Problem 5. A bullet leaves a rifle with a velocity of 452 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.93 m. Determine the acceleration of the bullet.

Answers

Answer 1

Answer:

1.1 x 10⁵m/s²

Explanation:

Given parameters:

Velocity  = 452m/s

distance  = 0.93m

Unknown:

Acceleration of the bullet  = ?

Solution:

To solve this problem, we use one of the kinematics equation which is given below:

           V² = U²  + 2aS

V is the final velocity

U is the initial velocity  = 0m/s

a is the unknown acceleration

S is the distance traveled  

 So;

          452²   = 0²  + (2 x a x 0.93)

          204304  = 1.86a

               a  = 1.1 x 10⁵m/s²


Related Questions

how much does it cost to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/kwh?

Answers

It will cost 0.324 Dollars to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/ kwh.

kwh is commercial unit of electric energy. 1 unit= 1 kwh.

When 100 w power device is run for 1 hour, the amount of electrical energy consumed is 1 kwh.

We will find total units of electrical energy consumed in the given question.

energy consumed by 6 bulbs = 6×100= 600 w( joules per second).

The value in kwh is = 600÷1000

                                = 0.6kwh

Total energy consumed in 6 hours is = 0.6×6 = 3.6 kwh

So, the cost is = 3.6×0.09 = 0.324 dollars.

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Which phrase provides the best context clue for the meaning of the word tabulate?​

Answers

Answer:

round and count

Explanation:

means arrange, order, organize, etc

Answer:^what he meant was record and count

Explanation:

How much heat is needed to change 7.2 kg of solid ethyl alcohol at "-211*C" to liquid at 50.0*C?
Please show all work! Thank you!

How much heat is needed to change 7.2 kg of solid ethyl alcohol at "-211*C" to liquid at 50.0*C? Please

Answers

There is a requirement for 1,638,000 Joules of heat.

How do you convert joules into heat?

Q=I2Rt provides the Joule's heating formula. Joule's heating formula states that the amount of heat produced is proportional to the length of time that the electrical resistance and current are both constant.

The following equation must be used:

Q = m × Lfus + m × Cp × ΔT

Ethyl alcohol has a heat of fusion of 105 J/g and a specific heat capacity of 2.44 J/g°C.

The amount of ethyl alcohol is specified as 7.2 kg, or 7,200 g.

The ethyl alcohol must be melted at a temperature of:

Q1 = m × Lfus =

7,200 g × 105 J/g

= 756,000 J

In order to raise the temperature of the liquid ethyl alcohol from 0°C to 50°C, we must determine the amount of heat needed:

ΔT = 50°C - 0°C

= 50°C

The amount of heat required to raise the temperature of the liquid ethyl alcohol is:

Q2 = m × Cp × ΔT

= 7,200 g × 2.44 J/g°C × 50°C

= 882,000 J

As a result, the total amount of heat needed to transform 7.2 kg of solid ethyl alcohol from -211°C to 50.0°C into a liquid is:

Q = Q1 + Q2 = 756,000 J + 882,000 J

= 1,638,000 J

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A non plate boundary where mafic magmas are commonly produced, and if underwater, then with the extrusion of Pillow Basalts Diverging Plate Boundary Converging Plate Boundary Transform Plate Boundary ALL THREE of the above Diverging AND Converging Boudaries (only) "Hot Spot"

Answers

A "hot spot" is a non-plate boundary location where mafic magmas are commonly produced. If situated underwater, hot spots can result in the extrusion of pillow basalts.

Hot spots are distinct from diverging, converging, or transform plate boundaries. They occur as stationary areas of volcanic activity, arising from plumes of hot mantle material ascending through the Earth's crust. As tectonic plates move over these hot spots, volcanic activity ensues, often giving rise to chains of volcanic islands or seamounts, as seen in the case of the Hawaiian Islands.

The magma generated at hot spots tends to be mafic in composition, containing a higher proportion of basaltic lava. This contrast to the typically felsic magmas produced at plate boundaries makes hot spots significant in understanding the Earth's geology and volcanic processes.

