A particle moves along x axis and its displacement at any time is given by x(t)=2t^3-3t^2-4t in SI Units.The velocity of the particle when its acceleration is zero is?​

Answers

Answer 1

Answer:

The velocity is - 5.5m/s

Explanation:

Given

[tex]x(t) = 2t^3 - 3t^2 - 4t[/tex]

Required

The velocity when acceleration = 0

First, calculate the velocity (v)

[tex]v = x'(t)[/tex]

[tex]x(t) = 2t^3 - 3t^2 - 4t[/tex] --- differentiate

[tex]x'(t) =6t^2 - 6t - 4[/tex]

So:

[tex]v(t) =6t^2 - 6t - 4[/tex]

Next, calculate acceleration (a)

[tex]a = v'(t)[/tex]

[tex]v(t) =6t^2 - 6t - 4[/tex] --- differentiate

[tex]v'(t) = 12t - 6[/tex]

So:

[tex]a(t) = 12t - 6[/tex]

From the question acceleration = 0

So:

[tex]a(t) = 12t - 6 =0[/tex]

[tex]12t - 6 =0[/tex]

Solve for t

[tex]12t = 6[/tex]

[tex]t = 6/12[/tex]

[tex]t=0.5[/tex]

Substitute [tex]t=0.5[/tex] in [tex]v(t) =6t^2 - 6t - 4[/tex] to get the velocity

[tex]v(0.5) = 6 * 0.5^2 - 6 * 0.5 - 4[/tex]

[tex]v(0.5) = -5.5[/tex]


Related Questions

Critical Thinking Why do you think that eating
disorders are classified as mental disorders? Do
you agree with this classification? Explain

Answers

Answer:

yeaaa

Explanation:

Eating disorders are mental illnesses in which the people experience severe disturbances in their eating behaviors and related thoughts and emotions. People with eating disorders typically become pre-occupied with food and their body weight.

basically they see something wrong with the way there body looks and almost all the time its in there head, which is why i would call it a mental disorder

If you drink a soda from the vending machine and the food label states that one serving is 100 calories and there are 2 1/2 servings in the bottle, how many calories will you consume?

Answers

Answer:

250

Explanation:

100 x 2 1/2

Which best describes how cells develop in the body?

When a zygote divides, each cell already has the specialized function.
The zygote contains all the cell types needed to make a functioning organism.
The umbilical cord sends the specialized cells to the zygote where it grows into an embryo.
All the cells start out the same and eventually specialize into different cell types.

Answers

Answer:

All the cells start out the same and eventually specialize into different cell types.

Explanation:

this seems like the best answer

Answer:

The zygote undergoes a process known as mitosis, in which it replicates its chromosomes (which carry each parent's DNA) and then divides, resulting in two identical cells. These cells are called totipotent and have the ability to develop into a new organism.

Explanation:

PLEASE HELP!!!!!



1. Consider the fact that cancer is most easily defeated when it is found early, and then consider the time and expense involved in diagnosing a potential case of cancer.

Answers

Answer:

Explanation:

For example, studies in high-income countries have shown that treatment for cancer patients who have been diagnosed early are 2 to 4 time

4. Which describes the role of a social worker?

Answers

Answer:

Social workers are responsible for helping individuals, families, and groups of people to cope with problems they’re facing to improve their patients’ lives.  

Explanation:

- to listen, judge, and correct people with emotional problems

- to prescribe medications for emotional problems

- to hold group sessions for those with social issues

- to listen and advise people about sources of help in the community

HELPPP!!!!!!!!!!!!!!!!!!!!!! DUEEEEEEEEEEE ASAP!!!!!!!!!!!!!!!!!!
1. The excerpt is best understood as a response to which of the following historical developments?

“The agitation on the subject of Slavery, now raging through the breadth of the land, presents a most extraordinary spectacle. Congress, after a protracted session of nearly ten months, succeeded in passing a system of measures, which are believed to be just to all parts of the Republic, and ought to be satisfactory to the People. The South has not triumphed over the North, nor has the North achieved a victory over the South. Neither party has made any humiliating concessions to the other.”

-Source: Senator Stephen A. Douglas, in a speech, 1851



the passage of the Compromise of 1850

the creation of the reservation system in the West

the end of the Mexican-American War

the sale of land in the Midwest at a low cost

Answers

Answer:

....

Explanation:

what are causes of stroke​

Answers

Answer:

a blocked artery leaking or bursting of a blood vessel

Explanation:

Answer:

blocked artery or bursting blood vessels

Describe the role phytochemicals and antioxidants play in nutritional health, and identify foods high in these compounds?

