A particle moves along a straight line such that its acceleration is a=(4t^2-2)

Answers

Answer 1

The velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.

What is the velocity of the particle?

The velocity of an object is the rate of change of displacement with time. It is also the integral of acceleration of the object.

a = 4t² - 2

v = ∫a

v = 4t³/3 - 2t + C

Thus, the velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.

Complete question:

A particle moves along a straight line such that its acceleration is a=(4t^2-2). Find its velocity at any time, t.

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Related Questions

sound travels through a ​

Answers

Answer:

A.3.64 m

Explanation:

Because

v=(fλ)(1382)=(380)λλ=3.637m~3.64m

where ,v=velocity

f=frequency

λ=wave length

Answer:

3.64

Explanation:

the formula is Already provided which is Velocity(m/s)= frequency (HZ) × wavelength

making wavelength stand alone

wavelength= velocity/ frequency

wavelength= 1382/380

wavelength= 3.64

What must be known to determine the direction of the magnetic force on a change? Check all that apply.

Answers

What we must know to determine the direction of the magnetic force on a charge are;

The type of the charge.The direction of the magnetic field.The velocity of the charge.

How to find the direction of magnetic force?

The magnetic force is the force of attraction or repulsion that emerges between electrically charged particles since of their movement.

From right hand rule, to determine the direction of the magnetic force on a charge, we must know;

The type of the charge.The direction of the magnetic field.The velocity of the charge.

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What is nuclear power

Answers

Answer:

D. All of the statements describe nuclear power

What is NUCLEAR POWER?

➡️ is the use of nuclear reactions to produce electricity.

➡️ it can be obtained from nuclear fission, nuclear decay and nuclear fusion reactions.

Hope it helps

does anyone know this whole distance and displacement concept it makes zero sense

Answers

Answer:

Distance is the total length travelled, or in other words, it is a measure of how far apart two objects are.


Displacement, on the other hand, the difference between the starting and and ending positions of an object.

For example, if a person walks 10m forwards, then 7m backwards, thereby ending up where he started, he will have travelled a distance of

10 + 7 = 17m .

But the difference between his starting and finishing positions is

10 - 7 = 3m.

If, however, the man walked 10m forwards and then 10m backwards, the distance he covered would be 10 + 10 = 20m, but the displacement would've been 0 as there would be no difference between his starting and ending positions.

Let me know if you still don't understand.

Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm from the lens. The focal length is 3 cm.

Answers

The ray diagram for the given object consists of 2 cm height of object, 4 cm object distance and 3 cm focal length.

Image formed by a diverging lens

Diverging lens is called a concave lens. The working of the lens is dependent on the refraction of the light rays as they pass through the lens.

Image formed by a diverging lens is always virtual, erect and diminished; smaller than the object and is located on the same side of the lens as the object.

The ray diagram for the given object is presented in the image in the diagram.

Object height = 2 cmFocal length = 3 cmObject distance = 4 cm

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Questions: 1. A table of weight 500N has four legs covering a total area of 0.5m². Calculate the pressure applied by the table on the ground

2. A man with a mass of 50kg, is standing on the ground. His two feet cover an area of 0.01m². calculate the pressure exerted by his two feet

3. An elephant has a weight of 40000N and her feet cover a total area of 0.5m². A woman weighs 600N and area of her heels in contact with the ground is 0.0075m². Who exerts the greatest pressure on the ground?

Answers

Answer:

shown below

Explanation:

1) P = F/A

P = 500 / 0.5

P = 1000N/m²

2) W = mg

W = 50 x 9.8

W = 490

P = F/A

P = 490 / 0.01

P = 49000N/m²

3) P = F/A

For E:

P = 40000 / 0.5

P = 80000N/m²

For W:

P = 600 / 0.0075

P = 80000N/m²

They're exerting the same amount of pressure on the ground

A ball dropped onto a trampoline returns to the same height after the rebound.
a) Describe the energy change of the ball from the point of release to the top of the rebound
b) What can you say about the energy of the ball at the point of release compared with at the top of the rebound?

Answers

a)The ball's potential energy changes as it moves from the release point to the top of the rebound.

b)The ball's potential energy is at its highest and rests when it is in the top position.

What is potential energy?

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The kinetic energy of the body is due to the virtue of motion.

According to the Law of Conservation of Energy, energy can neither be created nor destroyed but can be transferred from one form to another.

The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.

A ball dropped onto a trampoline returns to the same height after the rebound.

Hence, the ball's potential energy changes as it moves from the release point to the top of the rebound. When the ball is at the top position the potential energy is maximum and the ball is at rest.

