The height of an object launched vertically upward is given by the function h(t)=200+11t-4.9t^2, where h is in meters and t is in seconds. What is the object’s approximate speed when it hits the ground?

Answers

Answer 1

Answer:

The approximate speed of the object when it hits the ground is 63.568 meters per second.

Explanation:

The height of the object launched vertically upward is represented by the function [tex]h(t) = 200+11\cdot t -4.9\cdot t^{2}[/tex]. The approximate speed of the object when it hits the ground occurs when [tex]h(t) = 0[/tex]. Then, we solve the resulting second-order polynomial by the Quadratic Formula:

[tex]-4.9\cdot t^{2}+11\cdot t +200 = 0[/tex] (1)

The roots associated to this polynomial are, respectively:

[tex]t_{1}\approx 7.609\,s[/tex] and [tex]t_{2} \approx -5.364\,s[/tex]

Given that time is a positive variable, the only solution that is physically reasonable is:

[tex]t\approx 7.609\,s[/tex]

The function velocity is the first derivative of the function defined at the commencement of the explanation, that is:

[tex]v(t) = 11-9.8\cdot t[/tex] (2)

If we know that [tex]t\approx 7.609\,s[/tex], then the approximate velocity of the object when it hits the ground is:

[tex]v(7.609) = 11-9.8\cdot (7.609)[/tex]

[tex]v(7.609) = -63.568\,\frac{m}{s}[/tex]

The speed is the magnitude of this velocity. Therefore, the approximate speed of the object when it hits the ground is 63.568 meters per second.


Related Questions

Based on the information in the diagram, Identify the island that is in the earliest stage of succession?

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Answer:

could you add a picture so we could see the info on the diagram

Explanation:

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Convert 15 to per cent​

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Answer:

15%

Explanation

to make any number percent just and a 100 as a denominator

making it 15/100 then we multipy the result is 1500 percent, or, using the percent sign, 1500 %. Put simply, to change 15 to % move the ″.″ two places to the right.

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 What powers does Congress have to provide oversight over the executive and judicial branches?

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Um what grade this is

Answer:

The Congress organizes the two branches, Congress is responsible for declaring war, and makes the laws for the other branches.

Explanation:

In the following examples, which person is spending the day with his
extended family?
O A. Darian, who will be with his friends
O O
Ο Ο
B. Samuel, who will be with his parents, cousins, and grandparents
C. Frank, who will be with his neighbors, teammates, and his coaches
D. Eduardo, who will be with his sister

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Samuel who will be with his parents

An examples extended family is B. Samuel, who will be with his parents, cousins, and grandparents

What is extended family?

Extended family serves as a

a family which comprises household near relatives, this might include the grandparents as well as aunts.

Therefore, example of extended family is Samuel that spend time with his parents and grandparents.

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1. Describe a time when you changed the quantity demanded for a
product or service in response to a change is price.
2. Describe a time when you changed the demand for a product or
service in response to a non-price determinant of demand (TRIBE).

Answers

Answer: See explanation

Explanation:

Demand means the amount of goods and services that a particular individual wants to purchase at a particular price and at a particular place.

Factors which affect demand include price. When price increases, the demand for a good or service reduces and vice versa.

Other price factors that affect demand include taste, fashion, weather, consumer's income etc.

1. There was a particular time that I wanted to buy a pen which costs $2 each. I wanted to buy 5 pens which would be $10. When I got to the stationary store, I was informed that the pen was now $2.50 each. Due to this, I could only buy 4 pen. This shows that due to an increase in price, the quantity demanded of pen that I could buy was reduced.

2. My pay at my workplace got increased from $980 to $1100. Due to these increase in my income, I increased the quantity demand for my food items as I could now buy more food items because my income has risen.

WILL GIVE BRAINIEST ANSWER!!!!!!
3. Based on the graph below, what is the most likely explanation for what happened just before the start of Year 13?

