What minimum speed must the block have at the base of the 70 m hill to pass over the pit at the far (right-hand) side of that hill and reach the other side (at a 50 m level)

Answers

Answer 1

Answer:

initial velocity is v = 4.95 m / s

Explanation:

To solve this exercise we use the projectile launch ratios, when the block leaves the hill its speed is horizontal, let's find the time it takes to fall to the other point.

Initial vertical velocity is zero

          y = y₀ + v_{oy} t - ½ g t²

          y-y₀ = 0 -1/2 g t²

          t = [tex]\sqrt{ \frac{ 2(y_o -y)}{g} }[/tex]

calculate

          t = [tex]\sqrt{ \frac{2 ( 70-50)}{9.8} }[/tex]

          t = 2.02 s

with this time we can substitute in the horizontal displacement equation

          x = v₀ₓ t

          v₀ₓ = x / t

suppose that the distance between the two points is x = 10 m

          v₀ₓ = 10 / 2.02

          v₀ₓ = 4.95 m / s

initial velocity is v = 4.95 m / s


Related Questions

A 0.55 kg projectile is launched from the edge of a cliff with an initial kinetic energy of 1550 J and at its highest point is 140 m above the launch point. (a) Calculate the horizontal component of its velocity. (b) Calculate the vertical component of its velocity just after launch. (c) At one instant during its flight the vertical component of its velocity is found to be 65 m/s. At that time, how far is it above or below the launch point

Answers

Answer:

a). 53.78 m/s

b) 52.38 m/s

c) -75.58 m

Explanation:

See attachment for calculation

In the c part, The negative distance is telling us that the project went below the lunch point.

· A wave with a frequency of 10 Hz and wavelength of 12m has what speed?

Answers

The velocity would be 120 Metres Per second
Velocity ( Speed ) = Frequency X Wavelength
10 X 12 = 120

Activities:
1. Name the instrument that is used to measure Air Pressure.
2.Explain what is Cyclone and Anticyclone

Answers

Answer: barometer.

A cyclone is a storm or system of winds that rotates around a center of low atmospheric pressure. An anticyclone is a system of winds that rotates around a center of high atmospheric pressure.

What is your hypothesis (or hypotheses) for this experiment?

(about Thermal Energy Transfer)

Answers

Answer:

I hypothesis that the motion involving the balls in the experiment were moving to create data.

Explanation:

I hope this helps!

Car X is travelling at 30m/s north. Its driver looks at car Y approaching on another road and he estimates it is moving at 15m/s south-west relative to his car. Calculate the velocity of car Y relative to the ground.

Answers

Answer: 22.1 m/s

Explanation:

The velocity of Car traveling 30 m/s towards the north

In vector form it is

[tex]v_x=30\hat{j}[/tex]

The velocity of car Y w.r.t X is

[tex]\Rightarrow v_{yx}=15[-\cos 45^{\circ}\hat{i}-\sin 45^{\circ}\hat{j}][/tex]

Solving this

[tex]\Rightarrow v_{yx}=v_y-v_x\\\Rightarrow v_y=v_{yx}+v_x[/tex]

putting values

[tex]\Rightarrow v_y=15[-\cos 45^{\circ}\hat{i}-\sin 45^{\circ}\hat{j}]+30\hat{j}[/tex]

[tex]\Rightarrow v_y=-10.606\hat{i}+19.39\hat{j}[/tex]

absolute velocity relative to ground is

[tex]\left | v_y\right |=\sqrt{(-10.606)^2+(19.39)^2}\\\left | v_y\right |=22.101\ m/s[/tex]

Suppose you are watching an ice-hockey game with some classmates. As the puck is sliding across the ice at a relatively constant speed, it passes close to a player, who hits it (with his stick) in the same direction as it is already moving. After the hit, you notice that the puck is moving much faster than it was before the hit. Your classmates propose the following three explanations for why the puck is moving faster after the hit than before. Whose reasoning do you agree with?
Student A: "The force of the stick was transferred to the puck during the hit. After the hit, the puck has more force, so it moves faster."
Student B: "The puck still has the force that started it moving, which is what keeps it moving at a constant speed. When the player hit it, he adds to this force, which makes the speed of the puck increase. After the hit, this extra force is gone, so the puck stops increasing its speed, but the original force is still there so now it moves at a faster constant speed."
Student C: "While the stick is in contact, it applies a force to the puck that makes its speed increase. As soon is contact is lost, this force disappears, so the speed of the puck stops increasing."