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The reason galaxies that are distant from our galaxy move away from our galaxy more rapidly than those that are near is:

Answers

The reason galaxies that are distant from our galaxy move away from our galaxy more rapidly is more space expands between us and distant galaxies.

What is a galaxy?

A galaxy is a group of millions of stars and their systems that are grouped due to gravitational forces.

According to the Big Bang theory, galaxies are expanding and separate among them.

In conclusion, the reason galaxies that are distant from our galaxy move away from our galaxy more rapidly is more space expands between us and distant galaxies.

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Answer:

the galaxies are moving as the universe keep expanding .

Explanation:

In times of reduced visibility or at night, what color all-around light should a non-powered canoe or kayak display?.

Answers

In times of reduced visibility or at night white light would display a non-powered canoe or kayak.

Light requirement for canoe or kayak at night:

In low visibility, lights are the simplest way to stand out. You'll be noticeable for kilometers in the dead of night. You should give slow-moving vessels a considerably bigger head up to your location in conditions of severe rain or fog.

Canoes, kayaks, and rowboats that are under 23 feet in length are likewise subject to the regulations for small sailboats. You must flash a white light when boating between dusk and dawn or during times of reduced visibility so that other boats can notice you in time to avoid a collision.

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A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). what is the work done by the force?

Answers

Work done by the force is 150 Joules.

Steps involved in the question:

Step one:

Given data

Force F= 10N

the distance is described by the coordinate =  (0,0) to (15,0)

hence the distance = 15m in the x-direction.

Step two:

Required is the work done

we know that work done is expressed as

Wd= Force* Distance

Wd= 10*15

Wd= 150 Joules

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Kory was on the porch when a loud sound caught his attention. Looking up, he saw a red car spinning across the intersection and a white car stopped in the intersection. He knew the typical sequence of events for a car collision involved two vehicles moving at speed. As he tried to make sense of the scene, he filled in missing details that he had not actually observed. This will likely result in:

Answers

The information illustrates that this will likely result in schema distortion.

What is schema?

It should be noted that schema simply means a mental model of an object that includes knowledge, beliefs, and expectations.

In this case, the information illustrates that this will likely result in schema distortion. This led to the missing details.

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Two people start at the same place and walk around a circular lake in opposite directions. one has an angular speed of 1.11 x 10-3 rad/s, while the other has an angular speed of 8.40 x 10-3 rad/s. how long will it be before they meet

Answers

The time taken before the two people will meet is 11 minutes.

Time taken before they meet

The time taken before the two people will meet is calculated from the principle of relative velocity.

(ω₁ + ω₂)t = θ

where:

ω₁ is angular speed of the first personω₂ is the angular speed of the second persont is time of motionθ is angular displacement

(1.11 x 10⁻³  + 8.4 x 10⁻³)t = 2π

(9.51 x 10⁻³)t = 2π

t = 2π/9.51 x 10⁻³

t = 660.7 secs

t = 11 mins

Thus, the time taken before the two people will meet is 11 minutes.

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A 1-kg block starts sliding up a 30o inclined plane with an initial velocity of 4.00 m/s. How far will the block travel before coming to rest, if the surface is rough and the coefficient of kinetic friction between the block and the ramp is 0.2.

Answers

The block will travel 2.038 m before stopping. Newton's third equation of motion is applied in the given problem.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

it is defined as the product of the coefficient of friction and normal reaction.

On resolving the given force and acceleration. Mathematically in the different components and balancing the equation gets.Components in the x-direction.

From Newton's third equation of motion;

v²=u²+2as

0 =u²+2(-a)s

u²=2as

u²=2×(2×μg)s

4.00 m/sec = √2×(2 ×0.2 ×9.81 s

16 = 7.848 s

s = 2.038 m

Hence, the block will travel 2.038 m before stopping.

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a car with a mass of 2,00 kg travels a distance of 400 m as it moves from one stoplight to the next . as its fastest , the car travels at 18 m/s. what is its kinetic energy at this point?

Answers

Answer:

32400 J

Explanation:

K.E.=(1/2)(200)(18^2)

You pushes a 25kg box with 40 N of force, but the friction on the crate is 15 N. What is the net
force?

Answers

Answer:

25 N  in the direction of your push

Explanation:

The friction force acts against your pushing force....it reduces the net amount of force you are exerting

Net force =  40 - 15 = 25 N  

this stationary wave is what we call the first harmonic of the first normal mode of the system. in units of l, the length of the wire, what is λ1, the wavelength of the first harmonic?

Answers

First harmonic of a closed pipe is determined as velocity, v, to four times length (4L), F₀ v/4L.

First harmonic of a closed pipe

The first harmonic of a closed pipe is the fundamental frequency of the closed of the closed pipe.

