Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration​

Answers

Answer 1

Answer:

A.) 39.5 m

B.) 0

C.) 60m/s^2

Explanation:

Given that a displacement function of a particle is x(t)=(20t^2-15t+200).

To Find the total displacement,

Reduce everything by dividing them by 5

X(t) = 4t^2 - 3t + 40 ...... (1)

For instantaneous velocity, differentiate x(t). That is,

dy/dt = 60t - 15 ...... (2)

But dy/dt = velocity.

If dy/dt = 0, then

60t - 15 = 0

60t = 15

t = 15/60

t = 0.25s

Substitutes t in equation (1)

Total displacement will be

X(t) = 4(0.25)^2 - 3(0.25) + 40

X(t) = 0.25 - 0.75 + 40

Total displacement = 39.5 m

To calculate instantaneous velocity, substitute t into equation (2)

V = 60 (0.25) - 15

V = 0.

and to find instantaneous acceleration, differentiate dv/dt

dv/dt = 60

Therefore, acceleration = 60 m/s^2


Related Questions

How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J

Answers

Answer:B

Explanation:

Calcule how long it takes a sound wave to travel trough 1.0km of water at 0C

Answers

Answer:

Explanation:

25.0 m/s

Answers: 25.0 m/s
Speed in the water is much faster than in air, the distance that sound waves travel is primarily dependent upon ocean temperature and pressure. While pressure continues to increase as ocean depth increases, the temperature of the ocean only decreases up to a certain point, after which it remains relatively stable.

A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is her acceleration? Is the acceleration higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds? How do you know?

Answers

Answer:

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, [tex]a=\frac{v-u}{t}[/tex]

Using the formula

[tex]a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2[/tex]

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]\frac{30-0}{8}m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]3.75m/s^2[/tex]

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

the unit of acceleration is derived unit why​

Answers

Answer:

Mass is a base unit, acceleration is a derived unit calculated as a function of length and time which are both base units. Any unit definition that is a function of more basic units is considered a derived unit.

lonic and Covalent compound formed through atomic bond formation. With the given
chemical formula, write the characteristic of the given properties.​

Answers

Answer:

1) Sucrose C₁₂H₂₂O₁₁

Common name; Sugar

Types of Compound ; Covalent Compound

Melting point; No melting point, it decomposes when heated

Electrical conductivity; Does not conduct electricity when dissolved in water

Solubility in water; Soluble in water

2) C₉H₈O₄ (Acetyl Salicylic acid)

Common name; Aspirin

Types of Compound ; Covalent Compound

Melting point; High

Electrical conductivity; Does not conduct electricity when dissolved in water

Solubility in water; Slightly soluble in water

3) NaCl (Sodium Chloride)

Common name; Salt

Types of Compound ; Ionic Compound

Melting point; High

Electrical conductivity; Conducts electricity when dissolved in water

Solubility in water; Soluble in water

4) C₅H₈NO₄Na (Monosodium Glutamate (MSG)

Common name; Vetsin

Types of Compound ; Ionic Compound

Melting point; High

Electrical conductivity; Conducts electricity when dissolved in water

Solubility in water; Soluble in water

5) C₈H₁₈ (Octane)

Common name; Common gasoline

Types of Compound ; Covalent Compound

Melting point; Low

Electrical conductivity; Does not conducts electricity and insoluble in water

Solubility in water; Relatively insoluble in water

Explanation:

Una pelota de golf se suelta desde el reposo del techo de un edificio muy alto. Despreciando la resistencia del aire, calcule (a) la posicion y (b) la velocidad de la pelota despues de 1s, 2s y 3s.

Answers

Answer:

a)   y = y₀ - 4.9, v = -9.8 m / s, b)  y =y₀ - 19.6,  v = - 19 m / s

c)  y =y₀ - 44.1, v = - 29.4 m / s

Explanation:

To solve this exercise let us use the kinematic relations

          y =y₀ + v₀ t - ½ g t²

          v = v₀ - g t

They indicate that the body is released therefore the initial velocity is zero v₀ = 0

          y = y₀ - ½ g t²

          v = - gt

a) the position and velocity for t = 1s

         y = y₀ - ½ 9.8 12

         y = y₀ - 4.9

         v = - 9.8 1

         v = -9.8 m / s

the negative sign indicates that the velocity is directed downwards

b) t = 2 s

         y =y₀ - ½ 9.8 2 2

         y =y₀ - 19.6

         v = - 9.8 2

         v = - 19 m / s

c) t = 3 s

        y = y₀ - ½ 9.8 3 2

        y =y₀ - 44.1

        v = - 9.8 3

        v = - 29.4 m / s

The change in frequency of a wave as its source moves in relation to an observer.
A)
Ultrasound
B)
Frequency
C)
Doppler Effect
D)
Echo

Answers

Answer: B) Frequency

Explanation:

House current is 120 volts. If a light bulb runs a current of 0.5 amps, what the resistance of the bulb? (Please please help!)

