(Use the Pythagorean theorem to answer the question.) An airplane takes off going straight west at 340 km/h for 1 hour, then turns and heads south for another hour at 360 km/h before reaching its final destination. What is the airplane's displacement?

Answers

Answer 1
South is perpendicular to West, so the plane's route forms a right triangle, and you can use Good Old Pythagoras to calculate the length of the hypotenuse.

The length of the displacement is   √(the west piece² + the south piece²)   .

That's      √ [ (340km)² + (360km)² ]

           =  √ [ (115,600) km²  +  (129,600) km² ]

           =   √ 245,200 km²

           =     495 km 

To be technical, Displacement is a vector, so we would need to
calculate its direction too.

Naturally, the plane winds up roughly southwest of where it took off.

You'd want to find the angle whose tangent is  (360/340) = about 1.059 .
The direction of the Displacement is that angle south of west. (about 46.6 degrees)
        
Answer 2

Answer:

495km to the southeast is the correct answer.

Explanation:


Related Questions

A 63 kg gymnast climbs 15 m up a vertically hanging rope. He completed the distance in 70 seconds. How much power did his body output to achieve the climb?

Answers

The work required is equal to the potential energy when he's at the top. This is given by 

[tex]E=mgh=63kg \times 9.8 \frac{m}{s^2} \times 15m=9261J[/tex]

The power is this energy divided by the time it took to do the work

[tex]P= \frac{E}{t}= \frac{9261J}{70s} =132.3W[/tex]

Answer:b

Explanation:

hope it helps


You drop a 30 g pebble down a well. You hear a splash 2.7 s later. Ignoring air resistance, how deep is the well? Assume g = 9.8 m/s2.
a- 0.79 m

b- 36 m

c- 71 m

d- 790 m

Answers

I will assume here that the well is sufficiently short so that the time the sound takes to come from the bottom of the well to our ear is negligible.

Since the pebble moves by uniformly accelerated motion, the distance it covers is given by
[tex]S= \frac{1}{2}gt^2 [/tex]
where 
[tex]g=9.81 m/s^2[/tex] is the gravitational acceleration
[tex]t=2.7 s[/tex] is the time the pebble takes to reach the bottom of the well

Therefore, the depth of the well is
[tex]S= \frac{1}{2}(9.81 m/s^2)(2.7 s)^2 = 35.7 m \sim 36 m [/tex]
and the correct answer is B.

The usual motion of the planets against the background of stars is_________ to _____ motion.

Answers

This is the answer➡️ Is faster to orbital motion. Hope it's helpful. Peace✌️

the mass of an electron is ______

Answers

I believe that the answer would be atomic mass.
its around 9.109x10^-31 or 5.489 x10^-4

The Sun has a major impact on climate. This can be seen by comparing _____. the East and West coasts tropical and polar climate zones atmospheric and oceanic circulation the North and South poles

Answers

Tropical and Polar climate zones.

Answer: Option (2)

Explanation: Sun plays a vital role in controlling the earth's climatic condition. Our earth is slightly tilted and the incoming solar radiations are directly incident on the equatorial and the tropical region, due to which it experiences a relatively high temperature.

             But as we move towards the higher latitude, we observe that the temperature frequently drops down. It is because the radiations from the sun needs to travel a longer path through the atmosphere, which gets scattered or absorbed, thereby making it difficult to reach the poles. So the polar regions are cold enough due to less sunlight.

                 Therefore, the earth shows maximum temperature at the equatorial region and minimum temperature at the poles.

which country is bordered by both ecuador and venezuela

A. colombia

B. guyana

C. french giana

D. suriname

Answers

The answer is A.

Columbia is country situated in the northwest of South America. Colombia shares a border to the northwest with Panama, to the east with Venezuela and Brazil and to the south with Ecuador and Peru. Colombian territory also encompasses Pacific coastlines in the west.

the corect answer is a

_____ means to put off exercise.

procrastinate

vigorous activity

physical fitness

skill-related fitness

Answers

The answer is procrastinate.

The clue to the answer is in the question, which is "put-off." The word "put-off," in the context of the sentence means to delay or postpone. Now to delay or to postpone an action is the definition of procrastinate.

Answer: Option (a) is the correct answer.

Explanation:

Meaning of procrastinate is to delay or avoid anything in order to not complete a task.

For example, a student procrastinate's him homework by playing with his friends and cousins.  