Answers

Answer:

the answer, the correct one is C

Explanation:

Let's propose the solution of this problem to know which explanation is correct, when the concha stick with the disc is an impulse exercise

                 

             I = ΔP

            ∫ F dt = pf-po

             ∫ F dt = m v_f - m v₀

Therefore, during the time that the contact lasts, a force is applied to the disk, which causes that if the amount of movement increases and therefore its speed increases, when the constant ceases the forces are reduced to zero and the disk no longer changes its momentum following with constant velocity.

When reviewing the answer, the correct one is C

A ball is dropped off the side of a bridge,
After 1.55 S, how far has it fallen?
(Unit=m)

Answers

Answer:

Distance S = 11.77 m (Approx.)

Explanation:

Given:

Time t = 1.55 Second

Gravity acceleration = 9.8 m/s²

Find:

Distance S

Computation:

S = ut + (1/2)(g)(t)²

S = (0)(1.55) + (1/2)(9.8)(1.55)²

S = (0)(1.55) + (1/2)(9.8)(1.55)²

Distance S = 11.77 m (Approx.)

Match the following:​

Answers

iron metal :chromium

machinery part :nickel or chromium

ornamentation and decoration pieces :silver and gold

processed food :tin coated iron can

bridges and automobiles :zinc metal

distilled water:bad conductor

Answer:

iron metal :chromium

machinery part :nickel or chromium

ornamentation and decoration pieces :silver and gold

processed food :tin coated iron can

bridges and automobiles :zinc metal

distilled water:bad conductor

Explanation:

A square wave has amplitude 0 V for the low voltage and 4 V for the high voltage. Calculate the average voltage by integrating over one period of the waveform. Hint: the equation for a square wave will be a piecewise function and it will be convenient to start the integration where the voltage changes; for example in this problem we could define that during the first half of the period the voltage is 0 V and for the second half of the period the voltage is 4 V

Answers

Answer:

V_{average} = [tex]\frac{1}{2} V_o[/tex]  ,     V_{average} = 2 V

Explanation:

he average or effective voltage of a wave is the value of the wave in a period

            V_average = ∫ V dt

in this case the given volage is a square wave that can be described by the function

           V (t) = [tex]\left \{ {{V=V_o \ \ \ t< \tau /2} \atop {V=0 \ \ \ \ t> \tau /2 } } \right.[/tex]

to substitute in the equation let us separate the into two pairs

             V_average = [tex]\int\limits^{1/2}_0 {V_o} \, dt + \int\limits^1_{1/2} {0} \, dt[/tex]

             V_average = [tex]V_o \ \int\limits^{1/2}_0 {} \, dt[/tex]

             V_{average} = [tex]\frac{1}{2} V_o[/tex]

we evaluate  V₀ = 4 V

             V_{average} = 4 / 2)

             V_{average} = 2 V

You have a hand-crank generator with a 100-turn coil (each turn having an area of 0.0350 m2), which can spin through a uniform magnetic field that has a magnitude of 0.0500 T. You can turn the crank at a maximum rate of 3 turns per second, but the hand crank is connected to the coil through a set of gears that makes the coil spin at a rate 6 times larger than the rate at which you turn the crank. What is the maximum emf you can expect to get out of this generator

Answers

Answer:

Explanation:

Maximum emf produced = nωAB. where n is no of turns , A is area , B is magnetic field and ω is angular velocity .

