Your velocity is given by V(t)=t2+1 in m/s, with t in seconds. Estimate the distance, s, traveled between t=0 and t=5. Use an overestimate with data every one second. The tolerance is ±2%.

Answers

Answer 1

Given the velocity function V(t) = t2 + 1 in m/s with t in seconds. To estimate the distance s traveled between t = 0 and t = 5. Use an overestimate with data every second.

The tolerance is ±2%. The formula to find the distance traveled is given by; Distance = ∫V(t)dt When t = 0, V(0) = 0² + 1 = 1 m/s When t = 1, V(1) = 1² + 1 = 2 m/s When t = 2, V(2) = 2² + 1 = 5 m/s When t = 3, V(3) = 3² + 1 = 10 m/s

When t = 4, V(4) = 4² + 1 = 17 m/s When t = 5, V(5) = 5² + 1 = 26 m/s We need to estimate the distance traveled between t = 0 and t = 5.

Use an overestimate with data every second. The tolerance is ±2%. We will use the trapezoidal rule to estimate the distance traveled.

Distance = ∫V(t)dt ≈ [f(a) + f(b)](b - a)/2Distance ≈ [f(0) + 2f(1) + 2f(2) + 2f(3) + 2f(4) + f(5)](5 - 0)/12 ≈ [1 + 2(2 + 5 + 10 + 17) + 26](5/12) ≈ 67.08mHence, the distance s traveled between t = 0 and t = 5 is approximately 67.08m.

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Related Questions

true or false if false correct the false statements :

a- the transformation of electric energy into themal energy is called joule's effect.

b - when a liquid is at rest , the pressure is at the same at any point within this liquid​

Answers

Answer:

both statements are truth

Explanation:

a-The Joule effect, also called Joule's law, is the thermal manifestation of electrical resistance. ... In all these cases, it is intended to generate thermal energy with electricity passing through its conductors. This heat they give off is due to the Joule effect.

b-sure of a liquid tank depends only on the density of the liquid and depth from the free surface. It is a scalar quantity and is same in all directions, at a point.

A block slides down a smooth ramp, starting from rest at a height h. When it reaches the bottom it’s moving at speed vi. It then continues to slide up a second smooth ramp. At what height is its speed equal to vi/2?

Answers

The item has no energy at its greatest point since all of it's kinetic energy has been transformed into potential energy; as a result, the velocity is null and the object is not accelerating.

Is the only possible speed the speed of light?

The best engine in the cosmos is the speed of light. A study that was earlier this month published in the scientific journal Nature revealed that it was an illusion.

What is the energy formula for height?

The formula for gravitational force is P.E. Equals mgh, where g is the deceleration caused by gravity (9.8 m/s2 at the earth's surface) when h is the elevation in meters. The units for gravitational potential energy are kg m2/s2, which are the same as those for kinetic energy.

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Noah drops a rock with a density of 1.73 g/cm cubes into a pond. Will the rock float or sink? Explain your answer.

Answers

Answer:

The rock will sink.

Explanation:

The density of water is about 1 g/cm cubed, the rock being more dense will sink in water.

Answer:

Here is the answer.

Explanation:

Noah drops a rock with a density of 1.73 g/cm cubes into a pond. Will the rock float or sink? Explain

Question 53 Marks: 1 A jet pump will lift water a maximum ofChoose one answer. a. 500 feet b. 120 feet c. 33.9 feet d. 15 feet

Answers

A jet pump commonly used for domestic water supply systems will lift water a maximum of 120 feet. Option B is the correct answer.

It works by using a combination of suction and pressure to draw water up from a well or other water source.

The pump consists of two main parts: a shallow well jet assembly and a deep well jet assembly.

The shallow well jet assembly is used for wells that are less than 25 feet deep, while the deep well jet assembly is used for deeper wells.

The maximum depth that a jet pump can lift water depends on the pump's design, but most jet pumps can lift the water up to a depth of around 120 feet.

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The question -

A jet pump lifts water to a maximum of how many feet?

Options are -

a. 500 feet

b. 120 feet

c. 33.9 feet

d. 15 feet.

which products rely on the ability of ionic compounds to conduct electricity? check all that apply.
1. papers
2. cell phones
3. soaps
4. glazed pottery
5. remote control toys

Answers

The products that rely on the ability of ionic compounds to conduct electricity are:
2. Cell phones
5. Remote control toys

State one similarity between rotatory and circular motion​

Answers

Answer:

The main difference between these types of motion is that circular motion is a special case of rotational motion, where the distance between the body’s centre of mass and the axis of rotation remains fixed.

