The position of an object with respect to time, moving along the x-axis is given by x = b t3. Calculate the acceleration of the object if b = 3 m/s3.

Answers

Answer 1

Answer:

The acceleration of the object measured in [tex]\frac{m}{s^{2}}[/tex], as a function of time is equal to:

[tex]a = 18\cdot t[/tex]

Explanation:

The acceleration function is obtained by deriving position function twice:

[tex]a = \frac{dv}{dt} = \frac{d^{2}x}{dt^{2}}[/tex]

[tex]x = 3\cdot t^{3}[/tex]

[tex]v = 9 \cdot t^{2}[/tex]

[tex]a = 18\cdot t[/tex]

The acceleration of the object, measured in [tex]\frac{m}{s^{2}}[/tex], as a function of time is equal to:

[tex]a = 18\cdot t[/tex]


Related Questions

A drive is driving a car at 36 km per hour. When he applies brake they cause a deceleration of 3 ms-2. If he takes 1s to apply the brakes ______is the distance travelled by the car during this period
A)16.67m
B)16m
C)21.75m
D)15

Answers

Answer:

I would say 16m because of the power some brakes have say if you were to be going at 100 miles it would stop in about 3 seconds.

How much net force is required to accelerate a 50.00kg mass at 4.00 m/s^2

Answers

Answer:

Explanation:

F = m*a = 50 * 4 = 200 N

The beginning of a river is called the
mouth
source
watershed
tributary

Answers

Answer:

head of water or mouth

Explanation:

hope this helps

Answer:

The beginning of a river is called the source.

Explanation:

I got this correct on oddyseyware

Jane is standing directly behind Kevin.

Would Jane be able to attract Kevin's attention by just staring at him?

Yes/ No ...................................

Explain your answ

Answers

Answer:

NO

Explanation:

It is just impossible to know if someone is staring at you while they are standing behind you. UNLESS they turned around OR was able to see them though a mirror of some sort. :)

if someone feels intent on fighting with you, what should you do to prevent getting into a fight?

Answers

Answer:

avoid verbal argument and walk away

Why is it important to study rocks?

Answers

Answer:

It is imjportant to study rocks because geology gives an untouvhed pice of our history. Rocks can tell about our past, whether it is weather, animals, plants, tools, climate, or anything else, rocks can help solve world problems.

what is the difference between transverse wave and longitudinal wave?

Answers

Answer:

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

which of the following us a surface phenomenon​

Answers

Answer:

Evaporation

Explanation:

Evaporation is a surface phenomenon as the molecules of the surface gets sufficient energy to overcome the force of attraction which will help in converting to the vapor phase.

Walt ran 5 kilometers in 25 minutes going eastward what is his average velocity

Answers

Answer:

1/5 km/min

Explanation:

the formula for velocity is distance/time

so if i plug in the distance and time i get 5/25 or 1/5

Hope this helps!

What is one energy conversion that doesn’t help.


What is the most significant factor in determining kinetic energy?

Answers

Answer:

Mechanical energy is the total energy of the body is made up of scientific energy and potential synergy, these two can be converted into one another without needing help.

The most determining factor of kinetic anergy is speed since it is squared

Explanation:

Mechanical energy is the total energy of the body is made up of scientific energy and potential synergy, these two can be converted into one another without needing help. Kinetic energy is the energy of movement, increasing the speed of the body increases the kinetic energy.

The energy powers an energy from the system configuration when changing to a lower energy configuration this is converted into mechanical energy.

The most determining factor of kinetic anergy is speed since it is squared

Una lancha sube y baja por el paso de las olas cada 3.2 segundos, entre cresta y cresta hay una distancia de 24.5 m. ¿cual es la rapidez con la que se mueven las olas?