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What does a filled-in circle mean on a pedigree?

Answers

The circle of the family tree symbol represents a female individual. Individuals are the main component of a family tree chart.

A pedigree chart is a graph showing the prevalence and incidence of a particular gene or organism and its ancestors from one generation to the next (most commonly humans, show dogs, and horses race). The Family Tree presents family information in an easy-to-read chart. We could simply call it a "family tree". The genealogy uses a standardized set of symbols, with squares representing males and circles representing females. Building the family tree is the story of the family, and as memories fade, details about previous generations can become uncertain.

Diamonds are used if the gender of the person is unknown. Individuals with associated phenotypes are indicated by solid (dark) symbols. Heterozygotes, when identifiable, are indicated by shaded dots in symbols or half-filled symbols.

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0.030 m3.
The balloon is compressed at a constant temperature causing the volume
decrease to 0.025 m3.
No helium leaves the balloon.
Calculate the new pressure in the balloon

Answers

Answer:

see below

Explanation:

P1V1 = P2V2

100 000 (.03)  = x ( .025)     x = 120 000 pa

A 2.0-cm-tall object is 70 cm in front of a converging lens that has a 35 cm focal length.
Calculate the image position.
Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.

Answers

Therefore, the image is formed at a distance of -70 cm from the lens and it is an inverted image with a height of 2.0 cm.

Given data:

Object height (h) = 2.0 cm, Object distance (u) = -70 cm, Focal length (f) = 35 cm

Lens formula is given as follows:

`1/f = 1/u + 1/v`

where, f = focal length of the lens, u = object distance from the lens, v = image distance from the lens

By using the lens formula,

the image distance (v) can be calculated as

:1/f = 1/u + 1/v1/35 = 1/-70 + 1/v1/v = 1/-70 - 1/35 = -3/210 = -1/70v = -70 cm

The negative sign indicates that the image is formed on the same side of the lens as the object.

Therefore, it is an inverted image.

The image height can be calculated using the magnification formula which is given as follows:

`m = -v/u`

where, m = magnification

v = image distance from the lens, u = object distance from the lens

Substituting the values, we get:

`m = -v/u`

`m = -(-70)/(-70)

`m = 1

The positive value of magnification indicates that the image is an upright image.

The height of the image can be calculated as:

`m = -v/u``1 = -v/(-70)`v = -70 cm

`h_i = m × h_o`

`h_i = 1 × 2.0 = 2.0 cm

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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped

Answers

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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how can the movement of energy can be tracked by observing the changes the energy causes to matter

Answers

Energy may take different forms (e.g. energy in fields, thermal energy, energy of motion). Within a natural system, the transfer of energy drives the motion and/or cycling of matter. The transfer of energy can be tracked as energy flows through a natural system.

A remote controlled toy car starts from rest and begins to accelerate in a straight line. The figure below represents "snapshots" of the car's position at equal 0.5 s time intervals. (Assume the positive direction is to the right. Indicate the direction with the sign of your answer.)

(a) What is the car's average velocity (in m/s) in the interval between t = 1.0 s to t = 1.5 s?

(b) Using data from t = 1.0 s to t = 2.0 s, what is the car's acceleration (in m/s2) at t = 1.5 s?

(c) Is the car's speed increasing or decreasing with time?

Answers

Answer:

Explanation:

is this marked??

(a). The car's average velocity between t = 1.0s to t = 1.5s will be - \(1\;m/s\)

(b). The car's acceleration at t = 1.5s will be - \(0.4\;m/s^{2}\)

(c). Car's speed is increasing with time.

We have a a remote controlled toy car that starts from rest and begins to accelerate in a straight line.

We have to determine -

The car's average velocity (in m/s) in the interval between -

        t = 1.0 s  to  t = 1.5 s.

The car's acceleration at t = 1.5 s.Determining whether car's speed increasing or decreasing with time.

What is Acceleration?