Rotational motion is based around the idea of rotation of a body about its center of mass. In rotational motion, the axis of rotation and centre of mass could change whereas in circular motion, the axis of rotation and centre of mass does not change.

Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path and can either have a constant angular rotation rate and constant speed, or it can exist with a changing rate of rotation.

Think of one of those fairground rides where people sit on dummy horses. Now imagine the horses spin around the post that holds them to the base of the ride. Then you have both rotational motion of the horse and circular motion as the horses move around the ride.

You are handed a spring that is 0.50m long. You hang the spring from a hook on the ceiling and attach a 0.75-kg mass to the other end of the spring. The stretched spring length is 0.65 m. What is the spring constant?

Answers

The spring constant is 4900N/m

We are given that,

The mass of the ceiling = m = 0.75kg

The total length of the spring = x = 0.65cm - 0.50cm = 0.15cm

Therefore , to get the value of the spring constant (k) by applying Hook's law that can be given as,

F = kx

Where, F is the total force on the spring , k is the spring constant and x is the length of the spring.

Since , to get the F i.e. force of the spring by Newton's second law of motion, for mass m and acceleration due to gravity is g i.e. 9.8m/s²

F = mg

F = 0.75kg × 9.8m/s²

F = 7.35 N

Then, the spring constant is given as,

k = F/x

k = (7.35N)/(0.0015m)

k = 4900N/m

Therefore, the spring constant may be given as 4900N/m

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The mechanisms by which thermal energy is generated in a solid include all of the following except A. Electric resistance heating B. Release of thermal energy stored in the solid C. Endothermic chemical reactions D. Absorption of neutrons E. Exothermic chemical reactions

Answers

Thermal energy is the energy associated with the movement of particles within a substance. The mechanisms by which thermal energy is generated in a solid are varied and include electric resistance heating, the release of thermal energy stored in the solid, endothermic chemical reactions, and exothermic chemical reactions.

However, one mechanism by which thermal energy is not generated in a solid is the absorption of neutrons.
Absorption of neutrons can lead to the formation of new isotopes, but it does not directly generate thermal energy. This is because neutrons do not carry an electric charge, and therefore cannot directly interact with the electrons in a solid to generate heat. Instead, the energy associated with the absorbed neutron is typically released through subsequent nuclear reactions, which can generate thermal energy indirectly.
In summary, while electric resistance heating, the release of thermal energy stored in the solid, endothermic chemical reactions, and exothermic chemical reactions are all mechanisms by which thermal energy can be generated in a solid, absorption of neutrons is not.

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Describe earth’s orbit around the sun. Describe the orbits of the other planets.

Answers

Answer:

An ellipse with the Sun at one of the foci of the ellipse

Explanation:

Planets have elliptical orbits

why are most of the constellations that were invented in modern times located in the southern sky

Answers

Most of the constellations that were invented in modern times are located in the southern sky because the constellations in the northern sky were already named and recognized by ancient civilizations.

The constellations of the southern hemisphere were invented in modern times.

The southern sky wasnot as well-known to these civilizations because it was not visible from their locations in the northern hemisphere. As a result, when modern astronomers began to explore and map the southern sky, they had the opportunity to name and classify many new constellations. These constellations include the Southern Cross, the Large Magellanic Cloud, and the Small Magellanic Cloud, among others.

Therefore, most of the constellations t

hat were invented in modern times are located in the southern sky because they were not previously recognized and named by ancient civilizations.

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A boulder rolls off a 100 meter cliff with a horizontal velocity of 2 m/s.
Make a sketch of the cliff and the boulder. Be sure to label the height of the cliff, the horizontal velocty of the
boulder, and the trajectory of the boulder

Answers

Explanation:

It is given that,

Height of the cliff is 100 m

Its horizontal velocity is 2 m/s

The attached figure shows the sketch of the cliff and the boulder. It will go in the form of parabola. Its trajectory is parabolic in nature. The horizontal distance is called the range of the parabola.

A boulder rolls off a 100 meter cliff with a horizontal velocity of 2 m/s.Make a sketch of the cliff

5. How does this model the flow of energy Thin layers of wood are glued and pressed together to make plywood.

Answers

The process of making plywood models the flow of energy by transforming and preserving energy in different forms, including mechanical, chemical, and potential energy, to create a composite material with desired properties.

The process of gluing and pressing thin layers of wood together to make plywood models the flow of energy through the concept of material transformation and preservation of energy.