n = 100 , A = .035 m²

B = .05 T

ω = 2π f , f is no of revolution per second by coil

= 2 x 3.14 x 6 x 3

= 113.04 rad /s

Maximum emf produced = 100 x 113.04 x .035 x .05

= 19.78  volt .

g Consider a beach ball bobbing up and down in the center of a swimming pool. Imagine that the ball remains at the same position at the center of the pool. The illustration below shows several consecutive wave crests at one instant of time. Suppose that observer A is moving toward the source and observer B is moving away from the source. Discuss with your group: does A or B observe higher frequency water wave vibrations, or do they observe the same frequency vibrations

Answers

Answer:

For the observer approaching the source, the frequency increases

for the observer who moves away from the source the frequency decreases

Explanation:

This is an example of relative movement between the waves and the observer, let's first examine the observer A, they tell us that it is approaching the wave source (ball).

For waves there is a relationship between their speed, wavelength and frequency

          v = λ f

the observed frequency if the relative velocity is zero

          f₀ = v /λ₀

in this case the observer is approaching the source therefore the velocity is

         v ’= v₀ + u

where u is the velocity of the observer

as the emission source remains fixed the wavelength does not change

         v’= λ₀ f’

         f ’= v’ /λ₀

         f ’= [tex]\frac{v+u}{\lambda_o }[/tex]

       

we substitute the value of the wavelength

         λ₀ = v / fo

         f’= [tex]\frac{v+u}{v} \ f_o[/tex]

         

we can see that the frequency increases

for the case of observer B moving away from the source the relative velocity is

          v ’= v-u

by substituting in the equation

          f ’= v’ /λ₀

          f ’= [tex]\frac{v-u}{\lambda_o}[/tex]v-u / lam

          f ’= [tex]\frac{v-u}{v} \ f_o[/tex]

in this case the frequency decreases

In conclusion:

For the observer approaching the source, the frequency increases

for the observer who moves away from the source the frequency decreases

The observer A who is moving towards the source observe higher frequency water wave vibrations than the observer B.

What is frequency?

Frequency of wave is the number of waves, which is passed thorough a particular point at a unit time. It can be given as,

[tex]f=\dfrac{v}{\lambda}[/tex]

Here, (λ) is the wavelength of the wave and (v) is the speed of the wave.

The beach ball bobbing up and down in the center of a swimming pool. The ball remains at the same position at the center of the pool.

The observer A is moving toward the source. The frequency received by A will be,

[tex]f'=f_o\left(\dfrac{v+u}{v}\right)[/tex]

Here, [tex]f_o[/tex] is the natural sound source, u is the velocity of the observer and v is the velocity of sound propagation.

The observer B is moving away from the source. The frequency received by A will be,

[tex]f"=f_o\left(\dfrac{v-u}{v}\right)[/tex]

In this case the frequency of the observer who is approaching to the source will be increases and the frequency of the observer who is leaving the source will be decreases.

Thus, the observer A who is moving towards the source observe higher frequency water wave vibrations than the observer B.

Learn more about the frequency here;

https://brainly.com/question/1436295

If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

Answers

My Response:

If the mass of an object increases, then its kinetic energy will increase proportionally because mass and kinetic energy have a linear relationship when graphed.

Sample Response:

If the speed of an object increases, then its kinetic energy will increase proportionally because speed and kinetic energy have a linear relationship when graphed.

In 1656, the Burgmeister (mayor) of the town of Magdeburg, Germany, Otto Von Guericke, carried out a dramatic demonstration of the effect resulting from evacuating air from a container. It is the basis for this problem. Two steel hemispheres of radius 0.380 m (1.25 feet) with a rubber seal in between are placed together and air pumped out so that the pressure inside is 17.00 millibar. The atmospheric pressure outside is 950 millibar. Calculate the force required to pull the two hemispheres apart.