Answers

Resistance  =  (voltage) divided by (current)

                                              =  (120 V)  /  (0.5 Amp)

                                              =          240 ohms .

Mr. Rosa is able to travel at 10m/s. How much time will it take him to travel a distance of 542 meters?
What is the known?
What is the unknown?
Plug it in.
What is your answer?

Answers

// s - displacement, t - time, v - velocity

Known:

s = 542 meters;

v = 10m/s

Unknown:

t - ?

Formula:

t = s / v

Solution:

t = 542 / 10 = 54,2 (s)

Answer:

54,2 s

Make me the brainliest, please

Which type of protist is animal AND plant like?

Answers

Answer:

Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.

Explanation:

Electric field strength of a point charge is E. What is the electric potential at a point where electric field will be E/4?

Answers

Answer:

Explanation:

We shall find first the distance where electric field is E/4 .

Let the charge be Q and distance be d where electric field is E . From the coulomb's Law

E = k Q / d²

Let distance be d₁ where field is E/4

E/4 = kQ / d₁²

Dividing the two equation

4 = d₁² / d²

d₁ = 2d

We shall have to find Potential at d₁ which is equal to 2 d .

Potential at d₁

V = k Q / 2d

= kQ d / 2d²

= E d / 2 . where d is distance of the point where field is E .

What patterns are caused by the Earth, Sun, and Moon systems?

Answers

Earth's rotation and orbit and the Moon's orbit cause observable patterns (Day and night, seasons, phases of the Moon, tides).

The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.

What patterns are caused by the Earth, Sun, and Moon systems?

The Earth, Sun, and Moon systems create several patterns, including:

Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.

Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.

Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.

Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.

Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.

These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.

Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.

To learn more about the heliocentric model of the Solar System click:

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Use the image to answer the question. Which process enables the boy to see
over the wall?
A.diffraction
B.interference
C.reflection
D.refraction

Answers

HELLO

İ THİNK D

WHY D?

BCUESE SEN COK MALSİN ZAAA DAHA TÜRCE BİLMİYON MK

a driver drives to depth of 20cm below the surface of water of density 1.0x10 cubed km3 the pressure he experiences isNm-2​

Answers

Answer:

[tex]20.61\times 10^{5}Nm^{-2}[/tex]

Explanation:

We are given that

h=20 cm=0.20m

1m=100 cm

Density of water=[tex]\rho=1.0\times 10^3 kg/m^3[/tex]

We have to find the pressure experienced by driver at that depth.

Atmospheric pressure, P0=101 kPa

Pressure experience by driver

[tex]P=\rho hg+P_0[/tex]

Where [tex]g=9.8[/tex]

[tex]P=1.0\times 10^3\times 0.20\times 9.8+101[/tex]

[tex]P=2061KPa[/tex]

1 KPa=[tex]1000Nm^{-2}[/tex]

[tex]P=2061\times 1000=2061000N/m^2[/tex]

[tex]P=20.61\times 10^{5}Nm^{-2}[/tex]

A plane has a take off speed of 1 point
300 km/h. What is the
acceleration in m/s2 of the
plane if the plane started from
rest and took 45 seconds to
take off? *​

Answers

Answer:

Acceleration = 1.85m/s²

Explanation:

Given the following data;

Final velocity = 300km/h to m/s = 300*1000/3600 = 83.33m/s

Time = 45 seconds

Since the plane started from rest, initial velocity is equal to 0m/s.

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]

v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]

t is time measured in seconds.

Substituting into the equation, we have;

Acceleration = (83.33 - 0)/45

Acceleration = 83.33/45

Acceleration = 1.85m/s²

Therefore, the acceleration of the plane is 1.85m/s².

An object horizontally dragged across the surface by a 100 N force acting parallel to the surface . Find out the amount of work done by force in moving the object through a distance of 8 m

Answers

Answer:

800J

Explanation:

Given data

Force= 100N

Distance moved= 8m

The expression for the work done is

WD= Force* distance

substitute

WD= 100*8

WD= 800Joules

Hence the work done is 800J

why was galileo unable to formulate equations to describe motion?

Answers

Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.

Explanation:

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Galileo introduced two different propositions to describe motion of an object, which includes;

uniform acceleration of an objectfree fall of objects

Galileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.

Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Learn more here:https://brainly.com/question/3597168

Find the momentum of a 3.0 kg mass when it is stopped

Answers

Answer:

4,0kg it is stopped!!!!!

The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.

What is momentum?

Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s².  Momentum represents the mass of the moving body.

Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.