In the manufacturing of plywood, thin layers or veneers of wood are stacked together with adhesive, typically a type of glue, and then pressed under high pressure and heat. This process transforms the individual layers of wood into a composite material with enhanced strength, durability, and stability.

From an energy perspective, the process involves the input of mechanical energy in the form of pressure and heat during the pressing stage. The pressure and heat cause the adhesive to bond the layers of wood together, creating a cohesive structure. This transformation of the wood layers requires the conversion of mechanical energy into chemical energy in the bonds formed by the adhesive.

Once the plywood is formed, it can be used in various applications where its properties are advantageous, such as construction, furniture making, and interior design. The plywood itself can store potential energy, which can be released or utilized when the material is subjected to external forces or loads.

Overall, the process of making plywood models the flow of energy by transforming and preserving energy in different forms, including mechanical, chemical, and potential energy, to create a composite material with desired properties.

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If the pressure at a point is Im of water, what will be it's value in terms of 1m of oil? (Take, the density of oil to be 0.8 g/cm³) A. 0.8 B. 1 C. 1.25 D. 2.5​

Answers

The  value in terms of 1m of oil is 1.25

How to solve for the value

To convert the pressure at a point from 1 meter of water to its equivalent value in meters of oil, we can use the following formula:

Pressure = height × density × gravity

Let's first find the pressure exerted by 1 meter of water.

1 g x 0.8 = 0,8

1 x g x 1m = 0.8 x g * h2

We are to solve for h2

h2 = 1 / 0.8

= 1.25

Hence tghe  value in terms of 1m of oil is 1.25

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  do batteries produce or make energy

Answers

Batteries Produce energy

Answer:

Batteries are intended to store chemical energy and then it converts into electricidal energy. So overall, batteries produce energy.

Explanation:

show answer no attempt 33% part (a) calculate the angular momentum, in kilogram meters squared per second, of the earth in its orbit around the sun.

Answers

The angular momentum of the Earth in its orbit around the Sun is approximately \(2.66 x 10^40 kg m^2/s.\)

Angular momentum is a measure of the rotational motion of an object, and is calculated as the product of its moment of inertia and its angular velocity. In the case of the Earth's orbit, its moment of inertia is determined by its mass distribution, which is concentrated in its solid core.

Its angular velocity is determined by the time it takes to complete one orbit around the Sun, which is approximately 365.25 days. By multiplying the two values together, we can calculate the Earth's angular momentum in its orbit around the Sun.

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Name the two types of vaporization and explain the difference between them. Give one example of each. ​

Answers

Evaporation and boiling.
Evaporation refers to only the surface level turning it into a gas and the vaporization pressure of the liquid remains low.
When a substance boils it’s pressure is high and the surface evaporated along with the rest of the liquid at an equal rate. A sign of boiling is the presence of bubbles, which occur only in the process of boiling and not in evaporation.
A example of boiling is heating water up to the point until you see steam and bubbles.
A example of evaporation is the melting of an ice cube.
Hope this helps

We have that for the Question "Name the two types of vaporization and explain the difference between them. Give one example of each. ​" it can be said that the types of vaporization are

Evaporation

Here privatization of liquid will only happen at the surface of the liquid exclusion then other sections of the liquid

Boiling

This is is a phenomenon that occurs throughout the liquid

From the question we are told

Name the two types of vaporization and explain the difference between them. Give one example of each. ​

Generally

There are two types of vaporization , and they are

Evaporation Boiling

Evaporation

Here privatization of liquid will only happen at the surface of the liquid exclusion then other sections of the liquid

Boiling

This is is a phenomenon that occurs throughout the liquid

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A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is

Answers

Answer:

0.02N

Explanation:

According to Newton's 3rd Law of motion, the bee exerts the same force on the bowling ball as the bowling ball exerts the force on the bee.

We have that for the Question "A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is" it can be said that The force the bee exerts is

F=0.02N

From the question we are told

A 60kg bowling ball collides with a 0.005kg bee with a force of 0.02N. The force the bee exerts is

Generally the Newtons  equation for Motion  is mathematically given as

This law perceives two bodies who collide as having forces which are equal as the magnitudes in opposite directions

Therefore

V^2= 2as

Hence

The force the bee exerts is

F=0.02N

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Can anyone please explain this point with an example. I have presentation tomorrow.

Energy efficiency can either be achieved by either reducing the quantity of energy consumption to produce certain amount of products or producing increased number of products from the same quantity of energy.​

Answers

Explanation:

Efficiency is a way of describing the amount of useful ​output​ a process or machine can generate as a percentage of the ​input​ required to make it go. In other words, it compares how much energy is used to do work versus how much is lost or wasted to the environment. The more efficient the machine, the less energy wasted.

