Airline pilots who fly round trips know that their round-trip travel time increases if there is any wind. To see this, suppose that an airliner cruises at speed v relative to the air.
a) For a flight whose one-way distance is d, write an expression for the interval Δtcalm needed for a round trip on a windless day. Ignore any time spent on the ground, and assume that the airliner flies at cruising speed for essentially the whole trip.
b) Now assume there is a wind of speed w. It doesn't matter which way the wind is blowing; all that matters is that it is a head wind in one direction and a tail wind in the opposite direction. Write an expression for the time interval Δtwind needed for a round trip on the day this wind is blowing.

Answers

Answer 1

Airline pilots experience increased round-trip travel time in the presence of wind. The time interval Δtwind needed for a round trip with a wind of speed w can be expressed as:

Δtwind = (d/(v-w)) + (d/(v+w))

In this scenario, airline pilots are flying an airliner that cruises at a speed v relative to the air. When there is a wind of speed w, it acts as a headwind in one direction and a tailwind in the opposite direction. To calculate the time interval needed for a round trip on a day with wind, we must consider the effects of the wind on the airliner's travel time in both directions.

For the first part of the round trip, the wind acts as a headwind, decreasing the effective speed of the airliner to (v-w). Therefore, the time taken to cover the distance d in this direction is d/(v-w).

For the second part of the round trip, the wind acts as a tailwind, increasing the effective speed of the airliner to (v+w). In this case, the time taken to cover the distance d is d/(v+w).

Adding the time taken for both parts of the round trip gives us the total time interval for the round trip with wind, which is Δtwind = (d/(v-w)) + (d/(v+w)).

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Related Questions

Will the gravitational force between 2 objects increase or decrease if the distance between them decreases.

Answers

Answer:

increase

Explanation:

The formula for the gravitation for of attraction is:

[tex]F = \dfrac{Gm_1m_2}{r^2}[/tex]

It implies that the force of attraction is inversely proportional to the square of the distance. i.e.

[tex]F \infty \dfrac{1}{r^2}[/tex]

where;

G = gravitational constant

m = mass; &

r = distance between the two objects.

Now let's assume that the distance between is reduced from 1 to half;

Then:

[tex]F \infty \dfrac{1}{\Big (\dfrac{r}{2} \Big)^2}[/tex]

[tex]F \infty \dfrac{4}{r^2}[/tex]

Thus, the new gravitational force of attraction increased by a factor of 4.

The model shows eight positions of the moon around Earth during the
lunar cycle.
In which positions would a first
quarter moon and last quarter moon
appear to an observer on Earth?
Lunar Cycle
1
Sunlight
First quarter: position 1
Last quarter: position 5
N
8
B
First quarter: position 2
Last quarter: position 6
First quarter: position 3
Last quarter: position 7
اليا
3
CM

Answers

Answer: 1-5 so A

Explanation:

if u just look at a diagram of like the moons it says that

The moon changes shape every day the changes in their shape are defined as the moon phase. In positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.

What is the moon phase?

The moon changes shape every day. This is due to the fact that the celestial body has no light of its own and can only reflect sunlight.

Only the side of the moon facing the sun can reflect this light and seem bright. On the opposite side appears black is a full moon.

We can only see the black section when it lies between the sun and the earth when a new moon occurs. We witness intermediate phases like a half-moon and crescent in between these two extremes.

The moon changes shape every day the changes in their shape are defined as the moon phase.

In general, we may estimate the third by knowing any two of the following three things

(1) the moon's position in the sky

(2) the moon phase

(3) the time

Hence in positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.

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An 18kg block moving at 6 m/s has kinetic energy of

Answers

½ × 18 × 6² = 324 J

hope that helps^^

Explain in detail how clouds form.

Answers

Answer:

Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.