A. normal conditions
B. hot summer
C. cold spring
D. harsh winter

Answers

C is the answer for this

Why is international trade important for economies around the world?
A. Trade protects countries' domestic industries from foreign
competitors.
B. Trade allows countries to specialize instead of producing all the
goods they need.
C. Trade prevents any one country from establishing an absolute
advantage over others.
D. Trade encourages countries to invest in a huge variety of different
industries

Answers

Answer: (B) Trade allows countries can you specialize instead of producing all the goods they need

Explanation: i got it right

The international trade important for economies around the world because trade allows countries to specialize instead of producing all the goods they need. Thus, option B is correct.

What are trade alliances?

Trade alliances are also called trade agreements. It is a form of agreement that emphasizes the formulation of trade relationships. It is important to mention that trade alliances include both multilateral and bilateral agreements. It can take place between two nations or two states.

Trade alliances effectively allow countries to open up their border so that trade can be carried out without any interruption. Furthermore, it is also a means through which trade restrictions and tariffs can be reduced.

It can be concluded that trade alliances are designed to reduce tariffs and other restrictions on trade, and open borders between countries.

Therefore, The international trade important for economies around the world because trade allows countries to specialize instead of producing all the goods they need. Thus, option B is correct.

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In which of the following should the random variable X not be modeled with a geometric distribution?

Answers

Answer:

D)

In a bag of 30 different colored candies, about 20% are red. One candy will be selected one at a time without replacement, and its color will be recorded. Let  X  represent the number of candies selected before red is selected.

Explanation:

The selections are not independent because they do sampling without replacement which makes it so there is not an equal chance of being selected each round.

The question can be solved by evaluating the assumptions for a geometric distribution. Hence, since the probability for success is not the same for each trial, then the option D cannot be modeled using a geometric distribution.

One of the assumptions to consider before the use of a geometric distribution can be valid is that, the probability of success must be the same for each outcome.

In the option D, selection is done without replacement, meaning that, the number total possible outcome will decrease as we make each selection and will also depend on how the colors are being chosen.

Hence, the probability success will differ for each outcome, thus the option D is correct.

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Which of the following terms is defined as the use of technology to change the genetic makeup
a species?
O genetic modification
O genome
O irrigation
O fertilization

Answers

Answer:

fertilization

Explanation:

Why are metals such good conductors of electricity? A. because delocalized electrons can move freely within a sample B. because they have rather large nuclei that repel electrons C. because the majority of their electrons are located in s-orbitals D. because they tend to form positively-charged cations

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Answer:

i think its a but im not completely sure

Explanation:

explain a possible social consequence of british colonalism on india

Answers

Answer:

The British rule introduced the railways, the press, and the western system of education, clubs and associations all of which shook the prevalent socio-economic order. But the processes of exploitation unleashed by them destroyed the possibilities of development of industries and a modern economic system in India.

Explanation:

WILL MARK BRAINLIEST!!: William James said, “If we remembered everything, we should on most occasions be as ill off as if we remembered nothing.” Reflect on this quote.

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The correct answer to this open question is the following.

“If we remembered everything, we should on most occasions be as ill off as if we remembered nothing.” William James.

What Willia James tried to share with this quote was that people have to forget and live. That it is not a good thing to carry the burdens of life, generating resentments all your life. Whatever happened one year ago or ten years ago, it's in the past. To be happy you have to free of those burdens that come from time to time and produce bad feelings, just by reminding you what happened or who made what to who.

So for me is a good quote to remind ourselves to forgive and forget, and keep on living a happy life without resentments.

what's your fav HXH character

Answers

Answer:

What is HXH

Explanation:

The one with blue hair is cute

Answer:

My favorite is killua

Explanation:

Which of the following are considered side effects of waterlogging crops?


Death of crops
Rise in local water table
Need for increased fertilizer

I only
II only
II and III only
I and II only

Answers

Answer:

one death of crops and two rise of local water table

The side effects of waterlogging crops are the death of crops and the rise in the local water table. The correct option is c, II, and III only.

What is water clogging crops?