L = λ/4

where;

L is the length of the pipeλ is the wavelength of sound

λ = 4L

But, v = F₀λ

v = F₀(4L)

F₀ = v/4L

where;

F₀ is the first harmonicv is speed of sound

Thus, first harmonic of a closed pipe is determined as velocity, v, to four times length (4L), F₀ v/4L.

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Gyroscopic wander can be divided in to two categories, one is DRIFT, what is the other?

Answers

Gyroscopic wander can be divided into two categories and these are:

DriftTopple

What is gyroscopic wander?

Gyroscopic wander can be defined as a movement of the spin axis (axis of rotation) away from a specific fixed direction.

Based on scientific information and records, there are two main types of gyroscopic wander and these include the following:

DriftTopple

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An object has a mass of 8.0 kilograms. a 2.0-newton force moves the object a distance of 3.0 meters to the east, and then 4.0 meters to the north. what is the total work done on the object

Answers

Answer:

1. An object has a mass of 8.0 kilograms. A 2.-newton force displaces the object a distance of 3.0 meters to the east, and then 4.0 meters to the north. What is the total work done on the object? 1)10 J 2) 14 J 3) 28 J 4) 56 J I found the resultant of the two distances, which is 5 m, I used 5 m * 2 N=10 J, but it’s not the answer. 2. A 20-newton block is at rest at the bottom of a frictionless incline, since I can’t show you the diagram, I will describe it. Supposed a right triangle, the vertical height is 3 m, and the base is 4.0 m. Then the hypotenuse is the incline and the block is at the bottom. The question is: How much work must be done against gravity to move the block to the top of the incline? I know that conservative forces are forces for which the work done does not depend on the path taken but only on the initial and final positions. But here I Know I should use 3 m * 20N=60 J. but the thing is it starts from the bottom which is the bottom of the incline, and ends at the top, then it should be the length of the hypotenuse? But if it’s 3 m, then it should have started from left end of the base, not the right end of the base which is the bottom of the incline.

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3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.

Answers

Answer:

Explanation:

Comment

The main points are that

The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.

Solution

               40 miles west

<==========================   0

=====================================================>

                                                  Displacement (30 km east)

Answer

30 km east                

To reach a distance of 2 km, a car has to cover a path of 2.4 km in 10 minutes. Calculate its average speed and velocity

Answers

Answer:

Average speed = 0.24 km/min.

Average velocity = 0.2 km/min.

Explanation:

Finding average velocity :

Least possible distance / Time taken2 km / 10 min0.2 km/min.

Finding average speed :

Path distance / Time taken2.4 km / 10 min0.24 km/min.

When does a driver have to stop for a school bus

Answers

A driver have to stop for a school bus when the red lights are flashing and there is no barrier between his/her vehicle and the bus.

What are traffic rules?

Traffic rules are rules that are expected to follow by the road users for the safety of everyone using the road.

For instance, when the red lights are flashing , it simply means to stop, while the green light means that the vehicle can continue to move, and yellow light means to be at alert to move.

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A football is kicked with an initial velocity of 10 m/s at an angle of 25 degrees. If it hits the ground 1.5s later, how many meters does it travel?

Answers

The distance travelled by the ball, given the data is 7.82 m

Data obtained from the questionInitial velocity (u) = 10 m/sAngle of projection (θ) = 25 degrees Time of flight (T) = 1.5 sAcceleration due to gravity (g) = 9.8 m/s²Range (R) = ?

How to determine the range

The range (i.e distance) travelled by the ball can be obtained as illustrated below:

R = u²Sine(2θ) / g

R = 10² × Sine (2×25) / 9.8

R = 10² × Sine 50 / 9.8

R = 7.82 m

Thus, the distance travelled by the ball is 7.82 m

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Nuclear power stations convert the nuclear energy stored in nuclear fuel into what other store of useful energy?

Answers

Answer:

The right answer is "thermal energy" or "thermal" or "heat" or "heat energy" or "electricity" or "electrical energy"

Explanation:

Nuclear fuel is used to heat water, increasing its thermal energy. This hot water is used to turn turbines that generate electrical energy.

Nuclear power stations convert the nuclear energy stored in nuclear fuel into thermal energy.

What is thermal energy?

Thermal energy is defined as a type of energy which is contained within a system which is responsible for temperature rise.Heat is a type of thermal energy.It is concerned with the first law of thermodynamics.

Thermal energy arises from friction and drag.It includes the internal energy or enthalpy of a body of matter and radiation.It is related to internal energy and heat .It arises when a substance whose molecules or atoms are vibrating faster.

These vibrating molecules and atoms collide and as a result of which heat is generated in a substance , more the collision of particles , higher is the thermal energy.It has 3 types conduction, convection and radiation.