Answers

Answer:

F = 42325.17 N

Explanation:

We are given;

Radius of hemispheres; r = 0.38 m

Inner pressure; P_i = 17 milli bar

Outside Pressure; P_o = 950 milli bar

Now, net pressure; P_net = P_o - P_i

P_net = 950 - 17

P_net = 933 milli bar

From conversion rates, we know that;

1 milli bar = 100 N/m²

Thus;

P_net = 933 × 100

P_net = 93300 N/m²

Surface Area of hemisphere; A = πr²

A = π × 0.38²

Now, formula for pressure is;

P = F/A

Where F is force.

Thus making F the subject;

F = P × A

Plug in P_net and A to get;

F = 93300 × π × 0.38²

F = 42325.17 N

The Sun is divided into three regions.
True оr False?

Answers

Answer:

false I think

Explanation:

hope that help

so it's not divided in 3 regions

HURRYYYYY, FASTTT, HELPPP What is the consequence of atoms being a singular closed system?


Atoms of a certain element contain a fixed amount of energy.


Atoms of a certain element can’t be altered by outside forces.


Atoms don’t interact with each other in any way.


Atoms decompose slowly over time as they lose energy.


1

Answers

Answer:

Atoms of a certain element contain a fixed amount of energy.

Explanation:

An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such defines the structure of a chemical element.

Generally, these atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.

Additionally, all the physical properties of a mineral result from the mineral's internal arrangement of atoms.

The consequence of atoms being a singular closed system is that atoms of a certain element contain a fixed amount of energy because the number of protons, neutrons and electrons are in a fixed proportion.

2.Test the age of your eyes. a.Hold a pencil or ballpoint pen vertically at arm's length. b.Close your left eye and focus on the tip. c.Quickly bring the pencil closer to your eye until it is out of focus. d.Have your partner measure the distance between your eye and the pencil. e.Repeat for both eyes. f.Try it with and without glasses (if you wear glasses). Age of your Eyes Cm91013185083

Answers

Answer:

See Explanation

Explanation:

Given

Steps: a - f

Table

[tex]\begin{array}{ccccccc}{cm} & {9} & {10} & {13} & {18} & {50} & {83} \ \\ {Age} & {10} & {20} & {30} & {40} & {50} & {60} \ \end{array}[/tex]

Note that: The question is a practical question and the result may differ base on individuals and environment.

So, I will pick up the question from how to determine the age of the eye after the distance between the eyes and the pencil has been established

In my case, the measurement is:

[tex]Length= 10.4[/tex]

Approximate

[tex]Length= 10[/tex]

From the above table, the corresponding age to 10cm is:

[tex]Age = 20cm[/tex]

If in your measurement, the length is approximately (for example):

[tex]Length = 9cm[/tex]

The age will be:

[tex]Age = 10[/tex]

Jim and Sally both do identical jobs. Jim works quickly while Sally works slowly. Which of the following is true?

A) Sally uses more energy.
B) Jim uses more energy.
C) Jim uses more power.
D) Sally uses more power.

Answers

The answer should be C

PLEASE ANSWER THIS WILL MARK AS BRAINLIEST PLEASE PUT TRUE ANSWERS
Charles Darwin developed the theroy of Natural Selection (Survival of the Fittest). Which statment below describes this concept?

A.
Animals with the best DNA will go extinct

B.
Organisms will adapt only to be able to have a food source

C.
Organisms that are only single cells will survive any environment

D.
Animals with the best genes and that have the ability to adapt will survive

Answers

Answer:

D

Explanation:

A is wrong bc best DNA will survive

B is wrong because organism adapt not only for food source but to be able to live in the environment as well

C is wrong because single celled organisms don't adapt

What is the formula for Ba+2 and F-?

Answers

Answer:

BaF2

Explanation:

since you got the valence numbers just do the scissors move where you:

give the F the 2 and give the Ba the 1 so it be like

BaF2 here is the chemical compound

A kite 40 ft above the ground moves horizontally at a constant speed of 10 ft/s, with a child, holding the ball of kite string, standing motionless on the ground. Assume the kite is flying away from the child. At what rate is the child releasing the string when (a) 50 ft of the string is out

Answers

Answer:

 v = 27.28 m /s, θ = 63.9º

Explanation:

For this exercise we can approximate the movement to a projectile launch, let's analyze the situation.