Round off to the nearest one (units place):
(a) 57.326 57.000
(b) 8.808
(c) 290.752
(d) 1394.301
(e) 434.28​

Answers

Answer:

a

Explanation:

Answer:

(a) 57

(b) 9

(c) 291

(d) 1394

(e) 434

What is linear expansivity?​will receive brainliest if answered correctly​

Answers

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. If a specimen increases in length from l1 to l2 when its temperature is raised θ°, then the expansivity (α) is given by: l2 = l1(1 + αθ). This relationship assumes that α is independent of temperature. This is not, in general, the case and a more accurate relationship is: l2 = l1(1 + aθ + bθ2 + cθ3…), where a, b, and c are constants.

l2 = l1(1 + αθ).

l2 = l1(1 + aθ + bθ2 + cθ3…),

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. ... Superficial expansivity is the fractional increase in area of a solid surface caused by unit rise in temperature, i.e. A2 = A1(1 + βθ), where β is the superficial expansivity.

I hope it's helpful!

Which option correctly matches the chemical formula of a compound with its name?​

Answers

Answer:

d

Explanation:

the correct chemical formula of a compound with its name is NO₂, Nitrogen Dioxide, the correct option is D.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom

The correct chemical formula for nitrogen Dioxide is NO₂

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4.) The diagram to the right is the orbit of a comet:
A) Label the two focal points
B) Label the Perihelion
C) Label the Aphelion

Answers

Answer: This is what I found hope it helps

Explanation:

A car drives 40 km due east and then 50 km due west .what is the cars overall displacement?

Answers

Answer:10 km westExplanation:he go 40 east then 50 west 50-40 is 10 so he displaces 10 km and as west is more than east in terms of km so we will say that it's 10 km west pls mark as brainliest thanks

The car's overall displacement if, A car drives 40 km due east and then 50 km due west is 10 km in the west.

What is displacement?

Displacement is defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into account both the direction of the motion and the magnitude of the changing position. Displacement may be zero, positive, or negative.

Given:

A car drives 40 km due east and then 50 km due west,

Consider the west direction as positive and the east direction as negative, then,

The displacement = Displacement in the west + displacement in the east,

The displacement = 50 - 40

The displacement = 10

As the sign is positive, then the direction would be west.

Thus, the displacement of the car is +10 km.

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Anyone knows this ???

Answers

Answer:

JUST A MINUTE KAPENG MAINIT

What does attributed mean

Answers

Answer:

attribute is defined as a quality or characteristic of a person, place, or thing

Explanation:

Answer:

regard something as being caused by (someone or something).

Explanation:

Online dictionary

b) Include this table on your slide:
Mass of Object 1 Mass of Object 2 (kg)
(kg)
Gravitational Force
(N)
1 x 1020
1 x 1020
1 x 1040 G
3 x 1020
1 x 1020
3 x 100 G
2 x 1020
2 x 1020
4 x 10"G
20
3 x 1020
4 x 10
12 x 10 G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them. Be sure to:
Describe the scenario.
Explain the table headings to introduce the data in the table.
Use the data to show a trend.
Summarize the information from the table in a sentence, showing the relationship between
the masses of objects and the gravitational force between the objects.
d) Place text in the notes section below the slide explaining the information presented on it. This text
will act as the script for your presentation.
e) Remember to save your work.

Answers

Answer:

hryrbrhrururjrn djbrr he dvhd the ry rhr

urur

Explanation:

jrurhr dye dhrb the yd rhd due sh dgd eye rh

Answer:

I dont know i was looking for the same answer for my project

Explanation:

Which element has the same number of valence electrons as rubidium.
A. lithium
B. argon
C. calcium
D.iron

Answers

To know if elements have the same number of valence electrons you can look at what group they are in on the periodic table. Rubidium (Rb) is in group one which means it will have the same number on valence electrons as Lithium (Li) because Lithium is also in group one on the periodic table. I hope this helps!!

20.Two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

Answers

Answer:

A

Explanation:

Given that two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

The formula for kinetic energy is :

K.E = 1/2mv^2

A 2-kg ball moving at 4m/s will have kinetic energy of 1/2 × 2 × 4^2

K.E = 16J

and a 4-kg ball moving at 2m/s will have kinetic energy of 1/2 × 4 × 2^2

K.E = 2 × 4

K.E = 8J

which one has greater kinetic energy? Definitely it is a 2 kg ball moving at 4 m/s. Since 16J is greater than 8J. The correct answer is A.

