For time t≥0 , the acceleration of an object moving in a straight line is given by a(t)=sin(t23). what is the net change in velocity from time t=0. 75 to time t=2. 25 ?

Answers

Answer 1

The net change in velocity during the given time interval is equal to -0.665.

Given the following data:

Initial time = 0.75 seconds.Final time = 2.25 seconds.Acceleration, [tex]a(t) = sin(\frac{t^2}{3} )[/tex]

How to calculate the net change in velocity.

Since acceleration is the rate of change of velocity of an object, we would derive an expression for the velocity by differentiating with respect to time:

[tex]V(t) = \frac{d}{dt} a(t)\\\\V(t) = \frac{d}{dt} (sin(\frac{t^2}{3} ))\\\\V(t) = cos( \frac{t^2}{3})(\frac{2t}{3})\\\\V(t) = \frac{2t}{3}cos( \frac{t^2}{3})[/tex]

Substituting the time interval, we have:

[tex]V(t) = \frac{2\times 2.25}{3}cos( \frac{2.25^2}{3})- \frac{2\times 0.75}{3}cos( \frac{0.75^2}{3})\\\\V(t) = \frac{4.5}{3}cos( \frac{5.0625}{3})- \frac{1.5}{3}cos( \frac{0.5625}{3})\\\\V(t) =1.5(-0.11643)-0.5(0.98247)[/tex]

V(t) = -0.665.

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Related Questions

Rivers of China flow from:


A)glaciers of Tibet


B)Gansu province


C)Andes mountains


D)Mongolia

Answers

The answer is (a) the glaciers of Tibet

A family is paying to heat their house in Chicago, Illinois. Calculate the cost of heating the house
for one winter. Assume the following:
• The house has 2,000 square feet of living space.

• 100,000 BTUs of heat per square foot are required to heat the house for the winter.

• natural gas is available at a cost of $6.00 per thousand cubic feet

• one cubic foot of natural gas supplies 1,000 BTUs of heat energy

• the furnace in the house is 70% efficient


.
Natural gas is available at a cost of $6.00 per thousand cubic feet.
One cubic foot of natural gas supplies 1,000 BTUs of heat energy.
• The furnace in the house is 70 percent efficient.

Answers

If the natural gas is available at a cost of $6.00 per thousand cubic feet. The cost of heating the house is: $1,714.

Cost of heating the house

First step is to calculate number of cubic feet of natural gas required to heat the house for one winter.

Number of cubic feet=(2000 ft²)× (100,000 BTU/ft³) ×(1 ft³÷1000 BTU)×(1 BTU(in)÷0.7 BTU (out))

Number of cubic feet = 285,714 ft³

Second step is to calculate the cost of heating the house

Cost of heating the house=(285,714 ft³)× ($6.00÷1000 ft³)

Cost of heating the house=$1,714

Inconclusion the cost of heating the house is: $1,714.

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ANSWER ASAP PLEASE


Based on the information in the flowchart, which of the following statements best describes how the president can influence the rulemaking process?


The president can issue an executive order instead of a rule if the rule does not support the administration’s goals.

The president exerts control over rules and regulations by selecting agency leaders who are sympathetic to the president’s goals.

The president has little control over the rulemaking process, as the administration must follow the specific dictates in the legislation.

The president can use public relations to rally citizens to support or defeat potential rules that may harm the administration’s goals

Answers

Answer: The president can issue an executive order instead of a rule if the rule does not support the administration's goals.

According to the question, The president can issue an executive order instead of a rule if the rule does not support the administration’s goals. Therefore option A is correct.

What is President?

The top executive of the United States and the highest administrative official of a contemporary republic: inaugurated as Mexico's 56th president. a leader of an organized group of people who are appointed or elected. the head of a college, institution, organization, community, etc.

The president has various responsibilities while residing and working in the White House. Among them are the eight positions listed below, commander-in-chief, chief of state, chief executive, chief administrator, chief diplomat, chief legislator, chief of party, and chief citizen.

In accordance with the Constitution, the president has the authority to issue pardons and reprieves, command the armed forces, request the written advice of their Cabinet, convene or adjourn Congress, and welcome diplomats.

Hence, The president can issue an executive order instead of a rule if the rule does not support the administration’s goals.

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felicia has reached the end of stage 1 labor. which event happens at the end of stage 1 in a normal delivery?
the umbilical cord is delivered
the cervix dilation reaches 10 cm
the baby passes through the birth canal.
the placenta is delivered

Answers

Answer:

it would be the second one, or B.