From the given,

mass of the object = 3 kg

the velocity of the object = 0 (when the body is stopped v=0)

the momentum, p = m×v

p = 3×0

   = 0

The linear momentum of the object is zero.

To learn more about momentum:

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Which of the following have the most GPE. 1.) a car at the top of a hill 2.) a car at the bottom of the hill 3.) a car half way down the hill 4.) on the straight part of the track. (I don't know how to give Brainly)

Answers

Answer: car at the top of a hill

Explanation:

A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance)

Answers

Answer:

Explanation:

Given the following data;

Mass = 2kg

Energy = 50J

Height = 10m

To find the speed

Kinetic energy can be defined as the energy possessed by a body due to its motion.

K.E = ½mv²

Substituting into the equation, we have;

50 = ½*2*v²

V² = 50

Taking the square root of both sides, we have;

V = 7.07m/s

A female skater with mass 45 kg and velocity 7 m/s leaps into her partner's arms. If her partner is has a mass of 60 kg and a forward velocity of 1.5 m/s, how fast are the two of them going after he catches her?

Please provide an explanation, random answers will be reported thank you.​

Answers

Explanation:

this is the answer for your question further if you have any doubts

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Why is the overall charge of the atom neutral or zero?
A. The zero charge on the neutrons in the nucleus create a neutral atom.

B. The number of protons is equal to the number of electrons

C. Equal numbers of neutrons, protons, and electrons work together to keep the charge of the atom neutral or zero.

D. Atoms are not electrical and therefore have no charge.

Answers

Answer:

B

Explanation:

this is because the neutrons do not have a charge, the things that have charge in an atom are electrons and protons.

and in the nucleus of an atom, there are protons and neutrons so you can see that A is not the answer

if you see the periodic table, you will know that the number of electrons and protons are equal, so the charges cancel each other out, hence the charge of an atom will be neutral

let me give you a tip which I got from my teacher, never write there is no charge in the atom, this suggests that there is no protons or electrons.

instead, write, the it is neutral

hope it helps if not please report it so that someone else gets to try it out

Anyone who answer will get brainlest

Answers

Answer:

D

Explanation:

work = Force x distance

work = 2000 x 2 = 4000

power = work÷ time

4000/.8 = 5000W

Answer:

The answer is D 5000w

Explanation:

work = Force x distance

work = 2000 x 2 = 4000

power = work÷ time

4000/.8 = 5000W

Identify the phase and division I or II for the following:
Metaphase II
Metaphase I
Telophase II
Cytokinesis

Answers

Answer:

Metaphase II

Explanation:

Metaphase II is the division of two daughter cells and is when sister chromatids line up in the middle of the cell.  This is what appears to be happening in the image.  Additionally, you can see that the chromosomes have already crossed over.  

Metaphase I only involves 1 cell, not 2 daughter cells.

Telophase II and Cytokinesis are when the cell splits.  Also, Telophase II would result in 4 daughter cells, not just 2.  

When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures

Answers

Answer:

c) affects

Explanation:

im like 90% sure

The Purpose Of Stretching Is :
A. To increase your flexibility
B.To increase your range of motion during workout
C.To increase blood flow to the muscles
D. All of the above

Answers

Answer:

all of the above are correct

Explanation:

hope it helps you

please mark me as brainlist

All of the above is correct

someone help pls. Two students, Mia and Peter, leave school to meet at the local coffee shop. Peter decides to jog to the coffee shop, but also stops at a flower shop along the way. Mia decides to walk from school directly to the coffee shop. They arrive at the coffee shop at the same time, 30 minutes after they leave school.

Answers

Answer:

1) The distance further it takes Peter to arrive at the Coffee shop than Mia is 1.24 km

2) Mia's average speed is 6.00 km/hour

Peter's average speed is 8.48 km/hour

4) Mia's average velocity = Peter's average velocity = 6.00 km/hour

Explanation:

The given information from the diagram are;

The distance Peter jogs from school to the flower shop = 2.00 km

The distance Peter jogs from the Flower shop to the Coffee shop = 2.24 km.

