A rabbit runs across a parking lot The coordinates of the rabbit as a function of the time t x =-0.3t^2+7.2t+28 and y = 0.22 +² - 9.1t+ 30 with t in secs and x in metres At t=15s, what is the rabbit's position vector r in unit vector notation and as a magnitude angle​

Answers

Answer 1

Rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.

Given

x = 0.3t² + 7.2t + 28

y = 0.22t² - 9.1t +30

At t = 15s

x = 0.3(15)² + 7.2(15) +28 = 203.5

y = 0.22(15)² - 9.1(15) + 30 = -57

The rabbit's position vector (r) in unit vector notation is:

r = 203.5î - 57j

The magnitude of position vector (r)

r = √x² + y²

r = √(203.5)² - (57)² =√38163.25

  =  195.35m

The directional angle of position vector (r)

tanθ = y/x = -57/203.5

θ = [tex]tan^{-1}[/tex] (-57/203.5)

θ = 0.004°

Hence, rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.

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Related Questions

Which term is used to describe a patient's deep and rapid breathing pattern?

Answers

Answer:

Tachypnea is the term that your health care provider uses to describe your breathing if it is too fast, especially if you have fast, shallow breathing from a lung disease or other medical cause. The term hyperventilation is usually used if you are taking rapid, deep breaths.

Explanation:

Tachypnea is the term that your health care provider uses to describe your breathing if it is too fast, especially if you have fast, shallow breathing from a lung disease or other medical cause. The term hyperventilation is usually used if you are taking rapid, deep breaths.

When you're hot your blood vessels bring your blood closer to the skin. When this happens do your blood vessels get smaller or bigger?

Answers

Answer:

They are getting bigger, because it's a form of dilation.

Explanation:

Of the three Macronutrients (Carbohydrate, Protein, Fat), which provides the most calories per gram consumed?

Answers

Answer:

Fat has the most calories of all the nutrients: 9 calories per gram. In a healthy diet, about 30 percent of total daily calories should come from fat. This means eating about 50 to 80 grams of fat each day. Fat gives the body energy, too, but the body changes only about 10 percent of fat into glucose.

Understanding the behavioral norms for each age and stage of development is important for interpreting behaviors and the correct application of guidance strategies.

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I don’t know maybe I can get a hold of you

1. What causes morning sickness?
2. How long can Kim expect to have symptoms related to morning sickness?
3. What vitamins can she take to reduce the symptoms?
4. Is having a low-birth-weight baby likely to occur from common morning sickness?

Answers

Answer:

........................................

There’s no one cause of morning sickness during pregnancy, and severity varies among women. Increased hormone levels during the first few weeks of pregnancy is among the most common causes. Reduced blood sugar is another common cause of morning sickness.

Other factors can worsen morning sickness. These include:

having twins or triplets
excessive fatigue
emotional stress
frequent traveling
Morning sickness can vary between pregnancies. While you may have had severe morning sickness during one pregnancy, in future pregnancies it may be very mild.
had severe morning sickness during one pregnancy, in future pregnancies it may be very mild.

If you’re in the middle of this, you can probably attest to the fact that morning sickness definitely doesn’t just happen in the morning. Some people are sick all day, while others struggle in the afternoon or evening.

The term morning sickness comes from the fact that you might wake up queasier than usual after going the whole night without eating. But just 1.8 percent of pregnant women have sickness only in the morning, according to this study from 2000. Some medical professionals have started to refer to the group of symptoms as NVP, or nausea and vomiting during pregnancy.

If you’ve found yourself in the unfortunate group of people who have nausea all day, you’re not alone — and again, symptoms should let up as the first trimester concludes.

Vitamin k and vitamin c taken together may provide relief of morning sickness symptoms of some women.

Women with a severe form of morning sickness who take antihistamines to help them sleep through their debilitating nausea are significantly more likely to experience adverse pregnancy outcomes, including low birth weight babies and premature births

VL GA Patient Care Fundamentals
What foods may be included in a clear liquid diet? Check all that apply.
pudding
broth
fruit juice
liquefied cereal
tea

Answers

probably tea, fruit juice, and broth sorry if i’m wrong

how does every station has to control flood and landslide​

Answers

Answer:

Of course to be ready and aware to prevent any potential risk. To manage and control the outcome of disasters.

How i change the language??
Como cambio el lenguaje a españolll??​

Answers

tap on settings, then change the country, it should automatically set to language that you want/need. let me know if you need anymore help :)

Is Randy on or off the cheeseburgers?