The rate of change of velocity with respect to time is called Acceleration. Mathematically -

\($a=\frac{dv}{dt}\)

According to the question, we have the following data for the Car -

t = 0s → x = 0m

t = 0.5s → x = 0.1m

t = 1.0s → x = 0.4m

t = 1.5s → x = 0.9m

t = 2.0s → x = 1.6m

PART - A

The car's average velocity between t = 1.0s to t = 1.5s will be -

\($v_{avg} = \frac{0.9-0.4}{1.5-1}= 1 m/s\)

PART - B

Velocity at t = 1.5 s will be -

\($v(1.5)=\frac{0.9}{1.5}= 0.6\;m/s\)

The car's acceleration at t = 1.5s will be -

\($a(1.5) = \frac{v}{t} = \frac{0.6}{1.5} = 0.4\;m/s^{2}\)

PART - C

Since, the acceleration of the car is positive, this means that the car is accelerating in the forward direction. Hence, its speed is increasing with time.

[ The following data was missing in your answer. The complete question would include this data also -

t = 0s → x = 0m

t = 0.5s → x = 0.1m

t = 1.0s → x = 0.4m

t = 1.5s → x = 0.9m

t = 2.0s → x = 1.6m ]

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The long, light-colored lines extending from many craters on the Moon are called rays and are ______.

Answers

Answer:

The long, light-colored lines extending from many craters on the Moon are called rays and are "crater rays".

Explanation:

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Wendy runs 800m East on a straight road and then she turns west and runs back 200m back. What would be the distant she travelled and her displacement.

Answers

Answer:

Answer is C

Explanation:

I took it already

Which of the following statements would be best described as an expression of an attitude that is low in accessibility and high in ambivalence?
A.
Frank: “I eat a banana for breakfast everyday. I’ve loved them since I was little.”
B.
Judy: “I really dislike bananas. I don’t know why. I just always have.”
C.
Ralph: “I’m not sure about bananas. I’d have to think about it.”
D.
Fiona: “I am a huge banana fan. I don’t know why. I just like them.”

Answers

Answer:

The answer is C. Ralph: “I’m not sure about bananas. I’d have to think about it.”

Explanation:

I did the practice.

Answer:

C.) Ralph: "I'm not sure about bananas. I'd have to think about it."

Explanation:

Just took the practice


What is electricity?

Answers

Answer:Electricity is the flow of electrons. All matter is made up of atoms, and an atom has a center, called a nucleus. When electrons are "lost" from an atom, the free movement of these electrons constitutes an electric current. Electricity is a basic part of nature and it is one of our most widely used forms of energy.

Explanation:

Answer:

Electricity is the set of physical phenomena associated with the presence and motion of matter that has a property of electric charge. Various common phenomena are related to electricity, including lightning, static electricity, electric heating, electric discharges and many others.a form of energy resulting from the existence of charged particles (such as electrons or protons), either statically as an accumulation of charge or dynamically as a current.

Explanation:

which three things are connected in the system that causes us to see the moon’s phases?

Answers

The three things that are connected in the system that causes us to see the moon's phases are the moon, the sun, and the Earth. As the moon orbits around the Earth, it also receives sunlight from the sun.

Depending on the moon's position in relation to the sun and the Earth, different portions of the moon's surface are illuminated. When the moon is between the sun and the Earth, we see the side of the moon that is not illuminated, which is known as the new moon phase. As the moon moves in its orbit, we see different portions of the illuminated side of the moon, which causes the different phases such as crescent, half-moon, and full moon. The changing phases of the moon occur due to the interaction of these three celestial bodies in the system, which is also known as the lunar cycle.

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LITERALLY PLZ HELP I WILL GIVE BRAINLIEST If you had the opportunity to interview an experienced scientist at NASA who has been involved in numerous space explorations, what would you want to know? Identify at least three specific questions that you would ask this scientist and briefly explain why you would ask these particular questions.

Answers

Answer:

What was your sleep situation like during your time in space? Did you get more or fewer hours of sleep than when you were on earth? I would be very interested in learning about their answer because they still have to perform tasks that require energy and obviously they would need to sleep but do they have to strap themselves down on a bed so they don't float away? Is it easy to fall asleep in space or would your body be confused because time is so much different that it doesn't even follow the same time zones as on earth? That is why I find this to be interesting for them to answer.