Explanation:

The uterine contracts first when reaching the end of stage one. please mark as brainlest.

what do concepts do for our thinking?
A. categorize it
B. encode it
C. converge it
D. simplify it

Answers

A. Categorize it dot dot dot

Answer:

C

Explanation:

converge it

You weigh 175 lb on earth. When you reach alderon, you discover that its gravity is 1. 75 that of earth. What is your weight on alderon?

Answers

Answer:

1,362.2 N

Explanation:

1. Find what you have and what you need.

Weight = 175lb  1lb= 4.448N  Gravity of Alderon to Earth 1.75:1 Weight on Alderon in N?

2. Convert the units from lb to N and then muliply by 1.23.

[tex]175*4.448*1.75[/tex] = 1,362.2 N

What is the magnitude of the magnetic field at the origin (0)?

Answers

Answer:

Total magnetic field is 0

Explanation:

A magnetic field is defined as a location in space near a magnet or an electric current, the further paragraph explains the magnitude.

What is a magnetic field?

A magnetic field is defined as a location in space near a magnet or an electric current where a physical field is formed by a moving electric charge exerting force on another moving electric charge.  The Earth's magnetic field is an example of a magnetic field.

Since either 0o or 180o and due to a semi-circular arc are equal and opposite, the magnetic field due to straight wires AB and CD is zero; thus, the net field at O is zero.

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implicit memories are more like ______ memories.
A. detailed
B. contextual
C. procedural

thanks :)

Answers

Answer:

b

Explanation:

i just toke a test and its B

Four-year-old Rebecca states that the two lines in set A have the same number of dots but that the second line in set B has more dots than the first line has. Rebecca's inability to report that the two rows set B contain the same number of dots reflects a lack of

A animism
B theory of mind
C conservation
D accommodation
E object permanence

Answers

Answer:

C. conservation

Explanation:

The inability to report the two sets of lines A and B have the same number of dots is that of lack of conservation. This option C is correct.

What is conservation?

Conservation is the prevention of the wasteful use of the resources and is the principle by which the total value of the physical, a quantity such as energy and mass remains constant.

They are subjected to external influence. Rebecca's inability to recall the similarity of the lines is due to the cognitive mindset that forgets and cant remember patterns.

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From what do both the NATO and Warsaw Pact treaties derive their legitimacy?

Answers

NATO and Warsaw Pact treaties derive their legitimacy from the Eastern bloc, and  Western bloc.

How are the NATO and Warsaw Pact similar?

The Warsaw Pact is known to be a pact that is made up of the Eastern bloc, and NATO and its member countries is said to be made up of the Western bloc.

NATO and the Warsaw Pact are said to have similar ideology and they tend to built a lot of separate defenses in terms of beginning an arms race that was said to be in the Cold War.

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WHY DOES
REGION 9 OFTEN
PASS THROUGH
STORMS?

Answers

Answer:

It is usually because of erosion, climate and past weather, and history of storms that cause region 9 to have many storms pass through storms. Location and level above the sea are also important factors in this storm behavior.

AP World History

Create a multimedia presentation that effectively responds to a prompt and analyzes continuities and changes over time.

From 1200 to the present, religions and belief systems have shaped and been shaped by societies and states in a multitude of ways.

Develop an argument that evaluates the continuities and changes in the ways that religions and belief systems have both supported and challenged societal and political standards.

Be sure to address each of the following regions: Africa, the Americas, Asia, Europe, and Oceania

Answers

A  religions and belief systems have shaped and been shaped by societies and states in a lot of of ways are Christianity, Islam, Judaism, etc.

How does religion and society shape one another?

Religious practice is known to be a common belief that has lead to the well-being of people, families, and the community at large.

Religious worship is known to be a factor that has brought a reduction in the level of crimes such as domestic abuse, substance abuse and others.

Our values and beliefs is known to influence every area of our work and even how we relate too each other. It is what made us who we are and it is part of our identity.

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What was once a pond filled with bass fish on Tom's parent's farm is now significantly decreased in population. Which of the following could explain the reason for the decrease in the bass population?

a. Drainage from sugar farms has decreased the reproductive rate in fish.

b. Fertilizer runoff contains endocrine disruptors that affect reproduction in fish.

c. Increased photosynthesis causes competition for food resources.

d. Planting sugar cane along the riverbank has created a mass emigration of fish

Answers

Answer: b. Fertilizer runoff contains endocrine disruptors that affect reproduction in fish.