* We must find the horizontal speed, for this we will find the descent time and the horizontal distance

* We look for the vertical speed

At the highest point the speed is horizontal

Let's find the time it takes for the kite to reach the ground

             y = y₀ + v_{oy} t - ½ g t²

             0 =y₀ + 0 -1/2 gt²

             t = [tex]\sqrt{ \frac{2y_o}{g} }[/tex]

             t = √(2 40/32)

             t = 2.5 s

to find the horizontal velocity we must know the horizontal distance, let's use trigonometry

          sin θ = y / l

          θ = sin⁻¹1 y / l

          θ = sin⁻¹ 40/50

          θ = 53.1º

therefore the horizontal distance is

          x = l cos 53.1

          x = 50cos 53.1

          x = 30 m

let's use the equation

          x = v₀ₓ t

          v₀ₓ = x / t

          v₀ₓ = 30 / 2.5

          v₀ₓ = 12 m / s

we look for the vertical component of the velocity

          v_y = v_{oy} - g t

          v_y = 0 - g t

          v_y = - 9.8 2.5

          v_y = -24.5 m / s

the negative sign indicates that the speed is directed downwards, because it is the arrival point, as they indicate that there is no friction, the exit speed is the same, worse with the opposite sign

We already have the two components of the velocity, let's use the Pythagorean theorem to find the modulus

          v = [tex]\sqrt{v_x^2 + v_y^2}[/tex]

          v = [tex]\sqrt{12^2 + 24.5^2}[/tex]

          v = 27.28 m /s

we use trigonometry for the angle

          tan θ = v_y / vₓ

          θ = tan⁻¹ v_y / vₓ

          θ = tan⁻¹ 24.5 / 12

          θ = 63.9º

A blender has a power of 0.3 kW. It is used to make a fruit smoothie, which takes 50 seconds. How much energy is used? Give your answer in kilojoules.

Answers

Answer:

P=W/t

W=Pt=0.3kWx50s=15KJ

We have that the energy is used by a blender that has a power of 0.3 kW and which takes 50 seconds is

W=15KJ

From the question we are told

A blender has a power of 0.3 kW. It is used to make a fruit smoothie, which takes 50 seconds. How much energy is used? Give your answer in kilojoules

Generally the equation for the Power   is mathematically given as

P=W/t

Therefore

W=Pt

W=0.3*50

W=15KJ

Therefore

The energy is used by a blender that has a power of 0.3 kW and which takes 50 seconds is

W=15KJ

For more information on this visit

https://brainly.com/question/21811998

Build a second circuit with a battery and a light bulb but this time add a switch. Your circuit might look something like the one at right. When a switch is open in a circuit, it means the two ends are disconnected and current cannot flow between them. When a switch is closed in a circuit, it means the two ends are connected and current can flow between them. Play with the switch to check how it affects the flow of current. With the switch closed, compare the brightness of the bulb and the flow of current in this circuit, with that of your first circuit. Did increasing the length of wire in the circuit change the brightness of the bulb or the curr

Answers

Answer:

the resistance of the wire has no effect on the brightness of the bulb.

Explanation:

Let's apply ohm's law for your light bulb circuit plus wires plus switch

             V = I R_{bulb} + I R_ {wire}

the current in a series circuit is constant

             V = I (R_{bulb} + R_{wire})

To know the effect of the wires on the brightness of the bulb, we must look for the value of the typical resistance of these elements.

