a) The velocity of a moving body is t2 - t metres per second after a time of t seconds. Find the displacement of the body at the end of 12 seconds if the initial velocity is 0 metres per second.​

Answers

Answer 1

Explanation:

The integral of a velocity versus time function is a displacement versus time function

So we integrate,

[tex] {t}^{2} - t[/tex]

The integral of that is

[tex] \frac{1}{3} {t}^{3} - \frac{ {t}^{2} }{2} [/tex]

Plug in 12 for t,

[tex] \frac{1}{3} (12 {}^{3} ) - \frac{12 {}^{2} }{2} [/tex]

[tex]576 - 72 = 504[/tex]

So the displacement is 504 meters to the right.

Answer 2

vf = 12² - 12 = 132 m/s

a = vf' = 2t-1

at t =12 s,

a = 2(12)-1 = 23 m/s²

vf²=vi²+2ad (vi=initial velocity=0)

vf²=2ad

132² = 2 x 23 x d

d = 378.78 m


Related Questions

How long does it take to produce a star?

Answers

Answer: From the moment the first gas cloud begins to compress until the star is formed and glows like the Sun, the process of star creation takes around a million years. Planets and other objects circle the central star using the remaining material from the star's formation.

Explanation:

Answer: Before the gas could disengage from the magnetic field and collapse, every ion in the gas would need to locate an electron to neutralize it. This implies that the formation of a star takes more than 10 million years.

Explanation:

Why is calcium chloride an ionic bond

Answers

Answer:

lonic compounds generally form between elements that are metals and elements that are nonmetals. For example, the metal calcium (Ca) and the nonmetal chlorine (Cl) form the ionic compound calcium chloride (CaCl2). In this compound, there are two negative chloride ions for each positive calcium ion.

Explanation:

Answer:Ionic compounds generally form between elements that are metals and elements that are nonmetals. For example, the metal calcium (Ca) and the nonmetal chlorine (Cl) form the ionic compound calcium chloride (CaCl2). In this compound, there are two negative chloride ions for each positive calcium ion.

Explanation:

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

See below ~

Explanation:

What is happening to each event as the climate changes? Temperatures are increasing, carbon dioxide levels are increasing, the pH of the ocean is decreasing, sea levels are increasing, and the amount of sea ice is decreasing.

Here are orders of answers from start

IncreasingIncreasingDecreasingincreasingdecreasing

The main reason behind these situations is global warming

The emmison of carbon dioxide has increased a lot which is getting harmful day by day

A pendulum is lifted to a height of 0.75 m. the mass of the bob is 0.2 kg. calculate the gpe at the top of the pendulum

Answers

GPE = mgh
GPE = 1.4715

Light travels at 3.0 × 108 m/s in a vacuum
(about the same in air) - how many km/h is
this?

Answers

We've got m/s, which is value of distance ÷ time

(distance/time)

3 x 10^8 is:

300,000,000m/s

1km = 1000m

1hr = 3600secs

So, divide 300,000,000m by 1000 to get in km & you get:

300,000km

Now divide this value by 3600 seconds to get it in km/hr

300,000km/3600 = 83.33333333

Thus, answer is 83.3km/h

Or

8.33 x 10^1 km/h (in standard form)

(doing 83.3 recurring multipled by 1000 & 3600 gets you back to original answer. So, 83.33333...x1000x3600= 300,000,000)

Hope this helps!

How can your physical health change with cardio activity? explain why.​

Answers

Answer:

Other benefits include:

Increases blood flow and decreases chances of stroke.Improves memory and thinking ability.Combats decline in brain functioning with age.Helps protect against developing Alzheimer's disease.Fights osteoporosis and reduces chances for a hip fracture.

Regular physical activity is one of the most important things you can do for your health. Being physically active can improve your brain health, help manage weight, reduce the risk of disease, strengthen bones and muscles, and improve your ability to do everyday activities.

Adults who sit less and do any amount of moderate-to-vigorous physical activity gain some health benefits. Only a few lifestyle choices have as large an impact on your health as physical activity.

Everyone can experience the health benefits of physical activity – age, abilities, ethnicity, shape, or size do not matter.

A student picks up four books from the floor, walks across the room through some distance with the book
at the same height and then keeps these books at the new place. In which of these sequence of actions
work is said to be performed ?

Answers

Work is performed while initially lifting books off the floor. The work is due to gravity.


Which event in the history of black holes happened after Einstein's theory of general
relativity was published in 1915?


A: John Michell coined the term “black holes.”

B: Pierre-Simon de Laplace mentioned the idea of black holes in a written work.

C: Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass.

D: John Wheeler concluded that if black holes did exist, light could not escape them.

Answers

Answer:

C: Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass.

Explanation:

Karl Schwarzschild correctly analyzed the relationship between the size of a black hole and its mass. The correct option is C.