For example, if a heat engine is able to turn 75 percent of the fuel it receives into motion, while 25 percent is lost as heat in the process, it would be 75 percent efficient. Out of the original 100 percent of the fuel, 75 percent was output as useful work.  

the equation:

energy efficiency =useful output energy/total input energy

In Material Science, If The Material Is Linearly Elastic, The Stress And Strain Are Directly Related To The Equation Below: E=Εσ

Answers

As long as the applied stress is removed, a material that is linearly elastic experiences stress and strain that are directly proportional within the elastic limit.

In a material that is linearly elastic, the Young's modulus (E), stress, and strain are all related by the equation you supplied, E =. Here is a quick definition of each phrase:

(E) Young's modulus It is a way to gauge how hard or stiff a material is. Within the elastic limit of the material, it indicates the stress to strain ratio. The stiffer the material, the higher the Young's modulus.

Stress (): The force exerted to a material's surface area is called stress. The internal resistance of a material to deformation under an applied force is measured by stress.

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PLEASE ANSWER THIS ASAP THIS IS A SCIENCE QUESTION NO LINKS

PLEASE ANSWER THIS ASAP THIS IS A SCIENCE QUESTION NO LINKS

Answers

Answer:

I believe the answer would be kinetic energy to thermal energy.

Explanation:

Thermal energy is the heat of the brakes, and the kinetic energy would be when the car is in motion before stopping.

Yeah I also think its kinetic to thermal

A photon with an energy Eγ = 2.09GeV creates a proton-antiproton pair in which the proton has a kinetic energy of 95.0 MeV . What is the kinetic energy of the antiproton? Note: m_p c² = 938.3 MeV

Answers

Given a photon with an energy of 2.09 GeV that creates a proton-antiproton pair, with the proton having a kinetic energy of 95.0 MeV, we can calculate the kinetic energy of the antiproton. By using conservation of energy, we can determine that the kinetic energy of the antiproton is also 95.0 MeV.

According to the conservation of energy, the total energy before and after the creation of the proton-antiproton pair must be the same. Initially, we have a photon with an energy Eγ = 2.09 GeV. After the pair creation, we have a proton and an antiproton.

Let's denote the kinetic energy of the antiproton as \(KE_{ap}\). The mass of a proton is given by \(m_pC^{2}\) = 938.3 MeV, where c is the speed of light. The total energy after the pair creation is the sum of the kinetic energy of the proton (\(KE_p\) = 95.0 MeV) and the kinetic energy of the antiproton (\(KE_{ap}\)).

Therefore, we can write the equation: Eγ =\(KE_p\) + \(KE_{ap}\)

Substituting the given values, we have: 2.09 GeV = 95.0 MeV +\(KE_{ap}\)

To find the kinetic energy of the antiproton, we solve for \(KE_{ap}\): where \(KE_{ap}\) = 2.09 GeV - 95.0 MeV

Converting the units to MeV: \(KE_{ap}\) = 2.09 × \(10^3\) MeV - 95.0 MeV = 1995 MeV - 95.0 MeV = 1900 MeV

Thus, the kinetic energy of the antiproton is 1900 MeV, the same as the kinetic energy of the proton.

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quantum numbers: an electron in a hydrogen atom has orbital quantum number l = 7. how many possible values of the magnetic quantum number ml could it have?

Answers

An electron in a hydrogen atom with an orbital quantum number (l) of 7 can have a total of 15 possible values for the magnetic quantum number (ml).

The magnetic quantum number (ml) describes the orientation of the orbital in space and can have values ranging from -l to +l, including zero. In this case, since the orbital quantum number (l) is 7, the possible values for ml would be -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, and 7.

The magnetic quantum number represents the different orientations of the electron's orbital around the nucleus. The value of l determines the shape of the electron's orbital, with higher values indicating more complex shapes. In the case of l = 7, the electron's orbital would have a highly complex shape, consisting of multiple nodes and lobes.

Each value of ml corresponds to a different orientation of the orbital in space. For example, if ml = 3, it means the electron's orbital is oriented in a specific direction, while ml = -2 would represent a different orientation. Therefore, in the given scenario, an electron in a hydrogen atom with l = 7 can have a total of 15 possible values for ml, allowing for a wide range of orbital orientations.

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10. WIMPS and MACHOS cannot be seen or felt.
True
False

Answers

Answer:

false I believe is the right answer

Answer:

True

Explanation:

When describing motion, what is a frame of reference? (1 point)
O Any numerical measurement of the motion.
O The point of origin of the motion
OA system of reference points used to determine position and velocities of objects.
O An x-y grid with yourself at the origin.