Answers

Answer:

7.656 m/s

Explanation:

El sonido viaja a cierta velocidad y tiene una frecuencia y longitud de onda. La relación entre la velocidad del sonido (V), su frecuencia (f) y la longitud de onda (λ) es la misma que para todas las ondas, está dada por la ecuación:

V = fλ

pero f = 1/T

∴ V = λ/T

donde T es el período

Dado que:

período (T) es el tiempo necesario para subir y bajar = 3.2 s

La distancia entre dos crestas es la longitud de onda (λ) = 24.5 m

V =  λ/T = 24.5 / 3.2 = 7.656 m/s

V = 7.656 m/s

Which action can be explained by physics?

Answers

Answer:

Actions that underlie mathematical rules, patterns or probability distributions.

For example how fast something falls at any given point or time.

More complex actions, such as human decision making in single individuals would be way too complicated to describe in physical terms.

But note that there can be physical models of such things as traffic when we can assume statistical knowledge of behavior.

Also physical models are used to plan such things as emergency exits in big stadiums, because many thousands of people can be described as particles flowing under a given pressure.

Every time we can gain good statistical knowledge and can therefore see patterns and rules in action, we can build theoretical models to make predictions and simulations (and games btw)

Since it's fair to say that mathematics is the science of patterns, it is plausible that physical descriptions often come in mathematical formulations, so that it can be understand as an efficient language of physics.

Neighboring disciplines like chemistry relay on physical theories to build on them,and then add shortcuts to fit their needs and interests, generating an own language for their field of study. But physicists may refer to them as anadd-on to physics.

Physics can basically explain all actions wich you can express in numbers.

But note that on a fundamental level physics describes 'how' things work, not necessarily 'why' they do it this way. The source of the basic and most fundamental physical constants and rules remains a mystery till this day.But of course there are theories on that as well, wich mostly can neither be proved or falsified.

The text is my own work and based of my general knowledge and quintessence of lectures on physics and other fields I attended.

(I would really appreciate the brainliest)

What part of the Milky Way allows for determination of its rotational direction? A. Celestial body B. Galactic body C. Galactic disk D. Two long tails

Answers

Answer: C. Galactic disk

Explanation:

The part of the Milky Way which allows the determination of it rotational direction is known as the Galactic disk. This disc are shaped because they contain gases which are rich and dynamically young. It is also a part of a group of a galaxies disc is a component of disc galaxies, known as spiral galaxies and lenticular galaxies.

Answer:

Galactic disk

Explanation:

Galactic disc's are composed mostly of the galaxy's stars and a gaseous component mostly composed of cool gas and dust. The stellar population of galactic discs tend to exhibit very little random motion with most of its stars undergoing nearly circular orbits about the galactic center. This circular orbit maintains the galaxy's rotation momentum.

Balance the following chemical equations

Answers

Answer:

Enter an equation of a chemical reaction and click 'Balance'. The answer will appear below

Always use the upper case for the first character in the element name and the lower case for the second character.

To enter an electron into a chemical equation use {-} or e

To enter an ion specify charge after the compound in curly brackets: {+3} or {3+} or {3}. Example: Fe{3+} + I{-} =...

Substitute immutable groups in chemical compounds to avoid ambiguity. For instance equation C6H5C2H5 + O2 = C6H5OH + CO2...

Explanation:

Describe how energy from the sun interact with substances

Answers

Answer:

substances will move faster and become warm to the touch.

Explanation:

when the radiation from the sun comes down and hits substances, the substances absorbs the radiation making them warm. the absorbed energy is transformed into heat energy. this heat energy plays an important role in regulating the temperature of the Earths crust, surface waters, and low atmosphere.

Both X-rays and gamma rays have higher frequencies than ultraviolet rays
True or False

Answers

Answer:

i believe its True

Explanation:

I’m pretty sure the answer is true

2. Two children play a game of catch, running back and forth to catch each throw from the other. Assume the children are standing 5m apart with one child standing at the origin before the game begins.

The ball makes the following motions:

5 meters right, 8 meters left, 3 meters right, 6 meters left, 15 meters right, and 4 meters left.


Part A:
Calculate the total distance traveled by the child on the left.

Part B:
Calculate the total displacement of the child on the right.