Incandescent bulb

Power 60 W

let's use the power ratio

            P = V I = V2 / R

            R = V2 / P

the voltage value for this power is V = 120 V

            R = 120 2/60

            R_bulb = 240 Ω

Resistance of a 14 gauge copper wire (most used), we look for it on the internet

            R = 8.45 Ω/ km

in a laboratory circuit approximately 2 m is used, so the resistance of our cable is

            R = 8.45 10⁻³ 2

            R_wire = 0.0169 Ω

let's buy the two resistors

            R_{bulb} = 240

            R_{wire} = 0.0169

            [tex]\frac{R_{bulb} }{R_{wire} } = \frac{240 }{ 0.0169}[/tex]

              [tex]\frac{ R_{bulb} }{ R_{wire} } = 1.4 \ 10^4[/tex]

therefore resistance of the bulb is much greater than that of the wire, therefore almost all the power is dissipated in the bulb.

In summary, the resistance of the wire has no effect on the brightness of the bulb.

A 0.6 kg basketball is 3.0 high calculate its potential Energy PE=mgh​

Answers

.6(9.81)(3)

=17.65
18 J

2 significant figures

One of alcohol's effects is to _____.

Answers

Answer:

slow down your reaction time

Explanation:

because alcohol makes nerve cells in the brain less excited and basically slows them down.

A scientist analyzes the light from a distant galaxy and finds that it is shifted to the longer wavelength of the electromagnetic spectrum. What does this data help to study?
1) the color of the galaxy
2) the distance of the galaxy from Earth
3) the existence of life on any planet in the galaxy
4) the study of the amount of light scattered by dust in space

Answers

Answer:

Option 2

Explanation:

As per the relation between the distance of the galaxy and shifting of the light of the galaxy towards any specific wavelength of the electromagnetic spectrum, a galaxy at great distance shifts more towards the red spectra that has the highest wavelength.

Thus, this observation give details about the distance of the galaxy from earth.

Answer:

b

Explanation:

What affects the amount of rock that water can erode?
Speed
Time
Slope
All of the above

Answers

all of the above. all of them affect the rock water erode.

Which of the following solar phenomena is likely to have the most negative impact on Earth?

A solar flare as it may cause brief radio blackouts
An aurora as it may damage communication networks
An aurora as it may cause worldwide transmission problems
A solar flare as it may harm satellites and aircrafts flying near poles

Answers

Answer:

A solar flare as it may harm satellites and aircrafts flying near poles

Explanation:

Since solar flare is electro magnetic waves going to Earth the waves will mostly get absorbed by the north and south poles resulting in the aurora borealis, but if the solar flare is strong enough it may stop communications and engines in satellites and aircrafts and in result harming them

Answer:

A solar flare as it may harm satellites and aircrafts flying near poles

Explanation:

10 POINTSSS
My teacher said these are wrong and I'm confused. The blanks need filled.

All objects will remain at rest, or will continue to move at a constant speed in the same ______ unless acted upon by an unbalanced force. This property is called inertia.

Unbalanced forces cause an object to _______.

DONT PUT: VELOCITY, AND CHANGE IN MOTION.

Answers

Answer:

Direction & accelerate

Answer:

unbalanced forces cause an object to accelerate

Which graph represents the relationship between the magnitude of the gravitational force exerted by earth on a spacecraft the distance between the center of the spacecraft the center of earth

Answers

Answer:

B as distance increase force decrease, but it is not a linear relationship.

A hot air balloon is rising at a speed of 10 km/hr. One hour later, the balloon
is still rising at 10 km/hr. What is its acceleration?