Did you have any activities to do aside from researching and your tasks that were mandatory? What would they have done in their free time? I can’t imagine simply doing work the whole time, did they get to bring along certain games or time wasters to do while in space? I would just be really curious to find out how they occupied their free time or if they even had free time.

What was the most difficult part about being in space? Was it terrifying or was the work overwhelming? Was it scary thinking about returning to earth or staying in space for too long? There are so many ways to answer this question so I would be very interested in understanding their fears and their reason for being afraid.

Explanation:

use the gram-schmidt procedure to find an orthonormal basis for the vector space spanned by the given vectors. (enter sqrt(n) for

Answers

The Gram-Schmidt procedure is used to find an orthonormal basis for a vector space spanned by given vectors. The resulting orthonormal basis provides a set of vectors that are mutually orthogonal and have unit lengths.

The Gram-Schmidt procedure is a method to construct an orthonormal basis from a set of linearly independent vectors. It involves a series of steps:

Start with the given set of vectors, let's say {v1, v2, v3, ..., vn}.

Set the first vector of the orthonormal basis as the unit vector of the first vector in the given set, i.e., u1 = v1 / ||v1||, where ||v1|| represents the norm (magnitude) of v1.

For each subsequent vector in the given set, subtract the projection of the vector onto the previously constructed orthonormal basis. This ensures that the new vector is orthogonal to the previous ones.

Normalize the resulting vector by dividing it by its norm to obtain the corresponding orthonormal vector.

Repeat steps 3 and 4 for all the remaining vectors in the given set.

By following these steps, we can construct an orthonormal basis for the vector space spanned by the given vectors. The resulting orthonormal basis will consist of vectors that are mutually orthogonal and have unit length, satisfying the desired properties.

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In your own words explain how energy is involved in physical changes and in chemical changes

Answers

Answer:

All adjustments in issue include changes in energy. Energy is either delivered or consumed. The energy is often in the form of heat, however it might be in the form of sound or light.

Explanation:

this is in my own words btw:)

A person holds a bucket of weight 60N and climbs vertically the distance of 5m. What is the work done by gravity?

Answers

Answer:

300 J (Joules)

A Joule will measure "the amount of work done when a force of one newton is exerted through a distance of one meter"

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A distance-time graph is a straight line for which of the following?


Question 2 options:


Constant Speed



Acceleration



Momentum



Average Speed

Answers

A distance-time graph is a straight line for constant speed.  In a distance-time graph, the x-axis represents time and the y-axis represents distance. When an object is moving at a constant speed, the distance it covers over time increases at a steady rate. This results in a straight line on the graph, where the slope of the line indicates the constant speed.

A distance-time graph shows the distance an object travels over a period of time. If the object is moving at a constant speed, then the graph will be a straight line. This is because the distance traveled in each unit of time is the same, so the slope of the line (which represents the speed) will be constant.

On the other hand, if the object is accelerating, the graph will not be a straight line, as the speed is increasing over time. Similarly, momentum has to do with the mass and velocity of an object, and is not directly related to distance and time. Average speed can also vary over time, so the graph would not be a straight line for this variable either.

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Question 1 of 10
How much thermal energy is needed to melt 1.25 kg of water at its melting
point?
Use Q = mass x latent heat of fusion.
Properties of water
Property
Value
Melting point
0°C
Boiling point
100°C
Cliquid
4.18 kJ/(kg.°c)
Latent heat of fusion
333 kJ/kg
Latent heat of vaporization
2260 kJ/kg

Answers

The thermal energy needed to melt 1.25 kg of water at its melting point is 416.25 kJ.

What is the latent heat of fusion?

The latent heat of fusion is the amount of thermal energy required to change the phase of a substance from a solid to a liquid state without a change in temperature.

When a substance is in a solid state, the molecules are packed closely together and are held in a rigid structure by intermolecular forces. As heat is added to the solid, the temperature of the substance increases until it reaches the melting point, which is the temperature at which the solid starts to change into a liquid.