Mr. Smith is reminding his son of his curfew time. “Don’t forget, Paul, be home by 10:30 p.m.” Describe nonverbal cues that would create a mixed message and convey the idea that Paul’s dad is unsure about the curfew time and wouldn’t be upset if Paul came home late.

Answers

Answer:

That means you would have to  be home  by approximately 10 mins early so you'll have to be there BY 10:30 not just 10:30 so you should show up by 10:20pm so you wont be late.

Explanation:

HOPE IT HELPS

-Identify the key components of both psychodynamic and humanistic therapy.

-Compare and contrast the role of the therapist in psychodynamic and humanistic therapy

Answers

Psychodynamic therapies are therapeutic approaches that are based on the theoretical contributions of classical psychoanalysis, while humanistic psychology delves into the growth and self-knowledge of one's own person.

What is psychodynamic therapy?

It is a form of depth psychology whose primary goal is to reveal the unconscious content of a client's psyche in an effort to relieve psychic tension.

What is humanistic therapy?

It is a form of psychology that creates an atmosphere of support, security and understanding to guide the person towards self-acceptance and towards those changes with which to achieve fulfillment and well-being.

Roles of the therapist in psychodynamic and humanistic therapy

In psychodynamic therapy, therapists help people review emotions, thoughts, to assess patterns that have developed over time, this has the shortest of interventions.

In humanistic therapy, the psychologist enables, facilitates and guides the person so that she can, by herself, proceed to develop her identity, self-esteem and motivation to the maximum.

Therefore, we can conclude that psychodynamic therapies are therapeutic approaches that are based on the theoretical contributions of classical psychoanalysis, while humanistic psychology delves into the growth and self-knowledge of one's own person.

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An astronaut on the moon simultaneously drops a feather and a hammer

Answers

Answer:

They will both land together if he is on the moon, according to the laws of physics.

when did we discover the galilean satellites were ocean worlds

Answers

The Galilean moons were discovered in either 1609 or 1610 when Galileo made improvements to his telescope, which enabled him to observe celestial bodies more distinctly than ever.

Which of the following claims does the excerpt make about changes that occurred as a result of new interactions in the atlantic region
Answer:B Europrans developed new methods of conducting trade and making profit.

Answers

The statement that in excerpt explains changes that occurred as a result of new interactions in the Atlantic region

B. Europeans developed new methods of conducting trade and making profits.

What is the Atlantic region?

The ocean of Atlantic borders the Europe, Africa, and the Americas and serves as imporant link during colonization of African and American by the Britain.

However, the statement that in excerpt explains changes that occurred as a result of new interactions in the Atlantic region is thet the Europeans developed new methods of conducting trade and making profits.

Therefore, the Option B is correct.

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Based on the excerpt, the changes that occurred due to new interactions in the Atlantic region is that: Europeans developed new methods of conducting trade and making profits.

What is trade?

Trade can be defined as a strategic process that typically involves the buying and selling of goods and services between a producer and the consumers at a specific period of time in a particular geographical region or country.

Historically, European economies were greatly transformed by the Atlantic economy in the early Sixteenth century and as such they had to developed new methods of conducting trade and making profits from their sales.

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Epa scientists performed an experiment where coal was burned in different chambers at varying temperatures to see how temperature impacts the amount of n*o_{2} produced by coal combustion explain how the results of the study would be expected to change if the same experiment were repeated with natural gas

Answers

Natural gas only produces thermal oxides of nitrogen while coal produces both thermal and fuel oxides of nitrogen.

Nitrogen oxides

The oxides of nitrogen are one of the products of the combustion of fossil fuels. Fossil fuels include; natural gas, coal and petroleum. All these are able to produce oxides of nitrogen when burnt.

However, natural gas only produces thermal oxides of nitrogen while coal produces both thermal and fuel oxides of nitrogen.

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What island country may be first to be completely covered by water?


Somalia


Tuvalu


Chad


Indonesia

Answers

Tuvalu because they are 0.2 inches under water

Stacia buys 6 yards of ribbon to make a costume. She has 2 feet of ribbons left over. How many feet of ribbon did Stacia use to make the costume? Explain your work.

