:

B) The Gulf Stream carries warm water along the east coast, causing average temperatures to be warmer than they would be without the current.

Explanation:

The east coast of the United States is affected mainly by the Gulf Stream current, which brings warm water from the tropics into higher latitudes. Because warmer water evaporates faster, putting more moisture into the air, the current serves to increase the humidity of the air along the coast.

Answer:

I think the answer is B fell free to correct me if im wrong.

Why does it take a long time to start Penicillin production?​

Answers

Answer:

the growth of mycelial, by which reduction in carbohydrate level occurs in the medium. Because of this reduction in carbohydrate level

Explanation:

HELP!!!! WITH THIS PLSSS!!!

Answers

Answer:

i cant do your whole assignment for you man

Explanation:


6. Calculate the pressure exerted on an elevator floor which has an
area of 6 m², if 20 people whose combined force is 1500 N are
standing on it.

Answers

Answer:

Hope this helps you out if you could please leave 5 stars or brainiest thank you

An automobile is sitting on a hill which is 20 m higher than ground level. Find the mass of the automobile if it contains 362,600 J of potential energy

Answers

M= ?
g=9.8 m/s (2)
h=20 m

Eg=362,600 J
Eg/mg

362,600 J/9.8 m/s (2) x 20 m
=1,850 m

Which of the following equations is true?
A Electrons+neutrons=atomic number
B
Electrons+protons=atomic weight
C
Protons+ Neutrons=Atomic weight

Answers

Answer:

Protons+ Neutrons=Atomic weight

Explanation:

Of the three subatomic particles, only protons and neutrons have mass. Electrons orbit the nucleus and their mass is negligible.

Answer:

C. Protons + Neutrons = Atomic weight

Explanation:

The total weight of an atom is called the atomic weight. It is approximately equal to the number of protons and neutrons, with a little extra added by the electrons.

In one experiment, the teacher determined that the force on the wire was 2.14 mN
The current in the wire was 0.32 A
The length of wire within the magnetic field was 0.048 m
Calculate the magnetic flux density between the two magnets.
Use the Physics Equations Sheet.
Give your answer to 2 significant figures.

Answers

Answer:

in ine experiment the teacher determined

En un recipiente con mercurio (13.6 gr/cm3) se sumerge completamente un cuerpo de 900 gramos de masa. AL medir su peso aparente este marca 2.94 newton en el dinamómetro. Cual es la densidad del cuerpo (kg/m3)

Answers

Answer:

      ρ = 20.4 kg / m³

Explanation:

For this exercise we use Archimedes' principle, the thrust on a submerged body is equal to the weight of the released liquid

           B = ρ g V_liquid           (1)

let's write the equilibrium equation

           F -W + B = 0

           B = W -F

let's calculate

           B = 0.900 9.8 - 2.94

            B = 5.88 N

From equation 1

            V_{liquid} =  [tex]\frac{B}{\rho_{Hg} g}[/tex]

            V_{liquid} = [tex]\frac{5.88}{13.6 \ 10^3 \ 9.8}[/tex]

            V_{liquid} = 4.41176 10⁻⁵ m³

       

in this case it is indicated that the body is completely submerged

           V_body = V_liquid = V

     the definition of density is

           ρ = m / V

           ρ = [tex]\frac{0.900 \ 10^{-3}}{ 4.41176 \ 10^{-5} }[/tex]

           ρ = 2.04 10¹ kg / m³

           ρ = 20.4 kg / m³

define boiling point

Answers

Answer:

Max. temp. in which water starts boiling....

Explanation:

eg. at 100 degree células.......

A ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?

Answers

Answer:

10.2 metres

Explanation:

Given that a ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?

Solution

To get the maximum height, let us use the formula

V^2 = U^2 sin^2ø - 2gH

At maximum height V = 0

U^2 sin^2ø = 2gH

Substitute all the parameters into the formula

20^2 ( sin 45 )^2 = 2 × 9.8 × H

400 × 0.5 = 19.6 H

Make H the subject of formula

H = 200 / 19.6

H = 10.204 metres.

Therefore, the maximum height reached by the projected ball is 10.2 metres.

Select the correct answer.
Which gravitational force field diagram is drawn correctly?
A.

Answers

B is the correct answer because gravitational pull

Answer:

B is the correct answer

Explanation:

26. How many covalent bonds does water have?
a.1 b.2 c.3 d.4 e.5

Answers

Answer:

(b) 2

Explanation:

A seller on the internet claims to have pieces of a wooden statue that are 2000 years old. You are asked to date the wood to see whether the age is correct. The 20g sample you receive has an activity of 15 counts per second. For living wood. 20g would have an activity of 16 counts per second. Estimate the age of the wood and women’s on weather the sellers claims are true

Answers

Incirjjceincirdjicjr
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