Answers

Answer:

Frig off Jroc. Actually I'm off the cheeseburgers now

on......BDHWIABAVAIABAVAHJAJANABA

During what stage is growth more rapid than at any other stage?

Answers

Teen years is when growth happens the most

PLEASE HURRYYYYY!!!
1. All contraception prevents HIV. a. true b. false
2. All contraception is equally effective at preventing pregnancy a. true b. false

Please answer this quickly!!

Answers

Answer:

b

Explanation:

ignore this i have to put words to answer

Both of these are false!

All contraception does not prevent HIV, as HIV is spread through physical touch of genital areas and all contraception does not keep them from touching.

All contraception is not equally as effective.

Cyberbullying generally doesn't involve physical violence.
What does "physical" mean in this case?

Answers

Answer:

It basically means that no one is getting beaten up

Answer:

Hope this helps!

Explanation:

In this sentence "physical" means relating to the doing something with the body like fighting.

A is given to a player who is fouled within the four meter line while actively attempting to score. A. penalty shot B. home run C.timeout D. jump ball

Help Mee!!!​

Answers

Answer:

The correct answer is - Option A. penalty shot.

Explanation:

In the game of Water polo, there is a four-meter line and if a player fouled within this line while trying to score actively gets a penalty shot. Foul could be in form of swimming over the back of another player trying to score or hit the offensive player.

Water polo is a game played in a pool between two teams of swimmers. Other than a four-meter line there is also a two-meter line in the pool.

How can lending money ruin a friendship? When money isn't paid back, the person who loaned the money can feel resentment and anger toward the person who borrowed the money. The friend might take a longer time than expected in paying back the money, creating hardship for the person who loaned the money. You may lose trust in the person who borrowed the money and didn't return it. all of the above

Answers

Answer:

How can lending money ruin a friendship? When money isn't paid back, the person who loaned the money can feel resentment and anger toward the person who borrowed the money.

Explanation:

The friend might take a longer time than expected in paying back the money, creating hardship for the person who loaned the money. You may lose trust in the person who borrowed the money and didn't return it. all of the above

Answer:

When money isn't paid back, the person who loaned the money can feel resentment and anger toward the person who borrowed the money.

Explanation:

Reviewing Facts and Vocabulary
1. How does the skeletal system affect
other body systems?

Answers

The skeletal system works as a support structure for your body. It gives the body its shape, allows movement, makes blood cells, provides protection for organs and stores minerals. The skeletal system is also called the musculoskeletal system.

PLEASE ANSWER THIS QUESTION RIGHT.The most effective way to prevent pregnancy and STDs, including HIV, is to use
contraception consistently and correctly during sexual intercourse. *
O True
O False

Answers

False, abstinence is the most effective way to prevent all mentioned.

i think it's false haha

(paimon needs assistance >-<)
What is the standard format to use on all papers?
A. Times New Roman, font size 12, single spaced
B. Times New Roman, font size 10, double spaced
C. Times New Roman, font size 12, double spaced
D. Times New Roman, font size 14, single spaced

Answers

Answer:

C- MLA format

Explanation:

Times New Roman, font size 12, double spaced

Answer:

c mla format

Explanation:

lol

How will age affect a
patient ability to tolerate
a period of decreased
mobility ?

Answers

Yes age will affect you
Aging affects muscle mass and strength, bone density, and can make joints stiffer and less flexible due to reduction of cartilage thickness. As we age, muscles, bones and joints undergo physiological changes that affect mobility and which can ultimately impact our independence.

MEDICAL FORENSICS
please help me correct this question:)

Answers

Answer:

your answer is A. light

Explanation:

thanks for my question please mark as branlist

Answer:

hello

Explanation:

i think b.Comparsion

but not sure

have a nice day bye

why the normal respiration in adult (14-24) per minutes but in infant (24-34) per minutes? ​

Answers

Answer:

A normal respiratory rate depends on your age as a child, while an adult's rate is ... A normal respiratory rate in adults is roughly 12 to 16 breaths per minute. ... Normal values for vital signs exist for adults, but are often different for children, ...

Explanation:

2. Which of the following measures are not useful in eliminating
pest-breeding areas?
a. Cleaning out sink traps
b. Ensuring floors are dry and clean
c. Utilizing fly strips
d. Ensuring low relative humidity

Answers

Utilizing fly traps

Questions. what are the different types of rain​

Answers

Answer:

rain

drizzle

ice pellets(sleet)

hail

small hail(snow pellets)

snow

snow grains

ice crystals

I hope that helped.