Answers

Answer:

Part A: 24 m

Part B: 9 m

Explanation:

Part A:

The children takes turns so the child on the left moves with when the ball moves 5 meters right, 3 meters right, 15 meters right, while the child on the right moves with when the ball moves 8 meters left, 6 meters left, 4 meters left

The total distance traveled by the child on the left is given by the relation;

Initial position of the child on the left = 5 m

First motion of the child on the left = Distance to origin + first distance ball moved

∴ First motion of the child on the left = 5 + 5 = 10 m location of child = 5 m left

Second motion of the child on the left = location of child - position of the ball = 5 - (5 - 8 + 3) = 5 m left location of the child = 0 m

Third motion of the child on the left = location of child - position of the ball = 0 - (6 - 15) = 9 m right

Total distance traveled by the child on the left = 10 + 5 + 9 = 24 m

Part B:

First motion of the child on the right = Distance of child to origin + second position of ball

Initial location of the child on the right = 0 m

∴ First motion of the child on the right = 0 + (5 - 8) = -3 m location of child = 3 m left

Second motion of the child on the right = location of child - current position of the ball = 3 - 6 = -3 m left location of the child = -6 m

Third motion of the child on the right = location of child - position of the ball = -6 - 5 = 11 m right

Final location of the child on the right = 9 m right

Total displacement of the child on the right = Final location of the child on the right - Initial location of the child on the right 9 - 0 = 9 m.

which characteristics are common to amphibians, lemurs, and humans?

vertebrae, tetrapod, hair
amniotic egg, hair, biped
tetrapod, vertebrae
tetrapod, hair

Answers

Let's see what these words mean:

Vertebrae means a backbone as well as an internal skeleton

Hair is the body's way of creating a defense for the skin (and additionally to look bigger)

Tetrapod is a four footed animal

Amniotic egg means that the embryo develops inside an egg.

Biped means using two feet to walk.

Amphibians, lemurs, and humans both have vertebrae and tetrapod. While humans do not walk on four legs it is said that humans are classified as that group

Answer:

A small, lemur-like creature may have been an early ancestor of monkeys, apes, and humans.

Explanation:

An ant is on the pendulum bob of a clock. What would be its displacement in one time period?

Answers

Answer: the displacement is 0

Explanation:

Displacement is defined as the difference between the final position and the initial position.

now, one time period is defined as the time that the pendulum needs to do a full cicle (so after one time period, the position of the pendulum returns to the same place) this means that the final position and the initial position is the same, then the displacement is 0.

how is a runoff created

Answers

Answer:

Runoff occurs when there is more water than land can absorb

8a.The mass of a girl is 40 kg. Calculate her weight. (g = 9.8 m/s)

b.The weight of a stone is 98 N. Calculate its mass. (g = 9.8 m/s)​

Answers

Explanation:

Here,

Given,

Mass(m)=40 kg

Gram=9.8m/s

Now,

Weight=m x g

or, weight= 40x9.8

=392.0

Hope you have understood

Mark me as brainliest plz

Answer:

The right answer of 8 a is 392 Newton

The right answer of 8b is 10 kg

Look at the attached picture

Hope it will help you

Good luck on your assignment

Name 3 things that can be taken to reduce erosion and keep our topsoil healthy?

Answers

Answer:

Caution with grazing, recreational activities and reclaiming used lands can reduce erosion. For example, drain the soil if it collects standing water. Stay off wet soil. And, carefully fertilize your soil

Explanation:

The truck in which
you were seated sank
into the mud. You and
the person driving the
Vehicle want to lift the
truck using a branch.
You apply a force of
600 N to the branch
which acts as a lever.
The rear of the truck
weighs 2,400 N. What
is the mechanical
gain of the lever arm?​

Answers

Answer:

m = 4

Explanation:

We have,

You apply a force of  600 N to the branch  which acts as a lever. It means it is input force, IF = 600 N

The rear of the truck  weighs 2,400 N. It means it is output force, OF = 2400 N

The ratio of output force to the input force is equal to the mechanical advantage of the lever arm. It is given by :

[tex]m=\dfrac{2400}{600}\\\\m=4[/tex]

So, the mechanical  gain of the lever arm is 4.