Answers

0
Acceleration is the rate of change of speed and there’s no change
Other Questions
four ways in which one's acceptance of responsibility can influence effective communication PLZZ HELP IN THIS :(( What is a rhythmic change ofpressure in arteries Remets les phrases dans l'ordre.muses / va / Michelle / en / visiter / des / juilletMichelle va visiter des muses en juillet.1. municipale / jours / Je / / piscine / tous / les / vais / la / aller2. vont / t / pas/ en / Ils / ne / vacances / cet / aller3. du / vas / Pyrnes / faire / les / Tu / dans / ski4. la / rester / ne / anne / va / Elle / cette / maison / pas. Hellooo! Can anyone Describe the economy of Sparta? In which word is the consonant h silent?eyehooklatheronslaughtharried Which of the following add carbon dioxide to the atmosphere Which of the following describes how modern operating systems function?: A They use punch cards to store and retrieve data.B They manage hardware and resources.C They handle one task at a time. Solve the equation below.2.3.= p + 0.6 Which of the three types of RNA has a sole purpose of bringing tyrosine,glycine, alanine, et cetera to the ribosome? Be careful!messenger RNAribosomal RNAtransfeRNA for each pair of terms, write a sentence using both terms that demonstrates the definition of each term. Thermometer and Degree Can someone plz help me with this one problem plzzzzz Im marking brainliest!!!Also when you pick the graph just say 1st or 2nd graph!!! ABCD is a square.Need help ASAP. which functions can generate all the values in table 2 2ND TIME POSTING THIS!!! WILL GIVE BRAINLISTThink about a time You have done something against the rules or even against the law. Without Useing specifics, write about the emotions of the event. What was it like to break the rules? What emotions did u feel? why did u do it? How did it feel afther? Will mark brainliest if you give explanation male education is better than female education Question 1 (Essay Worth 100 points)(MC)Read the excerpt below and then select one prompt. You will choose to write either a narrative essay or an informational response paragraph.The Railway ChildrenBy Edith NesbitChapter I, The Beginning of ThingsThey were not railway children to begin with. I don't suppose they had ever thought about railways except as a means of getting to Maskelyne and Cook's, the Pantomime, Zoological Gardens, and Madame Tussaud's. They were just ordinary suburban children, and they lived with their Father and Mother in an ordinary red-brick-fronted villa, with coloured glass in the front door, a tiled passage that was called a hall, a bath-room with hot and cold water, electric bells, French windows, and a good deal of white paint, and 'every modern convenience', as the house-agents say.There were three of them. Roberta was the eldest. Of course, Mothers never have favourites, but if their Mother HAD had a favourite, it might have been Roberta. Next came Peter, who wished to be an Engineer when he grew up; and the youngest was Phyllis, who meant extremely well.Mother did not spend all her time in paying dull calls to dull ladies, and sitting dully at home waiting for dull ladies to pay calls to her. She was almost always there, ready to play with the children, and read to them, and help them to do their home-lessons. Besides this she used to write stories for them while they were at school, and read them aloud after tea, and she always made up funny pieces of poetry for their birthdays and for other great occasions, such as the christening of the new kittens, or the refurnishing of the doll's house, or the time when they were getting over the mumps.These three lucky children always had everything they needed: pretty clothes, good fires, a lovely nursery with heaps of toys, and a Mother Goose wall-paper. They had a kind and merry nursemaid, and a dog who was called James, and who was their very own. They also had a Father who was just perfectnever cross, never unjust, and always ready for a gameat least, if at any time he was NOT ready, he always had an excellent reason for it, and explained the reason to the children so interestingly and funnily that they felt sure he couldn't help himself.You will think that they ought to have been very happy. And so they were, but they did not know HOW happy till the pretty life in the Red Villa was over and done with, and they had to live a very different life indeed.The dreadful change came quite suddenly.------------------------Select only one prompt. You will choose to write either a narrative essay or an informational response paragraph.Prompt Choice 1 (Narrative Essay)Read the prompt below and write a well-developed narrative essay.How have you changed since you were a very young child? What is one thing you once believed and what happened to change it?**Be sure that your narrative has a clear beginning, middle, and end. Use your mature voice, specific details, sensory descriptions, and dialogue. Proofread your work before submitting.Prompt Choice 2 (Informational Response)Review the excerpt above. Answer the following question in a well-developed paragraph.How does the excerpt prepare the reader for the last line? What details and descriptions prepare the reader for the change in tone and mood in that final line?**Be sure to re-state the question in your topic sentence and use specific examples and details from the story to support your answers. Proofread your work before submitting. Please awnser questions, no links, no I dont know Compare and contrast the historical classification models that we have studied. Please include a discussion of the positive and negative aspects of classification systems used by Aristotle and Linnaeus.