Whereas vigorous activity means to do an activity enthusiastically. Physical fitness means to a person who is physically fit.

On the other hand, skill related fitness means to be able to complete a work with perfection. For example, a woman skilled in embroidery makes beautiful designs on cloths using embroidery threads and needle.

Thus, we can conclude that procrastinate means to put off exercise.

Calculate 8 ∙ 10-4 divided by 2 ∙ 102.

Answers

8 * 10 - 4 
= 80 - 4
= 76

2 * 102 = 204

76/204 = 19/51

Hope this helps!

Explanation :

Here, [tex]8\times 10^{-4}[/tex] is numerator and [tex]2\times 10^{2}[/tex] is the denominator.

Two numbers are given i.e.

[tex]n_1=8\times 10^{-4}[/tex]

[tex]n_2=2\times 10^{2}[/tex]

We have to divide these two numbers.

[tex]\dfrac{n_1}{n_2}=\dfrac{8\times 10^{-4}}{2\times 10^{2}}[/tex]

[tex]4\times 10^{-6}[/tex]

Hence, this is the required solution.                  

A/an______is a pure substance made of atoms that are all of the same type

1 proton
2 compound
3isotope
4element

Answers

An element is a pure substance made of atoms that are all of the same type.

Which lists imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst?

A. CT scan, MRI, X-ray imaging

B. X-ray imaging, CT scan, MRI

C.CT scan, X-ray imaging, MRI

D. MRI, X-ray imaging, CT scan

Answers

Answer:

CT scan, X-ray imaging, MRI

Imaging techniques that use wave behaviors in order of resolution from the best resolution to the worst is X-ray imaging, CT scan, MRI. Hence option B is correct.

What is Resolution ?

Image resolution. Image resolution refers to the density of pixels in an image, expressed as Pixels per inch. This shouldn't be confused with image dimension, which is expressed as a measurement of the number of rows and columns of pixels an image contains, such as 640x480.

Screen resolution. Display resolution or screen resolution expresses how many pixels are present in a display or entire screen. A given display will have a maximum resolution that depends on its physical ability to focus light. For example, a 15-inch 640x480 monitor will display approximately 50 dots per inch. A smaller display would have more PPI.

The highest resolution of X-ray is 11–13 nm. In the longitudinal dimension resolution of CT scan is up to 200 μm is achievable. The highest resolution of MRI is 1 millimeter. Hence option with X-ray, CT scan and MRI in order is correct from best to worst resolution.

Hence option B is correct.

To know more about resolution :

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An electron moving through an electric field experiences an acceleration of 6.2 ✕ 103 m/s2. (a) find the electric force acting on the electron.

Answers

force = mass × acceleration
mass of an electron =9.1×10^-31 kg
given acceleration...

find force

Everyday lifestyle choices affect your physical fitness. Please select the best answer from the choices provided. T F

Answers

Answer:
True

Explanation:
Physical fitness is defined as the health state of the body and its ability to carry on with the daily occupation as well as sports.
The everyday lifestyle affects this physical fitness, in case you are not used used to "moving" in your daily life, your body will be sort of lazy and lack the power and ability to carry on with the daily occupation as well as sports.
In case your daily lifestyle involved motion, your body will be used to doing activities which will help improve your physical fitness.

Hope this helps :)

Answer:

Itzz True me childern

Explanation:

A blu-ray disc rotates counterclockwise and speeds up at a constant rate. how does the tangential acceleration of point p compare to the tangential acceleration of point q?

Answers

The figure of the problem is missing.

However, we can solve it this way. First of all, every point of the disk has the same angular acceleration, which is the rate of variation of the angular velocity in time. In fact, the disk rotates coherently, therefore all the points cover the same angle during the same time interval.

Then, the tangential acceleration of a generic point on the disk is related to the angular acceleration [tex]\alpha[/tex] by the following relation:
[tex]a_{tan} = \alpha r[/tex]
where r is the distance of the point from the center of the disk.

Therefore, if we call [tex]r_P[/tex] the distance of point P from the center and [tex]r_Q[/tex] the distance of point Q from the center, we can find the ratio of the tangential accelerations between the two points:
[tex] \frac{a_{tanP}}{a{tanQ}} = \frac{r_P \alpha}{r_Q \alpha} = \frac{r_P}{r_Q} [/tex]

So, the larger is the distance of the point from the center, the larger is the tangential acceleration.

an airplane starts at rest and accelerates down the run way for 20 s. at the end of the run way, its velocity 80 m/s north whats it acceleration??