Waterlogging reduces the amount of oxygen in the root zone, which slows plant growth. Waterlogging alters the chemical equilibria of many elements, which then enter the soil-water solution in their ionic forms, increasing the reduction potential of the soil.

Some grains can withstand waterlogging better than others: Canola and the majority of grain legumes are more prone to waterlogging than cereals and faba beans.

The grain legumes fava bean, yellow lupin, grass pea, narrow-leafed lupin, chickpea, lentil, and field pea are listed in decreasing order of tolerance.

Therefore, the correct option is c, II, and III only.

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Fiscal policy helps the government manage the economy by:

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Answer: B. collecting tax money to save during strong economic periods.

Explanation:

Just took the test

Your favorite Edgen. teacher, go:

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Answer:

I do know I just want the points

The most common type of mortgage is a:
A.
15-year fixed mortgage
B.
30-year variable mortgage
C.
30-year fixed mortgage
D.
50-year variable mortgage

Answers

I think the answer will be B

A financial institution has a higher degree of interest rate risk on a  15-year fixed-rate mortgage than a  30-year fixed-rate mortgage.

What comprises a mortgage?

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount in the principal part. Borrowing money has a cost, which is interest. Both the interest rate and the loan balance affect how much interest you pay.

It can assist you in earning money and raising your overall net worth when applied effectively. A mortgage is also one of the most affordable forms of debt. Interest rates are low, and you can pay even less after deducting your mortgage thanks to federal and state tax advantages.

Therefore, A financial institution has a higher degree of interest rate risk on a  15-year fixed-rate mortgage than a  30-year fixed-rate mortgage.

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Briefly explain how the presence of charged ions in ionic solids such as NaCl(s) helps to explain why NaCl(s) is soluble in water.

Answers

The stronger electrostatic forces of attraction between the oppositely charged ions causes the Sodium chloride to break apart until it completely dissolves in the water.

you guys are welcome

Answers

oh why thank you lol

Answer:

hi

Explanation:

dhehenwbwkdjsbsvsjsjenehsjdbejsnejdjejdneje

Complete the following statements.


A (revolving credit, debit card or charge card) allows consumers to make purchases at specific retailers using credit. Users of this type of card must pay the entire amount at the end of the (year, day or billing cycle) .

Answers

Answer:

revolving Credit and Billing Cycle

Explanation:

A revolving credit, allows consumers to make purchases at specific retailers using credit. Users of this type of card must pay the entire amount of the  billing cycle at the end of the year.

What is revolving credit?

Revolving credit is known to be a kind of loan that helps one to have access to a given amount of money.

Note therefore that A revolving credit, allows consumers to make purchases at specific retailers using credit. Users of this type of card must pay the entire amount of the  billing cycle at the end of the year.

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A scientist is studying a biome that experiences large seasonal fluctuations in both temperature and precipitation patterns. Which of the following would best characterize the organisms that inhabit the biome?

Answers

Answer:

Generalists would be most abundant, because the resources available would be constantly changing.

Explanation:

Brian's birthday is on 10 January and he is having a party that day. Five days before this, he is meeting his brother for lunch and ten days after his birthday he is meeting his sister for lunch. Both of these lunch meetings are at the weekend (i.E. On Saturday or Sunday). On which day of the week is Brian's birthday?

Answers

Answer:

A MONDAY OR TUESDAY!!!!!

Explanation:

I DONT KNOW THE EXACT BC YOU DID NOT SAY WHETHER THE FIRST ONE is on a saturday or sunday

Which phrase best completes the diagram?
?
Trade deficit increases
A. Exchange rate decreases
B. Inflation rate decreases
C. Economic growth increases
D. Terms of trade improve

Answers

Answer:

A just got it right

Explanation:

on A P E X

The phrase best completes the diagram is that the Trade deficit increases A. Exchange rate decreases.

What is the trade deficit?

A growing stage of imports and a developing exchange deficit will have a poor impact on a country's alternate rate. Weaker home forex stimulates exports and makes imports greater expensive; conversely, robust home forex hampers exports and makes imports cheaper.