Answers

The quantity of ribbon Stacia used to make the costume is 16 feet

Conversion of yards to feet

1 yard = 3 feet

6 yards = 18 feet

Total ribbon Stacia bought = 6 yards = 18 feetRibbon left over = 2 feet

Quantity of ribbon Stacia used to make the costume = Total ribbon Stacia bought - Ribbon left over

= 18 feet - 2 feet

= 16 feet

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Calculate the third longest wavelength in the balmer series

Answers

Answer:

wavelength, longest wavelength we've linked transition in the Obama series. Okay, bomber series of atomic hydrogen. So for the Obama series we have an initial equals to this is the fix for the Obama series. Okay. And using the red bird formula, we can ride that wave number new bar or one by lambda. It is equals two red bird number and bracket won by an initially square minus one by and final square. And for the longest wavelength this and final must be minimum. Okay, So that this value comes out to be maximum. And we get this uh wave number. Okay, So We from here and final can be written as three. Okay, this is the minimum above the two. So we can substitute. So we get wave number. It is equal to read book number which is 1.97 Multiplied by 10 to the power seven and one by an initial which is too. So it won by two square, whereby one buyer three square. Okay, so from here, after solving, we will get that the wave number. It is equal to 1.97 multiplied by 10 to the power seven. And from here, after solving, we will get that five by 36. Okay, so from here, after solving for the wave number, it is equal 1.5-3, manipulated by 10 to the power six meter universe. Okay, this is the answer for this question. Okay, thank you.

The accompanying diagram represents the human
male reproductive system.
Which pair of letters indicates a structure that
produces gametes and a structure that makes
possible the delivery of gametes for internal
fertilization, respectively?
A. A and D
B. B and A
C. C and A
D. D and C

Answers

Answer:

I think A and D

what is earth's energy budget and why is it important

Answers

Earth's energy budget is vital in establishing the Earth's climate. When the energy budget balances, the temperature on the Earth stays relatively constant, with no overall increase or decrease in average temperature

Department of agriculture

Answers

Answer:

The department of agriculture is the U.S. federal agency in charge of making laws relating to food and farming industries.

A criminal defense attorney is scouring over a case file in the hopes he will find evidence that his client is innocent of the crime for which he is being charged. After looking at a medical evaluation, he decided to claim innocence based on a lack of evidence related to Mens Rea. What does this mean?

The attorney doesn’t think there is proof that a crime was even committed.

The attorney doesn’t think there is proof that his client actually committed the crime.

The attorney doesn’t think there is proof that his client acted alone during the crime.

The attorney doesn’t think there is proof that his client was in his right state of mind at the time.

Answers

Answer:

Its, The attorney doesn’t think there is proof that his client was in his right state of mind at the time. let me explain.

Explanation:

Mens rea means a state of mind to commit a crime, since he was looking at a medical evaluation, this conclusion is valid. Therefor the answer is the last one

if God told us to love everyone, even people we hate, wouldn't that make love meaningless? ya, I mean it just doesn't make sense to me, because that means love has no purpose in the world, because if we love everyone what is the difference between that love and what type of love we give our partners? like we all can't live in kumbaya. so please explain how that makes sense.

Answers

“My command is this: Love each other as I have loved you. Greater love has no one than this: to lay down one's life for one's friends.”

The people of the Indus Valley were able to grow more crops by_____________.
A) making war on neighboring settlements and taking their land
B) planting seeds very deeply where there was moisture
C) irrigating the dry areas
D) making roof gardens

Answers

Answer:

D) making roof gardens

Explanation:

Hope this helps!

Define incrementalism and list 4 features

Answers

Answer:

belief in or advancy of change by degrees; gradualism.

1) civil rights

2) racial equality

3) womens voting rights

4) gay rights

Explanation:

basically a movement with a purpose

4. Changing World Technologies has built a pilot plant to
test a process it has developed for converting a mixture of
computers, old tires, turkey bones and feathers, and other
wastes into oil by mimicking and speeding up natural
processes for converting biomass into oil. If this recycling
process turns out to be technologically and economically
feasible, explain why it could increase waste production.
I

Answers

When  recycling process is technologically and economically feasible, It can  help lower energy consumption, lower water and energy use but it could increase waste production as more focus will be towards recycling and a lot of people will tend  to dispose things they don't need.

How does recycling benefit the economy?

Recycling is known to be a vital part of the U.S. economy. It is known to be a factor that has lead to more jobs, wages and government tax revenue.

The Economic and community benefits of this process is the increase of economic security through the use of  domestic resource, aiding American manufacturing and producing jobs in the recycling industries.

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