Answers

Answer:

Antioxidants protect your body's cells from free radicals — unstable molecules created during normal cell functions. Pollution, radiation, cigarette smoke, and herbicides also can create free radicals in your body. Free radicals can damage a cell's genetic parts and may trigger the cell to grow out of control.

Pls answer the question 50 points. Pls answer

Answers

ALTERNATIVE MEDICINE.

DIET/BODY WEIGHT.

DISEASE IN THE DEVELOPING WORLD.

EATING DISORDERS/OBESITY.

FOOD/FOOD SCIENCE.

METABOLISM/METABOLIC DISEASES.

NEUROBIOLOGY.

NUTRITION/NUTRIENTS.

Section 1 - Question 6
Which statement best describes a step in the grooming process?
A
Earning the trust of a potential victim.
B
Lying about your age to appear older or younger.
C
A person who behaves abnormally.
Harassing someone based on gender or age.

Answers

Answer: B is one of the best awnsers

Explanation: A stranger in a store might lie about their age to make you feel more comfortable around them and therefore try to get close to you. Other cases could occur online which leads to bigger issues of “catfishing.”

The statement that best describes a step in the grooming process is earning the trust of a potential victim. The correct option is A.

What is grooming process?

A child or young person is groomed when someone establishes a friendship, trust, and emotional connection with them in order to control, take advantage of, and abuse them.

Groomed kids and teens run the risk of experiencing intimate abuse, exploitation, and trafficking.

Style and discipline come together to make up grooming. For a variety of reasons including personal, social, health, psychological, or just as a matter of everyday living meaning maintaining personal cleanliness is important.

The following actions may be among the steps:

locating and aiming for the victim.gaining access and trust.playing a part in the life of the child.isolating the youngster.Keeping the relationship a secret.putting the first intimate move.governing the partnership.

Thus, the correct option is A.

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Using a punnett square, what is the probability of a pure bred hamster with light fur, and a pure bred hamster with dark fur, of having offspring with light fur

Answers

It depends on which trait is dominant. Whichever trait is dominant will be the heterogeneous trait carried by 100% of the offspring.

Which is an example of a general warm-up?
O jogging slowly before a running exercise
• a whole body flexibility set of exercises
O push-ups
• slow punches

Answers

Answer:

slow punches is the answer

Explanation:

All the other ones are a start of a workout or a full workout in general. Slow punches would be taking it slow but still warming up your arms/ hands/ fists for the main workout of that body part...

I hope it helps!

In my opinion I think the answer is “jogging slowly before a running exercise” would be the answer because slow jogging gets blood moving and loosens you up, just from experience

What term describes the characteristics of symptoms that occur when an addict suddenly stops using a drug?

Answers

incoherent
Would be a term to describe an addict in withdrawal

How is an Astrocytoma cell different from a normal cell?

Answers

Answer:

An astrocytoma is a tumor that arises from the star-shaped cells (astrocytes) that form the supportive tissue of the brain. Other supportive cells of the brain include oligodendrocytes and ependymal cells. Collectively, these cells are known as glial cells and the tissue they form is known as glial tissue.

Explanation:

An astrocytoma is a tumor that arises from the star-shaped cells (astrocytes) that form the supportive tissue of the brain. Other supportive cells of the brain include oligodendrocytes and ependymal cells. Collectively, these cells are known as glial cells and the tissue they form is known as glial tissue.

discuss the effect of emotional stress quality of as a new student in University​

Answers

Psychological effects of stress

Depression. Anxiety. Problems with cognitive functioning (being unable to concentrate or learn as well as you normally would) Changes in behavior, such as being irritable, angry, hostile, frustrated, or withdrawn

Each student at State college has a student I.d number consisting of eight digits ( the first digit is nonzero, and digits may be repeated) followed by two of the letters A,B,C,D,and E (letters may not be repeated). How many different student numbers are possible

Answers

Answer:

1,800,000,000 ways

Explanation:

Given

[tex]Digits: 8[/tex]

[tex]Alphabets: 2[/tex]

Required

Number of ways of selection

From the 8 digits; the first must be nonzero (i.e. any of 1 - 9).

There are 9 ways of selecting this:

The other 7 digits could be any of the 10 digits and there may be repetition.

Each of the digits can be selected in 10 ways. So, the number of ways of selecting the 7 digits is: [tex]10^7[/tex]

For the alphabets:

The first can be selected from the [tex]5[/tex] letters while the second can be selected from the remaining [tex]4.[/tex]

So, the number of ways the alphabets can be selected is: [tex]5 * 4[/tex]

Total number of selection is:

[tex]Selection = First\ Nonzero* The\ 7\ other\ digits\ * The\ alphabets[/tex]

[tex]Selection = 9* 10^7 * 5 * 4[/tex]

[tex]Selection = 1800000000[/tex]

PLS HELPPP! Compassion means that you understand what other people are feeling. How can conpassion help you to solve a disagreement?