The distance Mia walks from school directly to the Coffee shop = 3.00 km

The time it takes both Peter and Mia to arrive at the coffee shop = 30 minutes = 0.5 hour

1) The total distance Peter travels from school to the Coffee shop = 2.00 km + 2.24 km = 4.24 km

The distance Mia travels from school to the Coffee shop = 3.00 km

The distance further it takes Peter to arrive at the Coffee shop than Mia = 4.24 km - 3.00 km = 1.24 km

The distance further it takes Peter to arrive at the Coffee shop than Mia = 1.24 km

2) [tex]Average \ speed = \dfrac{Total \ distance \ traveled}{Total \ time \ taken \ in \ the \ journey}[/tex]

[tex]Therefore, \ Mia's \ average \ speed = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]

Mia's average speed = 6.00 km/hour

[tex]Peter's \ average \ speed = \dfrac{4.24 \ km}{0.5 \ hour}= 8.48 \ km/hour[/tex]

Peter's average speed = 8.48 km/hour

4) [tex]Average \ velocicty = \dfrac{Displacement }{Time \ taken}[/tex]

The displacement from the School to the Coffee shop is 3.00 km for both Mia and Peter

The time it takes both Peter and Mia to arrive at the Coffee shop from the school is 30 minutes = 0.5 hour

[tex]Therefore, \ Mia's \ average \ velocity = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]

Mia's average velocity = 6.00 km/hour

[tex]Peter's \ average \ velocity = \dfrac{3.00 \ km}{0.5 \ hour}= 6.00 \ km/hour[/tex]

Therefore, Peter's average velocity is also = 6.00 km/hour

Which electromagnetic wave can be used to treat cancer? Group of answer choices a.microwaves b.gamma waves c.infrared waves d.xray waves

Answers

Answer:

Radiation therapy uses high-energy particles or waves, such as x-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.Hope that helps

balance the equation
P + 02 → P205 ​

Answers

Answer:

4P + 502 → 2P205

Explanation:

Hence the above equation is balanced.

Explanation:

[tex] \underline{ \underline{ \large{ \text{Given \: chemical \: equation}}}} : [/tex]

[tex] \tt{P \: + O _{2} \: \: \: \: ➞ \: \: P_{2} \: O_{5}}[/tex]

Here , Multiply P2O5 by 2 and O2 by 5 to equalize oxygen :

[tex] \tt{P+ 5O_{2} \: \: ➞\: \: 2P_{2} \:O_{5}}[/tex]

Now , To equalize P atoms , Multiply P by 4

[tex] \boxed{ \large{\tt{ 4P + 5O _{2} \: ➞ \: \: \: \: 2P_{2} \: O_{5}}}}[/tex]

Here , On the left side we have 4P and On the right side ,we have 4P. Again , On the left side , we have 10 O and On the right side , we have 10 O. And yippie , we got the balanced chemical equation !!!

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What is potential energy?

Answers

the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors
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The top layer of the soil in the diagram is composed MAINLY ofA)sand and clay.B)solid bedrockC)many types of minerals.D)decaying organic material. jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it take the two of them to finish the job What is the average rate of change for this quadratic function for the intervalfrom x= 1 to x = 3?X-55-10+ 1. The Clock[tex] \sqrt{81} [/tex] Question 5 Worth 10 points)(MC) Which question relates to finding the theme of a text? There are more than one answer help me and I give brainilest Sam, whose mass is 60 Kg, is riding on a 5.0 kg sled initially traveling at 8.0 m/s. Hebrings the sled to a stop in 4.0 seconds. What amount of force is applied to the sled inbringing it to a stop? The school band has a goal of raising $800 for some new uniforms. If theyhave raised $512 so far, what percent of their goal have they raised?help please (;`) which weakness of the Articles of Confederation was correxted by the authors of the Constitution What is homonationalism in simple terms? The _________ wanted to draw attention to the items they felt were most important in the artwork by using hierarchy proportion. Help po plss 1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher. Shakespeare was the greatest dramatist of England (comparative) can someone please do this :// I need B done on Question 9 but I'm so mad because no one is giving me a correct fkin answer help plssss i give brainliest A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was only 125 mph. Write and solve a system to reflect this relationship. Find the speed of the headwind/ tailwind AND the speed of the plane on a calm day. A group of college students believes that herbal tea has remarkable restorative powers. To test its theory, the group makes weekly visits to a local nursing home, visiting with residents, talking with them, and serving them herbal tea. After several months, many of the residents are more cheerful and healthy.1. The lurking variable in this experiment isa. visits of the college students.b. the fact that this is a local nursing home.c. herbal tea.d. the emotional state of the residents.2. The explanatory variable in this experiment isa. visits of the college students.b. herbal tea.c. the emotional state of the residents.d. the fact that this is a local nursing home.3. Which of the following may be correctly concluded from this study?a. The results of the study are not convincing because only a local nursing home was used and only for a few months.b. Herbal tea does improve one's emotional state, at least for the residents of nursing homes.c. There is some evidence that herbal tea may improve one's emotional state. The results would be completely convincing if a scientist had conducted the study rather than a group of college students.d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors. A 10 kg boat is moving 3 m/s. Find kinetic energy. Use KE = (mv^2)/2 What were the achievements of Aurangzeb? Did they help him stengthenthe mughal empire? There are 15 books on a shelf. 9 of these books are new. The rest of them are used.