The energy which we obtained from the moving particle is called kinetic energy.  According to the conservation of energy, the energy can neither be created nor be destroyed.

Hence, the formula used in the question is:- [tex]K.E =\frac{1}{2} mv^{2}[/tex] .

A 2-kg ball moving at 4m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 2*4^{2} = 16J[/tex]  

Therefore, the kinetic energy of the ball moving the 2kg is 16J.

A 4-kg ball moving at 2m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 4*2^{2} = 8J[/tex]

Hence the Kinetic energy of the ball moving the 4 kg is 8J.

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Which model would best demonstrate the role of gravity in the Solar System? O A. a large ball with 8 smaller balls arranged around it because gravity is between the sun and 8 planets O B. a magnet drawn close to another magnet because planets are dbvn towards the magnetism of the Sun O c. a football field with a pea at one end and a grain of sand at the other because the scale of gravity is large O D. a ball attached to a string moving in a circular motion because the string keeps the ball in place like gravity​

Answers

Option D would be the correct answer

A 98N weight is lifted to a height of 4m. What is its potential energy at this position?

Answers

Answer:

i need points

Explanation:

A crate is sliding on the floor. If there is a total force acting on the crate in the same direction as it is sliding, the crate would
A) slow down
B) speed up
C) remains the same speed
​​​​​​​ D) slow down, change direction and then speed up going the other way,
E) remains the same speed but changes direction

Answers

But we do not know whether the force is pushing or pulling (the same direction (both forces are parallel) but: .........[ ]<-F-- or .......[ ]--F-->). I suppose the correct answer is B

Un automóvil viajó 186.4 Km a una velocidad constante de 57 Km/h. ¿Cuánto tiempo se necesitó para el viaje?

Answers

Answer:

  t = 1.177 10⁴ s

Explanation:

For this exercise we use the uniform motion relationships

         v = x / t

         t = x / v

let's reduce the magnitudes to the SI system

          v = 57 km / h (1000m / 1km) (1h / 3600s) = 15.833 m / s

          x = 186.4 km (1000m / 1 km) = 186.4 10³ m

let's calculate

         t = 186.4 10³ / 15.833

         t = 11.77 10³ s

         t = 1.177 10⁴ s

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

[tex]R=5.2\ \Omega[/tex]

Explanation:

In series combination, the equivalent resistance is given by :

[tex]R_{eq}=R_1+R_2+R_3+...[/tex]

Let the identical resistors be R. We have, [tex]R_{eq}=15.6\ \Omega[/tex]

So,

[tex]R+R+R=15.6\\\\3R=15.6\\\\R=\dfrac{15.6}{3}\\\\R=5.2\ \Omega[/tex]

So, the resistance of each resistor is [tex]5.2\ \Omega[/tex].

Why do we have two colors of arrows on the map?​

Answers

Answer:

To differentiate the two concepts each colour represents (perhaps)

Explanation:

Where is the map?

Answer:

such as green representing forested land and blue representing waterways.

if the charge of the force is doubled would the force double

Answers

Answer: The electrostatic force between two point charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. So, if you double the individual charges while keeping the same distance, the net electrostatic force will be four times the previous value.

Explanation:

Since, we know

F = (k×q1×q2)/r²

When the charges are doubled, we have :

F' = (k × 2q1 × 2q2)/r²

F' = 4 (k×q1×q2)/r²

Thus,

F' = 4F

Hence, the force becomes 4 times its initial value.

ordinary kriging method assume that​

Answers

ears

Explanation:

I want to eat your ears

An object completes 2500 cycles in
26s. The radius of motion is 3.5m.

Answers

Answer:

That statement is correct.

Explanation:

An object that completes 2500 cycles in 26 seconds has a radius of motion of 3.5.