An exchange deficit happens whilst a country's imports exceed its exports all through a given time period. It is likewise known as poor stability of exchange (BOT).

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Some birds swam or hunted for grain.

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i’m not sure i understand this question

AP Human Geography

What’s an isogloss? Is Chicago an example of one? Why or why not?

Answers

Answer:

An isogloss is a geographical area that uses a particular feature when they speak and that other surrounding places do not use.

Chicago is an example of an isogloss because people in Chicago tend to pronounce the /r/ after a vowel while the neighboring areas do not.

Explanation:

Isoglosses are areas where a word, sound, or phrase is pronounced differently or has a different meaning in comparison with other cities or places that are close to this one. It is part of the accent and the culture of that region.

If we think of Chicago, we can see that people there pronounce the /r/ after a vowel while the surrounding areas do not pronounce it. Some examples are words such s torn or harm.

What is the most logical religion, and why?

Answers

Explanation:

click the picture below and find yr answer

TIMED HURRY PLEASE( 40 points and a brainlist) Read the excerpt from William Seward’s The Building of the Erie Canal.

The public debt for canals in 1825 amounted to seven and a half million dollars—all of which, it must be recorded to the honor of the State and the country, had been borrowed of American capitalists—and the annual interest thereon, to three hundred seventy-six thousand dollars. The Governor estimated that the tolls for the year would exceed three hundred ten thousand dollars; that the duties on salt would amount to one hundred thousand dollars, and that these, with the other income of the canal fund, would produce a revenue exceeding, by three hundred thousand dollars, the interest on the canal debt. He stated also that ten thousand boats had passed the junction of the canals near tide-water during the previous season. Remarking that the creative power of internal improvement was manifested in the flourishing villages which had sprung up or been extended; in the increase of towns; and, above all, in the prosperity of the city of New York. And noticing the fact that three thousand buildings had been erected in that city during the preceding year, Clinton predicted that in fifteen years its population would be doubled, and that in thirty years that metropolis would be the third city in the civilized world, and the second, if not the first, in commerce.

Why might the bulding of the Erie Canal be considered controversial?



It had a negative environmental impact.
It was not long enough.
It was publicly financed.
It was an economic failure.

Answers

so we get the points just by reading it and writing something

Answer:

C) It was publicly financed

Explanation:

The Erie Canal was one of the largest and most controversial construction projects undertaken in the United States during the nineteenth century. ... Western farmers were able to ship their produce directly to American markets without having to go through Canadian waters

if it publicly financed that means that there would be a trouble with people who want to be the owner/ruler

hope it helps

Qs1 = -500 + 7P

Qs2 = -500 + 10P​

Answers

Answer:

1st image for 1st question

Explanation:

2nd question:

[tex] - 500 + 10p = \\ (factor \: out \: 10) \\ 10( - 50 + p) \\[/tex]

here you go

Please select the word from the list that best fits the definition:

Is presented in alphabetical order

A. Table of contents
B. Glossary
C.Preface
D. Title page
E. Appendix

Answers

B) Glossary

Reasoning: it is always presented in alphabetical order

Is presented in alphabetical order the Glossary that means is kind of dictionary that, attached to the work and explains little-known term.

What is an example glossary?

This is what is called a technical usage word. Such as, for example, medical or legal terms. Word meanings that only a certain geographic region uses may also appear, such as translating other languages ​​and explaining regional terms.

The glossary a kind of dictionary that, attached to the work, explains little-known terms, archaic, pilgrims, dialects, etc.

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What proportion of the children identified orange as their favorite type of juice?

Answers

Answer:

first add all number of children who like different types of juices 6+5+1+3=15 ,now divide360/15=24 ,then the angle of the shaded part is for orange juice so three children like orange juice and the angle formed is24*3=72,therefore angle of the shaded position is 72 degree,third option is correct

Explanation:

if im correct the diagram had a circle chart with a layout and also a graph table with the different kind fruits

Answer:B 400/700

Explanation:

400 children chose orange juice out of 700 children

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