An object falls from rest at the top of a building. If it falls 0.3 of the height of the building in the first 13 seconds of motion, find the total time of its fall in seconds.

23.75 seconds

A sketch of the scenario is attached to this response.

This is a motion of free fall and some of the equations of such motion will be used here.

To solve this problem, follow these steps

(i) First get the height of the building.

The ball falls from rest at the top of a building. It falls 0.3 of the height of the building in 13 seconds...

During free fall, the height (h) of an object is given as;

h = ut + [tex]\frac{1}{2} at^2[/tex]            -------------------(i)

Where;

h = height of the object from the reference point to a point in time.

t = point in time

a = acceleration due to gravity = 10m/s² [taking downward motion positive]

u = initial velocity of the object.

In this case;

Let the height of the building be H.

At t = 13 seconds, h = 0.3H

Also, since the object falls from rest, the initial velocity is zero (0)

Substitute these values into equation(i) as follows;

0.3H = (0)t + [tex]\frac{1}{2} (10)(13)^2[/tex]    

0.3H = 0 + [tex]\frac{1}{2} (10)(13)^2[/tex]    

0.3H = [tex]\frac{1}{2} (10)(13)^2[/tex]    

0.3H = 845

H = [tex]\frac{845}{0.3}[/tex]

H = 2816.7m

(ii) Now get the total time of the object's fall in seconds

The total time of its fall is the time taken for it to fall from the top to the ground.

Using the same equation(i) used above;

Let the total time taken to fall from the top to the ground be T

The height from the top to the ground is H = 2816.7m

The initial velocity is 0

Acceleration due to gravity is 10m/s²

Substitute these values into equation(i)

2816.7 = 0 + [tex]\frac{1}{2} (10)T^2[/tex]    

2816.7 = [tex]\frac{1}{2} (10)T^2[/tex]

2816.7 = [tex]5T^2[/tex]

T² = [tex]\frac{2816.7}{5}[/tex]

T² = 563.34

T = √563.34

T = 23.75seconds

Therefore, the total time of its fall in seconds is 23.75

The speakers below are discussing foreign policies that the United States has followed at various times. Base your answers on their statements and on your knowledge of social studies. Speaker A: Steer clear of permanent alliances with any portion of the foreign world. Speaker B: The United States will give economic aid to needy countries anywhere in the world, but will not provide military aid. Speaker C: The United States must prevent the growth of communism. Speaker D: The United States can take over other countries to help them become more like us.

What's a good catchy title for an Australian Colonisation essay??
pleaseee help !

A quote from fences that defends Rose being strong

Claire stared out a window

What is the correct meaning of the word outcome?
No one could believe the outcome of the game.
uncertainty
result
surprise
length

What is the correct meaning of the word outcome?

WHEAT → BIRD → SNAKE → CROCODILE → WORM
1. Which is the primary consumer? __________
2. Which is the decomposer? _____________
3. Which is the tertiary consumer? ___________
4. Which is the producer? ___________________
5. Which is the secondary consumer? ____________

Please choose the correct answer
best way to identify the
dizzerfight?
When the panderslow stops, it
always appears.
O A beetlebop appears in the first
quarter moon.
O It makes all dowslippers uneasy
at midnight

Which quadrant is (4,-6) in?

A) I.
B) II.
C) III.
D) IV.

Too - too much - too many - enough - not enough Write 10 sentences in total using what we learn today: 2 with too 2 with too much 2 with too many 2 with enough 2 with not enough

Please help 10 points

when analyzing a speech, you should first_______ the speakers main________.
A P E X

Please help

Explain two audiences groups that the movie is sustainable for a bank robbery movie? explain in two different paragraphs.

How does the following portion of Susan B. Anthony's speech support her
argument?
The preamble of the Federal Constitution says:
We, the people of the United States, in order to form a more
perfect union, establish justice, insure domestic tranquility,
provide for the common defense, promote the general
welfare, and secure the blessings of liberty to ourselves and
our posterity, do ordain and establish this Constitution for
the United States of America.
It was we, the people; not we, the white male citizens; nor
we, the male citizens; but we, the whole people, who formed
the Union. And we formed it, not to give the blessings of
liberty, but to secure them; not to the half of ourselves and
the half of our posterity, but to the whole people - women
as well as men. And it is a downright mockery to talk to
women of their enjoyment of the blessings of liberty while
they are denied the use of the only means of securing them
provided by this democratic-republican government - the
ballot.
O A. It proves that all citizens of the U.S. are given the same rights.
OB. It shows Anthony should not be allowed to vote.
O c. It shows only male citizens are addressed in the U.S.
Constitution.
D. It shows that most historical documents fail to address
women's rights.

please help me i dont understand

1. Aracely will come to work later


can she?
won't she?
does she?

2The officers saw the
accident,______?

do they?
did they?
does they?

Lara is_____ Spanish (article)
CAN someone confirm this ​

A negatively charged object is placed beside a negatively charged object

Glazing pottery can be tricky. The stunning results make the effort worthwhile.

What should be included to best combine the sentences?

How does Dove’s use of imagery in this passage contribute to the poem’s meaning?

It demonstrates Kahlo’s determination to seek further treatment.
It illustrates Kahlo’s intention to ignore and disregard her condition.
It depicts how Kahlo felt trapped and hopeless by physical limitations.
It provides a hopeful image that suggests that Kahlo was not restrained by her condition.

what is the theme of Merchant of Venice Act 1 Scene 3 give reason ​

Read the excerpt from the Joint Statement by President Roosevelt and Prime Minister Churchill.