What is Karl Schwarzschild's theory?

A black hole is an area of spacetime in which gravity is so powerful that nothing, not even light or other electromagnetic waves, can escape. According to general relativity theory, a sufficiently compact mass can bend spacetime to generate a black hole.

Karl Schwarzschild, a German physicist, was the first to "find" black holes. In 1915, he proposed a general relativity solution that was applicable to the simple (i.e., nonrotating, uncharged, and boring) example of a perfectly spherical object contained in otherwise empty space.

These suggestions are now known as the Schwarzschild radius and the singularity. Every item is allocated a Schwarzschild radius, which is determined by the object's mass. Gravity's behaviour begins to become strange within this radius.

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Calculate the molar mass of glucose

Answers

Let's calculate

[tex]\\ \rm\Rrightarrow C_6H_{12}O_6[/tex]

[tex]\\ \rm\Rrightarrow 6(12)+12(1)+6(16)[/tex]

[tex]\\ \rm\Rrightarrow 72+12+96[/tex]

[tex]\\ \rm\Rrightarrow 180g/mol[/tex]

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

Option D

Explanation:

The plant burning induces the rate of smokes It also releases carbon dioxide to air with additional to black smokes.As it's released to atmosphere the amount of CO_2 also increases.

Option D is correct

if a stone falls vertically downward from a roof 20m above the ground to a behicle 2m above the ground, the car is known as the________

Answers

Short answer: the car is the enemy of the falling stone.

What are challenges faced by both modern and ancient engineers?

Answers

Answer:

Climate Chrises

Explanation:

How do you break apart a
compound?
A. Chemical bonds must be broken,
B. Water must be added.
C. It must be physically separated.
D. The compound can be cut apart,

Answers

Answer:

B

Explanation:

Depends Mostly on bonds electrolysis can be used, chemical bonding like additional of water or by heating back to their elements.

A.
Compounds are made chemically by two pure substances whereas mixtures can be only separated physically

Read this article discussing the amount of time that people of various ages and education levels report spending on different technologies. Ask at least 12 of your adult friends and family members the same survey question. (The more people you ask, the better.) How do your survey results compare with the results in the article? What are some possible reasons your results might be different? When comparing the results, be sure to take into account the margin of error for the survey discussed in the article

Answers

The article is not found here but surveys are important because they are representative samples of a population.

What is a survey?

A survey is a useful tool based on population samples, which is used to make statistical analyses in a given investigation.

Differences in surveys are generally due to small sample sizes, which may lead to errors in the analysis of data.

In conclusion, the article is not found here but surveys are important because they are representative samples of a population.

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Select the correct answer from each drop-down menu. thermal energy moves from a to b by . heat transfer will continue until the liquid in b reaches temperature as the liquid in a.

Answers

The correct answer from each drop-down menu is thermal energy moves from A to B by conduction the heat transfer will continue until the liquid in B reaches the same temperature as the liquid in A.

What is a heat conductor?

Good thermal conductors have an atomic or molecular arrangement that has the property of transferring heat to nearby atoms or molecules until the entire object is in thermal equilibrium. To understand better, let's take a metal bar as an example, which is a good thermal conductor.

In this case, the  thermal energy moves from A to B by conduction the heat transfer will continue until the liquid in B reaches the same temperature as the liquid in A.

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Why is nuclear energy able to be used for practical purposes? the reactions are controlled to regulate energy output. the reactions are uncontrolled for maximum energy output. all of the products are fed back into the reaction to keep it going. all of the products are immediately removed to inhibit more reactions.

Answers

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output

What is nuclear energy?

Nuclear energy is the energy reaelesed during nuclear relations.

Nuclear energy is a clean form of energy which is available in enormous amounts.

Nuclear energy is is used practically for many energy requirements because the reactions are controlled to regulate energy output.

Therefore, the control of nuclear reactions make the use if nuclear energy possible.

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Answer: A or the reactions are controlled to regulate energy output.

Explanation: did it on edge!

how can electricity be stopped

Answers

Answer:

Insulators such as glass, mica, rubber or plastic used to coat metals and other conductors help stop or reduce the flow of electrical current. This helps prevent shock, fires, and short circuits.

Explanation:

We can expect the force of friction to be greater for an object moving on a surface if the surfaces in contact are

a) smooth and the object is heavier
b) smooth and the object is lighter
c) rough and the object is heavier
d) rough and the object is lighter ​

Answers

Answer:

c

Explanation:

Friction is caused by how rough and object is, and how much the object weighs, as this causes it to drag more.

If the scientific method was not used in forensic science at all, what do you think some potential problems could be?

Answers

Problems such as lack of evidence, major miscalculations, and unlawful punishments.

Emotional elevation only occurs in animal kin groups. please select the best answer from the choices provided t f

Answers

Emotional elevation can occur in individuals or in groups, therefore, it is false that emotional elevation only occurs in animal kin groups.