Answers

Answer:

compassion can solve an argument because, you are calm and understanding of what the other person is trying to say

Explanation:

It is important to remember that a healthy weight for your body can be maintained through healthy eating and exercise
habits.
True
False

Answers

This is absolutely true you need to eat and exercise to keep your weight at a healthy level.

Answer:

True :))

Explanation:

I took the quiz

What is medical code P61.4

Answers

Answer:

P61. 4 - Other congenital anemias, not elsewhere classified | ICD-10-CM.

Explanation:

P61. 4 - Other congenital anemias, not elsewhere classified | ICD-10-CM

माह
Complete the text with the correct foreign expression.
the branch of medicine
Kimberly recently decided to specialize in hematology,
concerned with blood and blood-related illnesses.
e.g.
et al.
etc.
i.e.

Answers

E.g 6666666666666666666666666666666

Discribe the various nursing
Organisations in Ghana.​

Answers

Answer:

cvndjkvjukcsdjb

Explanation:

fefwwioejfnjoiker

You have watched your father run a successful catering business for many years in the hope that one day he would hand that business over to you—and that day has arrived. What technical skills have you watched your father demonstrate over the years that have allowed him to deliver quality food service? Describe these skills, how he demonstrated them, how they contributed to his success, and how you will continue these skills for continued success.

Answers

Answer:

Explanation:

Catering directors have complex jobs that require wide-ranging skills. Food and beverage knowledge, business skills, and people skills. It’s a fast-paced job that isn’t for the faint of heart—when the ingredients for a feast aren’t in the food delivery, finding a solution is the catering director’s responsibility.

Read on to learn what a catering director does during their workday (and night!), how much they make, and the essential skills of an outstanding catering director.  

The major cellular components in lymph are: White blood cells Red blood cells Platelets Protein molecules

Answers

Answer: white blood cells

List three healthy and three unhealthy fats and oils?

Answers

Answer:

Healthy: avacados, eggs, cheese

Unhealthy: butter, shortening, salt

Explanation:

Answer:

Healthy( virgin olive oil, trans fat, carbohydrates) Unhealthy ( saturated fat, vegetable oil, sodium)

Explanation:

have a nice day!! hopes this helps I bad hard time

What types of organizations were prachanda gorkha and prajaparisa?​

Answers

Answer:  The Nepal Praja Parishad

Explanation: The Nepal Praja Parishad (Nepali: नेपाल प्रजा परिषद) was the first attempt to form an organization to lead the revolution against the Rana dynasty in Nepal. Led by Tanka Prasad Acharya, the group was founded in 1936 and is seen as the first political party in Nepal. The organization collapsed after its plot to assassinate multiple members of the Rana regime was discovered, and some of its key members were executed.

I work at what I like.
I enjoy work/school.
I prepare early for stressful meetings/events.
I participate in group activities I like.
I have a good support network of friends and family.
I can easily relax when I want to.
I can easily express my thought

Answers

Good job I’m so proud of you

Sociology

What are the 5 “rulers” of social media?

Answers

Heyy how are you doing mane can I have a follow

Answer:

rulers or rules

Explanation:

the five rules are

Be a social butterfly

Don’t attempt to be the prom queen; strive to always be authentic and care about others.

Play nicely.

Ignore some people.

Have a plan.

identify the two location for your hands on the steering wheel

Answers

Answer:

at ten and two.

Explanation:


Micronutrient needs in adulthood vary by gender, and menstruating females require more of which of the following?
A Iron
B) Phosphorous
C Chloride
D) Potassium

Answers

The answer is : A- iron

A micronutrient is a dietary component required by the body in smaller quantities. The menstruating females need more amount of iron in their diet. Thus, option A is correct.

What are micronutrients?

Micronutrients are the elements including the minerals and the vitamins that are required in small proportions by the body for fitness, wellness, growth, and disease prevention.

Iron, manganese, copper, zinc, boron, chlorine, and molybdenum are seven micronutrients that are required in small quantities by the body for growth and development.

During menstruation, the female body losses blood resulting in iron deficiency as iron is the component that makes the blood cells. It should be balanced in the diet to avoid diseases like anemia.

Therefore, option A. menstruating woman needs iron in their diet is correct.

Learn more about micronutrients here:

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what is the connection between family nurturing and the well-being of society?

Answers

Answer:

Explanation:In general, then, evidence from the developed world suggests that children are most likely to flourish economically, socially, and emotionally when they are raised in an intact, two-parent family, a family structure that is most likely to be forged within the shelter and stability afforded by the institution.

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