Private health insurance is also called
A. individual insurance or non-group insurance.
B. VA Administration Insurance.
C. Schip Third-Party Payor Insurance.
D. Medicode insurance.

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Hiiiiii it’s c aka schip third -party payor insurance

Use of narcotic drugs over a long period time leads to the development of tolerance for the narcotic.

True or False

Answers

Answer:

True

Explanation:

the more yo do the more your tolrance bulds upan u need more.

It is true that Use of narcotic drugs over a long period time leads to the development of tolerance for the narcotic.

What is narcotic tolerance?Drug tolerance, also known as drug insensitivity, is a pharmacological term for a person's reduced response to a drug following repeated use. Increasing the dosage may re-amplify the drug's effects, but it also has the potential to accelerate tolerance, further reducing the drug's benefits.Heavy drinkers, for example, develop tolerance to alcohol (requiring them to consume larger amounts to achieve the same effect), yet excessive drinking can harm the liver, placing them at risk of intoxication even when only consuming small amounts.

learn more about tolerance here:

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2) Select the explanation of why logic is an art.
-Logic is synonymous with Philosophy.
-Logic has definite, empirical boundaries.
-Logic is largely unchanged since ancient times.
-Logic is learnable and applicable to everyday life.
-Logic defies clear-cut categorization and is influenced by human emotions.

Answers

Answer:

I think it should be 4 sentence

Explanation:

Logic defies clear-cut categorization and is influenced by human emotions.

You are caring for ER, a 28 year old female. She and her husband were having breakfast when she suddenly stopped responding to him. Her husband states, "She just stared into space and kept saying, ‘It’s like this, it’s like this, it’s like this.’" When her husband put his hand on her arm, she hit him. He called 911 and they are now in the emergency department and she is being evaluated for seizure disorder.

Required:
a. What kind of seizure might ER have had? Explain your answer.
b. What assessments and diagnostics will be used to rule seizure disorder in or out?
c. ER’s husband says, "It can’t be seizures. She didn’t fall on the ground and bite her tongue." How will you explain seizure disorder to ER and her husband?
d. If ER is diagnosed with seizures, what will you teach ER and her husband about managing her seizure disorder?

Answers

Explanation:

1. what ER is experiencing can be regarded as simple partial seizure. This is why, in this type of seizure she still maintained awareness. This kind of seizure can cause someone to act the way she did by staring into space and continuously repeating the same thing.

2. The assessments and diagnostics are:

neurological assessmentEEG test to see if there are changes in her brain activity, this test helps to diagnose brain conditions especially in people that suffer from seizures.other assessments and diagnostics are CT scan and MRI scan.

3. Her husband clearly thinks that all kinds o seizures are the same. because she did not fall fall or bite her tongue he doesn't think she had a seizure. He has to be educated to know that seizures are of different types and each of these types have different symptoms. He should know that people can lose consciousness in one type and not lose consciousness in  the other, they may even be able to talk, and remember things during the attack.

4. If she is diagnosed to have seizures, I am going to teach her  and her husband to manage the condition by;

encouraging her on how necessary it is for her to always take her medications as the doctor prescribed.i would tell her to make sure that she avoids whatever can trigger stress, anxiety and emotional disorder.They should do away with sharp objects in  the house during such episodes.Whenever symptoms present themselves, they should report immediately.

When does your body need insulin the most?
A. after eating a candy bar
B. after eating peanuts
C. after eating a grilled steak
D. after drinking water
E. after eating sunflower seeds​

Answers

Answer:

A. candy bar

Explanation:

gives you the highest amount of glucose

I would say A. Because the body needs insulin to process sugars.

Which of the following statements regarding adoption studies is false?
A.
Adopted children show some similarity in IQ scores.
B.
Siblings raised together have higher similarities in IQ than children raised apart.
C.
Unrelated children raised together show significant resemblance in IQ.
D.
In all instances, adopted children show higher IQ similarities than related children.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

I would say D not all children have a high IQ

Answer:

D. "In all instances, adopted children show higher IQ similarities than related children."

Explanation:

edge 2022

in 5 + 4 x 3 -9 which operation will do the last addition subtraction multiplication division what is the answer​

Answers

Answer: 12 x − 4

Explanation:

I need some help if you can answer please do thank you.!.!.!

Answers

it helps remove wastes. thus why we pee.
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