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Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2

Answers

The answer to the correct number of significant figures is 6.774.

What is quotient?

When a number(big) divided smaller number, the answer obtained greater than zero is called a quotient.

Divide 143.6 ÷ 21.2

143.6/21.2 = 1436/212

                  =6.77358

The quotient is rounded to three significant figures after decimal

143.6 ÷ 21.2 = 6.774

Thus, the answer to the correct number of significant figures is 6.774

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ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated. Calculate the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high.
5880
600
58,800

Answers

The increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.

Increase in the potential energy of the man

The increase in the potential energy of the man is calculated as follows;

P.E = mgh

where;

m is mass of the manh is height attained by the mang is acceleration due to gravity

P.E = 60 x 9.8 x 10

P.E = 5,880 J

Thus, the increase in potential energy of a 60.0-kg man who climbs a ladder 10.0 meters high is 5,880 J.

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When does astrons form?

Answers

Answer:

don't exist

Explanation:

Suppose a creature from another planet has eyes that are sensitive to infrared radiation. Describe what the alien would see if it looked around your library. In particular, what would appear bright and what would appear dim

Answers

The incandescent lamp will glow quite brightly  in the eyes of the creature because emits less visible light and more infrared light.

What is infrared light?

The infrared light is a part of the electromagnetic spectrum that is emitted by a hot object.

As such, the incandescent lamp will glow quite brightly  in the eyes of the creature because emits less visible light and more infrared light. The florescent light which does not produce inferred rays will not be visible at all.

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A 0.2 kg ball is attached to a string and whirled around in a circle overhead. The string breaks if the force on it exceeds 80 N. What is the maximum speed the ball can have when the radius of the circle is 1m?

Answers

Answer:

added in picture

Explanation:

added in the picture

light hits ocean during ​

Answers

Answer:

no way to tell since the ocean surface is moving too violently it's not possible to determine the reflected angle

What is the frequency in hertz of the UK
mains electricity supply?

Answers

Answer:

HERTZ=HZ

Explanation:

Other Questions
Are of quadrilateral Read the excerpt from Jawaharlal Nehrus speech "A Tryst with Destiny.To the people of India, whose representatives we are, we make an appeal to join us with faith and confidence in this great adventure. This is no time for petty and destructive criticism, no time for ill will or blaming others. We have to build the noble mansion of free India where all her children may dwell.The appointed day has comethe day appointed by destinyand India stands forth again, after long slumber and struggle, awake, vital, free and independent. The past clings on to us still in some measure and we have to do much before we redeem the pledges we have so often taken. Yet the turning point is past, and history begins anew for us, the history which we shall live and act and others will write about.Which statement best evaluates the effectiveness of the evidence in this passage?Nehru makes an effective appeal to reason by saying that this is no time for blame, but is time for building.Nehru makes an effective appeal to emotions by saying that there is work to do to redeem pledges taken.Nehru makes an ineffective appeal to reasoning by saying that the day has been appointed by destiny.Nehru makes an ineffective appeal to emotions by saying that problems from the past have to be solved. You spent 14 of your allowance on Monday. On Tuesday, you spent 13 of what was left. On Wednesday, you spent 12 of what remains. What fraction of your allowance do you have left? Choose the most reasonable answer.PLEASE HELP ME WITH THIS What is the appropriate osha standard for hazard communication?. Which sentence best completes the diagram? Cultural Developments in the Mid-1800s Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice What are coefficients in the expression 2+6+10b-8a provide an example of unit conversion utilizing the process of dimensional analysis To successfully fight computer crime in a court of law, prosecutors and victims depend on a properly handled _____. Choose the expression that represents a cubic expression2x + 11 in ____ structures, the computer repeats particular statements a certain number of times depending on some condition(s). How many students scored 5 marks? a. what happens to the number of sandwiches and ice cream cones consumed if the price of ice cream cones rises to $2 a piece? Martin Luther King, Jr. was a civil rights leader. Identify a way Martin Luther King, Jr. worked to achieve civil rights. Which statement is TRUE about forces?A. Forces do not have a specific direction.B. Forces do not have specific strength.C. Forces always act in pairs, a push and a pull. Suppose the measures of the interior angles of a convex quadrilateral are four consecutive odd numbers. Find the measure of the third angle. An organ is a part of the body composed of two or more tissue types and is designed to perform at least one specific physiological function Match each logarithmic equation with its equivalent exponential equation. Drag the tiles to the correct boxes. Not all tiles will be used. How many moles of water formwhen would be required to reactwith 183.5 g Ba(OH)2 reacts withexcess HBr?2HBr + Ba(OH)2 BaBr2 + 2HO[?] mol HO How do you separate a honey and water solution?