At the melting point, the added thermal energy is used to break the intermolecular bonds that hold the molecules in the solid structure. The energy absorbed during this process causes the molecules to become less ordered and to move more freely, resulting in a liquid state. However, during the melting process, the temperature of the substance remains constant until all of the solid has melted.

The latent heat of fusion is a property of the substance and is defined as the amount of energy required per unit mass to change the phase from solid to liquid. It is usually measured in units of joules per kilogram (J/kg) or kilojoules per kilogram (kJ/kg).

The latent heat of fusion is an important concept in thermodynamics and is used in many applications, such as the melting of ice, the solidification of molten metals, and the formation of igneous rocks.

Here in the Question,

To calculate the thermal energy needed to melt 1.25 kg of water at its melting point, we can use the formula:

Q = mass x latent heat of fusion

where Q is the thermal energy required, and the latent heat of fusion is the amount of energy required to change the phase of a substance from solid to liquid without changing its temperature.

Substituting the given values, we get:

Q = 1.25 kg x 333 kJ/kg

Q = 416.25 kJ

Therefore, 1.25 kilogram of water requires 416.25 kJ of thermal energy to melt at its melting point.

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What are the types of motion that can be observed in a pendulum ? Some one please answer.√

Answers

Answer:

periodic motion

Explanation:

The massive object is affectionately referred to as the pendulum bob. When the bob is displaced from equilibrium and then released, it begins its back and forth vibration about its fixed equilibrium position. The motion is regular and repeating, an example of periodic motion.

what is the focal length of a magnifying glass that produces an angular magnification of 7.0 x when used by a person with a near point at 28 cm

Answers

The focal length of a magnifying glass can be calculated using the formula: magnification = (1 + (D/f)), where D is the distance between the object and the lens, f is the focal length of the lens.

Rearranging the formula to solve for f, we get: f = D/(magnification - 1).

Given that the angular magnification is 7.0 x and the near point of the person is at 28 cm, we can assume that the object is at the near point of the person, i.e., D = 28 cm. Substituting the values, we get f = 4 cm.

Therefore, the focal length of the magnifying glass that produces an angular magnification of 7.0 x when used by a person with a near point at 28 cm is 4 cm.

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at what angle with respect to the vertical does a diver under the water see the sunset? (the index of refraction of water is 1.34.)

Answers

The diver under the sea sees the sunset at an angle of 48.24 degrees from the vertical.

To find the angle at which a diver under the water sees the sunset, we need to consider the refraction of light at the water's surface. We can use Snell's Law to determine this angle.

1. Identify the known values:
   The index of refraction of air (n₁) is approximately 1.00
   The index of refraction of water (n₂) is 1.34
   The angle of incidence (θ₁) is 90 degrees, as the light rays from the sunset are coming in horizontally

2. Apply Snell's Law, which states: n₁ * sin(θ₁) = n₂ * sin(θ₂)
   Plug in the known values: 1.00 * sin(90) = 1.34 * sin(θ₂)

3. Calculate sin(θ₂):
   sin(90) = 1
   sin(θ₂) = 1 / 1.34 = 0.746

4. Determine the angle θ₂:
   θ₂ = arcsin(0.746) = 48.24 degrees

The diver under the water sees the sunset at an angle of approximately 48.24 degrees with respect to the vertical.

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it is difficult to walk on sand or ice,why?​

Answers

Answer:

no is not hard to walk on sand and yes it's hard for ice

Explanation:

ice is liquid

Most of the material that makes up Earth and all life on Earth, including humans, was formed
A. in the Big Bang.
B. inside the Sun.
C. inside stars that died before Earth formed.
D. in the atmospheres of nearby stars that are still shining and spraying material out into the galaxy.

Answers

C. inside stars that died before Earth formed.

Most of the material that makes up Earth and all life on Earth, including humans, was formed inside stars that died billions of years ago. As these stars exploded in supernovae, they released the elements and compounds that make up everything around us, including carbon, nitrogen, oxygen, and iron. These materials eventually coalesced into planets like Earth, which became home to living organisms. So, we owe our existence to the stars that came before us.