Answers

acceleration = final velocity / time

acceleration = 80m/s / 20s

acceleration = 4 m/s^2

when preparing an emergency supply kit for a family, which is the minimun number of days the supplies shoulds last

2

3

7

30

Answers

i think seven is correct.

Answer

3 is correct!! THREE days

Explanation:

Trust me!!

A car decelerates at a rate of 3.8 m/s2 for 12 seconds. The car’s initial speed was 65 m/s. What was the car’s final speed?

Answers

For an uniformly accelerated motion, the final velocity is given by:
[tex]v_f = v_i +at[/tex]
where vi is the initial speed, a is the acceleration, and t the time interval.
In our problem, [tex]v_i=65 m/s[/tex], [tex]a=-3.8 m/s^2[/tex] (with negative sign, because the car is decelerating), and [tex]t=12 s[/tex]. Substituting, 
[tex]v_f = 65 m/s+(-3.8 m/s^2)(12 s)=19.4 m/s[/tex]

A box of mass 50 kg is pushed hard enough to set it in motion across a flat surface. Then a 99-N pushing force is needed to keep the box moving at a constant velocity. What is the coefficient of kinetic friction between the box and the floor? 0.23 0.18 0.20

Answers

The box is kept in motion at constant velocity by a force of F=99 N. Constant velocity means there is no acceleration, so the resultant of the forces acting on the box is zero. Apart from the force F pushing the box, there is only another force acting on it in the horizontal direction: the frictional force [tex]F_f[/tex] which acts in the opposite direction of the motion, so in the opposite direction of F.
Therefore, since the resultant of the two forces must be zero,
[tex]F-F_f=0[/tex]
so
[tex]F=F_f[/tex]

The frictional force can be rewritten as
[tex]F_f = \mu m g[/tex]
where [tex]m=50 kg[/tex], [tex]g=9.81 m/s^2[/tex]. Re-arranging, we can solve this equation to find [tex]\mu[/tex], the coefficient of dynamic friction:
[tex]\mu = \frac{F}{mg}= \frac{99 N}{(50 kg)(9.81 m/s^2)} =0.20[/tex]

Mass affects/does not affect the conservation of energy?

Answers

It itself to increased or decrease to total momentum at any moment it will be same.

April stands on a flat surface. If she has a mass of 72 kg, what is the normal force acting on her?

Answers

IF she is on or near the surface of Earth at the time, then ...

... Her WEIGHT is  (mass) (gravity) = (72 kg) (9.8 m/s²) = 705.6 Newtons

... The surface under her feet exerts a normal force, upward,
against her feet.

... If the upward normal force is NOT 705.6 Newtons, then the
NET force on the bottom of her feet is not zero, and her feet are
accelerating, either up or down.

... But she is just standing there, not accelerating either up or down.

... Therefore, the NET force on the bottom of her feet must be zero.

... The normal force acting upward against her feet must be exactly
equal to her weight ... 705.6 Newtons.

Answer: 706

Explanation:

Why does the sample on a microscope slide need to be very thin?

A. so it can fit on the stage of the microscope

B. so light can shine through it from below

C. so it can be seen with a diverging lens

D. so the eyepiece lens can be focused properly

Answers

B. so light can shine through it from below.

The sample on a microscope slide need to be very thin because light can shine through it from below.

What are the term thin of microscope?

Histology has to do with the study of tissues. Sectioning has to do with cutting very thin slices of objects.

Thus, histological sectioning is an act of cutting very thin slices of tissues for the purpose of mounting such on microscope slides. To enhance views and differentiate different parts of cells, sections of tissues are often stained.

For anything to be seen it must either emit light or reflect light. When you look at the functioning of a microscope you will notice that when you put specimen under the microscope, you need an external light source to illuminate the specimen. For this purpose a light source is placed right under the specimen holder.

For the specimen to be visible clearly the slide is made transparent so that it is backlight by the light and easily visible in the microscope.

Hence, Option B is the correct answer.

Learn more about the microscope,

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What is the current maximum storage capacity limit of a magnetic tape?
a. 300tb
b. 500gb
c. 185tb
d. 15tb?