Answers

C. When describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.

What is frame of reference?

A frame of reference is an arbitrary set of axes with reference to which the position or motion of something is described or physical laws are formulated.

What is the importance of frame of reference?

Frame of reference serves a valuable purpose, because it enables us to make more accurate measurement of our position, displacement, velocity and the total distance traveled.

Also, a frame of reference consists of an abstract coordinate system and the set of physical reference points that uniquely fix the coordinate system and take measurements within that frame.

In other words, it is a system or base, on which motion of an object is determined.

Thus, when describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.

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Which variables must be held constant for Boyle's Law to apply?
A. pressure and volume
C. temperature and moles (amount of gas)
B. volume and temperature
D. volume and moles (amount of gas)​

Answers

Boyle's Law applies when the variables of pressure and volume are held constant. Boyle's Law states that at constant temperature, the pressure of a given amount of gas is inversely proportional to its volume. In other words, as the volume of a gas decreases, its pressure increases, and vice versa, as long as temperature remains constant.

To apply Boyle's Law, it is crucial to hold the variables of pressure and volume constant while investigating the relationship between them. This means that any changes in pressure should occur due to changes in volume alone, without any alterations in temperature or the amount of gas (moles).

If the temperature or the amount of gas changes, it can impact the relationship between pressure and volume, leading to deviations from Boyle's Law. Temperature influences the kinetic energy of gas molecules, while the number of gas molecules affects the frequency of collisions within the container. Thus, to isolate the inverse relationship between pressure and volume described by Boyle's Law, temperature and moles (amount of gas) need to be kept constant.

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Why does a balloon when robbed on a wall sticks to the wall

Answers

Answer:

static electricity

Explanation:

what is the magnitude of positive charges stored on one plate? what is the magnitude of negative charges stored on the opposite plate?

Answers

One plate of the capacitor holds a positive charge Q and the other plate holds a negative charge -Q.

When charging a capacitor, a single electron is first added to one side of the capacitor and then the charge moves so that the electron has an electric field that repels the other electrons.

This electric field penetrates space and pushes electrons into the other plate, giving that plate an induced positive charge. This will give you the same amount of charge on both plates.

So one plate of the capacitor holds a positive charge Q and the other plate holds a negative charge -Q.

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What is the equation for burning a fossil fuel

Answers

Answer:

Fuel + O2 → CO2 + H2O

Explanation:

Please I need help I know that I put it in the wrong subject I did it on purpose please help me..

Why is loyalty important citizenship?
CER

Claim:

Evidence:

Reasoning:

Answers

Answer:

Loyalty-Being loyal is important to being a good citizen because it shows that you acknowledge the effort others have put in to what you are doing and it shows that you enjoy what you are doing. Loyalty is important to a productive community because it promotes good work and effort

Explanation:

Please help chemistry, I'm stuck
9 mol P4010 forms 36 mol H3PO4, while
51 moles H2O form 34 moles H3PO4.
How many moles of H3PO4 form during
the reaction?
? ] mol H3PO4
Round your answer to the ones place.

Please help chemistry, I'm stuck9 mol P4010 forms 36 mol H3PO4, while51 moles H2O form 34 moles H3PO4.How

Answers

Answer:

???

Explanation:

Not sure to which reaction the question refers

 but here is the simplest balanced equation

    P4 O10     +  6  H2 O ======>  4  H3 PO4  

So the answer may be   4 moles

If the reaction is using 9 moles of PO4   and 51 Moles of H2O

  the H2O will limit the number of moles of H3PO4 produced to 34 moles      this may be the answer the Q is looking for....H2O is the limiting reagent

The number of moles of H3PO4 form during the reaction is 4.

What is meant by limiting reagent ?

Limiting reagent of a reaction is defined as the reactant that is being completely used up in the reaction.

Here,

Given that,

The number of moles of P₄O₁₀ = 9

The number of moles of H₂O = 51

If 9 moles of P₄O₁₀ can form 36 moles of H₃PO₄, 1 mole of P₄O₁₀ can form 36/9 = 4 moles of H₃PO₄

The balanced equation for the reaction can be written as,

P₄O₁₀ + 6H₂O ⇒ 4H₃PO₄

From the equation, we can say that 1 mole of P₄O₁₀ and 6 moles of H₂O will form 4 moles of H₃PO₄

H₂O is the limiting reagent of this reaction.

Hence,

The number of moles of H3PO4 form during the reaction is 4.

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