A rubber stopper, which has a mass of m = 14.5 grams, is tied to the end of a string which is threaded through a glass tube. You then spin the rubber stopper about your head in a horizontal circle as shown to the right. The stopper sags  = 18.0o below the horizontal as shown and the distance from the top of the tube to the stopper is L = 1.25 m.
b. What will be the magnitude of the centripetal force acting on the stopper?
c. What is the speed of the stopper?
d. What is the tension in the string?
e. How much Mass M is hanging on the end of the string?

Answers

Answer:

T cos18=mv^2/1.25cos18

T sin18=mg

solve for T

centripetal force-=Tcos18

please say something i dk which one

Answers

The answer is C!!!!!!!

Identify the phase and division I or II for the following:
Metaphase II
Metaphase I
Telophase II
Cytokinesis

Answers

Answer:

Metaphase II

Explanation:

Metaphase II is the division of two daughter cells and is when sister chromatids line up in the middle of the cell.  This is what appears to be happening in the image.  Additionally, you can see that the chromosomes have already crossed over.  

Metaphase I only involves 1 cell, not 2 daughter cells.

Telophase II and Cytokinesis are when the cell splits.  Also, Telophase II would result in 4 daughter cells, not just 2.  

A student swings a 5.0 Kg pail of water in a vertical circle of radius 1.3m. What is the minimum speed at the top of the circle if the water is not to spill from pail.

Answers

Answer:

v = 3.57 m / s

Explanation:

Let's use Newton's second law in the upper part of the circle, with the minimum speed so that the water does not rest on the circle, that is, the normal is zero

          W = m a

   

acceleration is centripetal

          a = v² / r

let's substitute

         mg = m v² / r

         v = [tex]\sqrt{r g }[/tex]

let's calculate

        v = [tex]\sqrt{1.3 \ 9.8}[/tex]ra 1.3 9.8

        v = 3.57 m / s

Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation

Answers

Answer:

Asking a question

Research existing sources

Define an hypothesis

Design and conduct a study

Draw conclusion

Report result.

Explanation:

Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;

Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.

The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.

To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.

Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.

Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.

emergency plsss is copper stronger than bricks or that's all the way the opposite pls write ur answer clearly n' I will give 15 points and mark brainliest who answers first so hurry up

Answers

copper is stronger than bricks!

A vehicle of mass 3200kg moving with a velocity of 10m/s increases it's velocity to 20m/s in 5 sec. calculate the magnitude of the force exerted on the engine​

Answers

Answer:

xitxutdtidtiittieitetdtdt

Answer:

Please find the attached file

Explanation:

Other Questions
schizoid personality disorder case study If f(x) = 3x +3, which of the following is the inverse off(x)? Part B Now that youve started to think more about your topic, its time to write your essay. Use the Process section to help you write a well-structured response to the question youve picked. Process Follow the steps below to complete your essay, and use the links provided to assist with your research and writing. When you have finished your essay, use the drop box to submit it to your teacher. Gather sources. Begin by gathering additional sourceseither online or otherwiseto support the views you present in your essay. For each source, consider these questions: Who authored the document? What is the purpose of the document? When was the document written? What significant historical event or movement does the document represent? Read and evaluate sources. Examine each source and think about how you will use it to support a thesis. Be an active researcher by asking the following questions about each source you reference: What is the credibility of the source? Is there any noticeable bias? How does the author form his or her argument? What important themes, main ideas, and arguments are presented in the document? Write your essay. Refer to your notes and the provided documents to write a short essay. Be careful to keep the following ideas in mind: To avoid plagiarism, make sure to cite your sources properly with in text citations and a works cited page. When you finish, reread the essay to check for all of the points above, and then proofread it to be sure your work doesnt contain errors in grammar or spelling.topic- Why are there laws limiting the freedom of speech? Read the following line from The Turn of the Screw by Henry James. 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The client reports a metallic taste in his mouth while eating. Which of the following actions should the nurse take In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 50 and a standard deviation of 3. using the empirical rule, what is the approximate percentage of daily phone calls numbering between 47 and 53?