Answers

it would be option b

Consider a situation where you are playing air hockey with a friend. The table shoots small streams of air upward to keep the puck afloat and to reduce friction. The puck moves horizontally due to

Answers

Final answer:

The puck moves horizontally in air hockey due to Newton's first law of motion, which states that an object in motion stays in motion unless acted upon by an external force. The streams of air shooting upward on the table minimize friction and keep the puck afloat.

Explanation:

The puck moves horizontally in the game of air hockey due to Newton's first law of motion, also known as the law of inertia. According to this law, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction, unless acted upon by an external force.

When the air is on in the air hockey table, it reduces the friction between the puck and the table, allowing the puck to glide smoothly across the surface. The small streams of air shooting upward help keep the puck afloat and minimize contact with the table.

The downward weight or gravitational force acting on the puck does not affect its horizontal motion because it is balanced by the normal force exerted by the table.

Learn more about Newton's First Law of Motion here:

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If v = 4.00 meters/second and makes an angle of 60° with the positive direction of the y–axis, what is the magnitude of vx?

Answers

This velocity vector could then be pointing up and to the right or up and to the  left.  Since we only want the magnitude of the x-axis velocity, it doesn't matter.  In any case if there is a 60° angle from the y-axis means the sin of the angle gives the x-component.  (Typically the angle is given with respect to the x-axis in which the sin gives the y-component)
For this case
[tex]v_x=4sin(60)\frac{m}{s}=3.464 \frac{m}{s} [/tex]
3.46 m/s I just answered this question on a test I hope this helps :)

Which of the following would double the amount of current flowing through a piece of metal wire?

Answers

Considering the answers.
1. Halve the voltage across it
2. Quarter the voltage across it
3. Double the voltage across it
4. Quadruple the voltage across

The appropriate answer would be 3. Double the voltage. According to ohms law the current through a conductor between two points is directly proportional to the voltage across the two points at a constant resistance. Therefore a increase in voltage causes a corresponding increase in the current.

Which component of earth's motion causes the stars to rise earlier on successive nights?

Answers

There is just one component that makes the stars rise earlier on seccessive nights, this component is its's orbit around the sun. Hope it was helpful.
Peace✌️

What is the function of the lens of an eye

Answers

The lens changes the focal distance of the eye so that you can focus on images/objects. 

Answer:

The lens is located in the eye. By changing its shape/curvature, the lens changes the focal distance of the eye. In other words, it focuses the light rays by changing its curvature and let light pass through it in order to create clear images of objects . It also works together with the cornea to refract, or bend, light.

A positively charged ion will bond with
A) a negatively charged ion.
Eliminate
B) a neutral atom.
C) another positively charged ion.
D) nothing else.

Answers

Answer: A

 A positively charged ion will bond with negatively charged ion. This interaction is called ionic bonds, where ions can form a compound. However, not all compounds are ionic, but each elements on the periodic table is capable of forming an ion. Atoms form ions when they either take up or release electrons in order to fill their outer shell. Positive ions are called cations that are typically metals like copper or sodium. Meanwhile, negatively charged ions are anions, made from nonmetallic elements like oxygen and sulfur.

The answer is A

Hope that helps. =)

When a battery is connected to a lightbulb properly, current flows through the lightbulb and makes it glow.

How much current flows through the battery compared with the lightbulb?

More.
Less.
The same amount.
No current flows through the battery.

Answers

Answer: The same amount.  
In a single loop, the current is the same at each point in the loop.

A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.

What is the distance of the image from the lens? Round your answer to three significant figures. ____ cm
What is the height of the image? Round your answer to three significant figures? ____ cm

Answers

Answer:

Image distance, v = 22.5 cm

Height of the image, h' = 6.5 cm

Explanation:

It is given that,

Height of the object, h = 5 cm

Object distance, u = -18 cm

Focal length of the lens, f = +10 cm

Using mirror's formula :

[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{(-18)}[/tex]

v = 22.5 cm

Magnification of the lens :

[tex]m=\dfrac{v}{u}=\dfrac{h'}{h}[/tex]

[tex]h'=\dfrac{v}{u}h[/tex]

[tex]h'=\dfrac{22.5\ cm}{-18\ cm}\times 5[/tex]

h' = -6.5 cm

Hence, this is the required solution.