Sixth, after the final destruction of the Nazi tyranny, they hope to see established a peace which will afford to all nations the means of dwelling in safety within their own boundaries, and which will afford assurance that all the men in all the lands may live out their lives in freedom from fear and want;
This statement is based on the assumption that
A. peace is not possible for all people of the world.
B. some men will still lead lives of fear and want.
C. the allied powers will defeat Nazi Germany.
D. Germany will cooperate with Great Britain and the US.

What is the best revision to fix the error in the underlined sentence

Read this excerpt from Ralph Waldo Emerson's essay "Self-Reliance":
Which if the following sentences best describes the authors central claim is this excerpt

A. Men must accept the reality of life if they want to find true happiness.
B. Men should retain their innocence and trust their instincts to achieve great things.
C. Men have to believe in the existence of good and evil and do what's is right.
D. Men must accept whatever the devine being has set for them and trust themselves.​

HURRYYY!!! The conclusion of an informative report should
orient the reader to the topic.
make new recommendations.
restate the reason for writing.
list data that supports findings.

A Three-Point Turn

Chapter 1

"You know, hardly anyone ever needs to do a three-point turn anymore," said Justin, trying to help Becky calm down.

"Oh, so it's not a useful skill AND I am probably going to fail the driving test because I can't do it anyway," Becky said, raising her voice for emphasis. "That should make me feel like a million bucks when I flunk."

Justin was riding with Becky so she could take her driving test. He had volunteered for the job because he thought she would be less nervous with him than with their mom, but so far, he wasn't sure he was making any difference.

"Slow down, your turn is coming up here," he said, looking ahead.

"I know, I know," she replied, "I've been here before remember—the last time I flunked."

Justin was pretty sure if he had let her miss the turn, things would only have deteriorated further, but he wasn't sure he was fond of being the scapegoat for Becky's anxiety.

"Listen, you need to take a few deep breaths," he said, hoping he could help her at least relax a bit. "Being nervous won't help you with the three-point turn or anything else you have to do. Hey, did you just take that turn without your turn signal on?" This was going to be harder than he thought.

"Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate."

"Look, you need to stop and get yourself together here," Justin started. "It is not just about passing the driving test. I don't want to get in an accident, so pull into that parking lot."

Becky drove into the office building's parking lot where Justin was pointing. Justin knew they were less than a mile from the licensing office, and if she continued in this condition, he'd be having this same discussion three months from now when she tried the test again for the third time.

"You need to get a grip," he started after she put the car in park, "because you have studied and practiced driving all year. You know this stuff inside and out, backwards and forwards. What are you so nervous about?"

"I don't know, I don't know," Becky wailed, resting her head on the steering wheel. "I just get so tired of failing."

Listening quietly as Becky sobbed, Justin realized this was about much more than a driving test. He also knew if he didn't find a way to help Becky things would just get worse.

Chapter 2

Justin took a deep breath and collected his thoughts. Becky was an unbelievably consistent straight-A student. It was Justin who got the bad grades in school, and Justin who had to repeat every math class he'd ever taken. It was Justin who wished he could get the grades Becky got. Some things came easier for Justin: He was athletic, handy with tools, and good at making the best of whatever life threw at him. Mom called him her "lemons into lemonade" kid. But for the most part, Becky succeeded easily, whereas Justin had to work and work to just get a passing grade.

Rather than having Becky catalogue all the things she supposedly "failed" at, Justin decided to try an alternative approach, one that wouldn't remind him of all the ways he had failed.

"Okay, Becky, let's assume for a moment you fail this test again. What is the worst thing that could happen?" he asked.

"I would be the oldest kid at school without a license and be humiliated," she replied. Justin thought he heard a bit of panic in her voice but continued with his plan.

"Yes, but won't we still have to drive to school together for at least one more year anyway?" he asked.

"Yes, but..." she started.

"And who will know, if you don't tell anyone except your friends, that you don't have your license? You know Mom can't afford another car just for you, right?"

"Yes," she said quietly.

"So what difference does it make, really," he said. "Another three months to wait in the grand scheme of your life doesn't seem like all that long, right?"

"I suppose not," she said.

Justin could tell she was breathing more slowly now. "Besides," he said, "I would miss all the practice driving with you," and for good measure he reached over and pinched her arm.

"Ow," she said, hitting back at him, "that hurt."

"So let's go do this, okay?

"Okay," she said. Becky cranked up the car, backed slowly out of the parking spot and drove up to the parking lot's exit. Justin noticed, as they waited for the traffic to clear, that she had remembered the turn signal.

Read this line from Chapter 1:

"Stop yelling at me," Becky replied, clearly frustrated, "I can't concentrate."

Which of the following has a more negative connotation than frustrated?

Concerned
Distraught
Puzzled
Reassured

Imagine in the future, you can live on land or underwater. Which one would you choose? Why? Write 120 words.

what is "Closing the Circle" story by jhumpa lahiri about

Which statement best explains how Ibsen creates suspense in this passage?

He uses a flashback to show the audience a possible outcome for one of the play’s central conflicts.
He uses foreshadowing to tell the audience how the conflicts in the play will ultimately be resolved.
He uses dramatic irony by sharing Nora’s thoughts with the audience, revealing that Torvald will help her.
He uses dramatic irony because the audience knows that Nora is planning to kill herself, while Torvald does not.

Choose the source that would best defend the following assertion.
The majority of students at Liberty High School enjoy sugary treats and fast food.
O a school-wide survey done by the cafeteria at the high school
O a newspaper article that interviews two or three students
O an interview with one student
all the above
none of the above

Which entry would be found in a thesaurus?
1. It's A Fact: In the US there is an average of 13 cases of plague reported each year.
2. fine, delicate, light, gauzy, lacy, sheer, wispy
3. habitat \ha-bə-tati n. 1. the place or environment where an animal lives
4. United States, History of the. The history of the United States is the story of a great nation.