What is emotional elevation?

Emotional elevation is the process whereby the moods of individuals are elevated due to their interactions with others or due to other factors.

Emotional elevation can occurs in individual animals or those on animal kin groups.

Therefore, it is false that emotional elevation only occurs in animal kin groups.

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Answer:

F

Explanation:

Coffee or certain cola drinks can be used to test the effect of __________ on reaction time. What drug completes the sentence?

Answers

Answer:

"caffeine"    both products contain this compound

which best describes why a diamond ring will sometimes sparkle different colors in normal white light?

Answers

Answer:
Refraction

Explanation:
This is due to the fact that only a portion of the light hitting a diamond is reflected; the rest travels through it. As the light moves through the diamond, it is scattered and fractured, creating the sparkle that diamonds are known for. This is the refraction.

Hope this helps!
Please give Brainliest!

Which of the following summarizes cellular respiration?

Oxygen reacts with glucose to produce carbon dioxide and water, and release energy.


Light energy is changed into chemical energy.


Light energy is used to join water and carbon dioxide to make oxygen and glucose.


Chemical energy is changed into light energy.

Answers

The statement which summarizes cellular respiration is Oxygen reacts with glucose to produce carbon dioxide and water, and release energy.

What is cellular respiration?

Cellular respiration is the process by which food, in the form of glucose is transformed into energy within cells.

The food is prepared by the plants by the process of photosynthesis in presence of sunlight. This food is in the form of glucose.

The respiration of plants is done by breaking of glucose by absorbing oxygen. This produces  carbon- di- oxide and water along with the release of energy.

Thus, the cellular respiration is oxygen reacts with glucose to produce carbon dioxide and water, and release energy.

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what is an example of digital signals?

Answers

Examples of digital signals are Computers, Digital Phones, Digital pens, etc.

What is signal?

Signal is defined as an electromagnetic wave that carries information through a medium. In this, the data is converted into electromagnetic signal which may be analog or digital and then sent from sender to receiver.

Signal which are discrete are known as digital signals.

Examples of digital signals are Computers, Digital Phones, Digital pens, etc.

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Answer:

Examples of digital signals are Computers, Digital Phones, Digital pens, etc.

A digital signal is a signal that represents data as a sequence of discrete values. A digital signal can only take on one value from a finite set of possible values at a given time. With digital signals, the physical quantity representing the information can be many things: Variable electric current or voltage.

Which answer correctly describes the grey lines in this Hering illusion? (Optical Illusions Lesson)

A close-up of a fanDescription automatically generated with low confidence



Question 1 options:

The grey lines are bent.


The grey lines are straight.


The grey lines are curly.


The grey lines are a figment of my imagination.

Answers

Answer: The grey lines are bent.

Explanation: The grey lines are bent.

The answer that correctly describes the grey lines in this Hering illusion is "The grey lines are bent." Option A. This is further explained below

What is the Hering illusion?

The Hering Illusion is one of several illusions in which a major component of a basic line picture is obscured.

In conclusion, The statement for the grey lines in this Hering illusion is "The grey lines are twisted.".

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The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32. 2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass? F = 16. 1m F = F equals StartFraction 16. 1 Over m squared EndFraction. F = 32. 2m F = F equals StartFraction 32. 2 Over m squared EndFraction.

Answers

Answer:

F = 32.2 m

Explanation:

F = ma

F = m * 32.2

An ammeter is a device that measures _____.

the type of charge on a resistor
the current through a resistor
the voltage across a resistor
the potential of the battery

Answers

B. The current through a resistor. An ammeter can measure a wide range of current values because at high values only a small portion of the current is directed through the meter mechanism; a shunt in parallel with the meter carries the major portion.

Which of these is described as force per unit charge on a positive test charge?
OA test charge
OB. source charge
OC. electric force
OD. electric field
OE electric current

Help!

Answers

Answer:

Sorry if im late

The answer is Electric field (D)

Explanation:

The electric field is thought of as the force per unit positive charge that can be exerted before the field is disturbed by the presence of a test charge.

hope this still helped :)

~rere

Answer:D

Explanation:

I have answer key

If you want to minimize the amount of current drawn from the solar panel supply, what resistor value should you use for the line resistor (Rline) from your inventory of resistors and why

Answers

To minimize the energy loss due to over heating of the solar panel use resistors in parallel arrangement.

Energy loss in a circuit

The amount of energy dissipated in a circuit is determined using the following formulas;

P = I²Rt

where;

I is the currentR is resistancet is time

Thus, to minimize the energy loss due to over heating of the solar panel use resistors in parallel arrangement.

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What is the surface area for a rectangular prism with the height of 6 inches, width of 8 inches, and the length of 4 inches

Answers

Answer:

208 is the surface area!

Explanation:

Hope this helps! ;-)

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