Answer:

22.5  and 6.25

Explanation:

All waves on the electromagnetic spectrum travel at the same speed in a vacuum. The speed of these waves in a vacuum is 3x10 8 m/s. As the wavelength of a wave doubles, how does the speed and frequency of the wave change?

Answers

Final answer:

When the wavelength of a wave doubles, its speed remains the same, while its frequency halves.

Explanation:

According to the information provided, all waves on the electromagnetic spectrum travel at the same speed in a vacuum, which is the speed of light, approximately 3 × 108 m/s. When the wavelength of a wave doubles, its frequency halves while its speed remains the same. This is because the product of the wavelength and frequency of a wave is equal to the speed of the wave, which is a constant in a given medium.

For example, if we have an electromagnetic wave with a wavelength of 2 meters and a frequency of 150 MHz (1 MHz = 106 Hz), its speed would be (2 m)(150 × 106 Hz) = 3 × 108 m/s. If the wavelength doubles to 4 meters, the frequency would halve to 75 MHz, but the speed would remain 3 × 108 m/s.

In summary, as the wavelength of a wave doubles, its speed remains the same, while its frequency halves.

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The picture below shows two galaxies.Which of these statements best describes a similarity between the two galaxies? (2 points)Both have spiral arms.Both revolve around a single point.Both are formed by gravitational forces.Both change their shape from time to time between which two consecutive whole numbers is [tex] \sqrt{46} [/tex] The Persian war still set the conditions for the peloponnesian war because According to the minneapolis, minnesota, study, of the top 10 locations police were called, half were ____. bus depots bars or places alcohol was served malls vacant houses Which best describes how the agriculture revolution has affected modern society Immediately after gastrulation: 1. The embryo forms a blastula 2. Sperm travel to the oviduct 3.The body axis of the embryo appears 4.The fetus circulatory system begins to mature The number of cents per kilometer it costs to drive a car depends on how fast you drive it. At low speeds the cost is high because the engine operates inefficiently. At high speeds the cost is high because the engine must overcome high wind resistance. At moderate speeds the cost reaches a minimum. Assume that the number of cents per kilometer varies quadratically with the number of kilometers per hour.A) Suppose that it costs 28,21, and 16 cents per kilometer to drive at 10,20,and 30 kph,respectively. Write the particular function to represent this situation.B)How much would it cost to drive at 150 kph? C) Between what two speeds must you drive to keep your cost at no more than 13 cents per kilometer? C)Is it possible to spend only 10 cents per kilometer? D) What is the optimum speed and how much per kilometer will it cost? What part of the function represents this function? All living things are made of one or more cells. Here are two types of cells: an animal cell and a plant cell. Sometimes when plants are under water stress, they wilt. Animals do not wilt! What analogy based on the plant cell structure explains wilting? A)The chloroplast are like a factory. When the plant is water stressed, the chloroplast stops producing energy and the plant wilts. B)The cell wall is like a cardboard box. When the plant is water stressed, the cell wall folds, like someone crushing the cardboard box. C)The large vacuole is like a water-filled balloon. When the plant is water stressed, the water leaves the vacuole and the plant cells start to shrink. D)The plasma membrane is like the drain in your sink. When the plant is water stressed, the plasma membrane stops water from entering the cell and the plant starts to wilt. what construct is intended for use in processing a list of objects, such as files, directories, users, printers, and so on? what was the purpose of passing the Neutrality Act of 1935 _______ sees individuals as enacting culturally fashioned scripts and socially prescribed roles in front of others. Corrections are the sanctions used to punish criminals. name the four sanctions and describe what they are. Henrietta gets a phone call that she is going to be laid off from her job. henrietta is scared and shocked. in response to this stressor, her pituitary gland has received a signal from her hypothalamus to release a hormone called: a doghouse has a mass of 98 kg, and the coefficient of friction between it and the ground is 0.95. what is the maximum force of friction between the doghouse and the ground? Explain, in detail, how you convert grams of one substance to grams of something else. Be specific and include each step. In his pursuit of beautifying the city of bayblon, nebuchadnezzar ii built the ____ as one of the main entrances to the city. True or False 68oz < 4lb 6oz Type the domain and range values for the corresponding variables that make these relations inverses of each other. a = b = c = d = e = Which description is correct for the polynomial 4x +3x +5?cubic binomialcubic trinomialquartic monomialquadratic trinomial There are 100 books in the library. There are non-fiction and fiction books. Write the fraction of the books that are fiction.