Water in the Antarctica usually exists as ice ,making it very difficult to use the water or conduct experiments reqiring the water to be in liquid state .A coffee addicted physisits stationed at a research base requires about 0.8 kg of ice for his coffe on the hour

Answers

Answer:

2730.304 KJ

Explanation:

 How much heat is required to convert 0.8 kg of ice at  -35°C into steam at 100 C?

Given that:

mass of ice (m) = 0.8 kg = 800 g

Initial temperature ([tex]T_i[/tex]) = -35°C = 238 K

final temperature ([tex]T_n[/tex])= 100°C = 373 K

Specific heat of ice ([tex]S_i[/tex]) = 2.108 J/g.K

Specific heat of water ([tex]S_w[/tex]) = 4.18 J/g.K

Latent heat of fusion ([tex]L_f[/tex]) = 334 J/g.

Latent heat of vaporization ([tex]L_v[/tex]) = 2230 J/g.

[tex]\Delta T=T_n-T_i=373-238=135K[/tex]

Total heat (Q) required to increase the temperature of ice from the initial temperature of 238K to final temperature of 373 K is given by the equation:

[tex]Q=m\Delta TS_i+m\Delta TS_w+mL_f+mL_v\\Q=800(135)*2.108+800(135)*4.18+800*334+800*2230\\Q=227664+451440+267200+1784000=2730304J\\Q=2703.304KJ[/tex]

After pulling the string tight, Miguel talked into his aluminum can. Brian could hear Miguel's voice through the aluminum can attached to the string. Which of the following best explains the sound Miguel made?

A.
The sound traveled through the air but not through the string.
B.
The sound traveled through the string but not through the air.
C.
The sound traveled through the string and the air at different speeds.
D.
The sound traveled through the string and the air at the same speeds.

Answers

Answer:

option C is correct✅✅✅✅✅

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

MRU(movimiento rectilineo uniforme) un movil viaja en linea recta con una velocidad media de 12metros /segundos durante 9segundos y luego con una velocidad media de 4.8metros/segundos durante 7 segundos siendo ambas velocidades al mismo sentido. a) cual es el desplazamiento total del viaje de 16 segundos? b) cual es la velocidad media del viaje completo?

Answers

Answer:

a) 141.6m

b) 8.4m/s

Explanation:

a) to find the total displacement you use the following formula for each trajectory. Next you sum the results:

[tex]x_1=v_1t_1=(12m/s)(9s)=108m\\\\x_2=v_2t_2=(4.8m/s)(7s)=33.6m\\\\x_T=x_1+x_2=108m+33.6m=141.6m[/tex]

hence, the total distance is 141.6m

b) the mean velocity of the total trajectory is given by:

[tex]v_m=\frac{v_1+v_2}{2}=\frac{12m/s+4.8m/s}{2}=8.4\frac{m}{s}[/tex]

hence, the mean velocity is 8.4 m/s

Identify the sentence
When you can see both sides of an issue equality we’ll, you find it difficult to take a stand , but some people insist that you take one side or another .

Answers

Answer:

compound-complex sentence. two independent clauses, one dependent clause

How fast is the van traveling relative to the ground

Answers

Answer:

5238747643782 mph

Explanation:

i assure u it is

According to the Premable to Bill of Rights what is the purpose of the bill of rights guaranteed everyone's rights to stop people from depriving others of their rights

Answers

Answer:

to prevent the government from abusing people's rights

Explanation:

Bill of rights is made up of the first ten amendments to the United States Constitution.

The bill of right include Freedom of religion, speech, press, assembly and petition.

The Right to keep and bear arms in order to maintain a well regulated militia.

The Right to due process of law, freedom from self-incrimination, double jeopardy.

The purpose of this bill is to protect the rights of citizens against infringement from the government,public officials and private citizens.

2. How much current is in a circuit that includes a 1.5-volt battery and a
bulb with a resistance of 2 ohms?

Answers

Answer:

V = IR

I = V/R

= 1.5 / 2

= 0.75 A

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