These stars underwent nuclear reactions, creating heavier elements that were later released into the universe during their death. This material eventually contributed to the formation of our solar system, including Earth and its inhabitants.

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Define what factors allow a population of a species to grow to a certain size and how they relate to carrying capacity

Answers

Answer:

Relationship between population size, carrying capacity, and limiting factors is described below.

Explanation:

1. There are four variables which govern changes in population size.

births

deaths

immigration

emigration

A population gains individuals by birth and immigration and loses individuals by death and emigration.

2. Populations vary in their capacity to grow. The maximum rate at which a population can increase when resources are unlimited and environmental conditions are ideal is termed the population's biotic potential.

3. There are always limits to population growth in nature. Populations cannot grow exponentially indefinitely. Exploding populations always reach a size limit imposed by the shortage of one or more factors such as water, space, and nutrients or by adverse conditions such as disease, drought and temperature extremes.

4. The factors which act jointly to limit a population's growth are termed the environmental resistance. The interplay of biotic potential and density-dependent environmental resistance keeps a population in balance.

5. Carrying Capacity

For a given region, carrying capacity is the maximum number of individuals of a given species that an area's resources can sustain indefinitely without significantly depleting or degrading those resources. Determining the carrying capacities for most organisms is fairly straightforward. For humans carrying capacity is much more complicated. The definition is expanded to include not degrading our cultural and social environments and not harming the physical environment in ways that would adversely affect future generations.

6. Population Impact

Homo sapiens is a species possessing a diversity of individual needs. Thus, sub-populations will have different requirements and different impacts on the environment. For example 100 million vegetarians will have a significantly different environmental impact than 100 million meat-eaters. This can be demonstrated by comparing the affect on water supplies by both sub-populations. About 1000 tons of water are needed to produce 1 ton of grain. Almost 40% of all grain is used in meat and poultry production. Add to this the amount of water that goes into the production of meat, and you can see that meat comsumption places more stress on global water supplies than grain consumption.

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Runner A takes 45 s to run 400 m. Runner B takes 48 s to run the same distance. Which runner has the greater average speed?​

Answers

runner A because they completed it in a less amount of time

I believe the answer is D but wanted to make sure.

I believe the answer is D but wanted to make sure.

Answers

Answer:

Yes you are right

Explanation:

hope this helps and I get the Brain thingy whatever it call

what do you mean by pressure​

Answers

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
P=F/A
Pressure is when forced is applied to an object
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"As attendance at school drops, so does achievement" is an example of what type of correlation? Negative Positive No correlation 2. edwards puts emphasis on the ""pleasure of god."" define the ""pleasure of god"" based on the use of this phrase in his sermon. Abigail is putting juice into cone-shaped containers to make frozen treats. She has approximately one quarter of a gallon, or 58 cubic inches, of juice to make the treats with. Eachcontainer has a height of 3 inches.Use the information to complete the table indicating the maximum number of treats that Abigail could make with 58 cubic inches of juice. Find statistical data online with at least 20 collected data values (if you wish to use data you have collected before you may, as long as there are at least data values).Using Excel, construct a histogram from your data.Using Excel, calculate the mean and standard deviation of your data.Draw or imagine a smooth curve through the tops of the bars on the histogram. Describe its shape (for examples, does it go straight across, look like a bell curve, or have another general shape?)About 68% of the data values lie between what two data values?About 95% of the data values lie between what two data values?Why would the answers to these questions be valuable for someone to interpreting this data? Suppose you believe it would be just as wrong to hurt, eat, cage, or hunt an animal as it would be to do the same to a human. What theory could you use to justify your belief?. Brad drives 527 miles on 17 gallons.How many miles does brad drive on one gallon? I know this is simple but i'm bad at math James correctly proves the similarity of triangles DAC and DBA as shown.HELP PLSSSS ASAP Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keiths age. The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?Question 5 options:A) $13.79 per ticketB) $12.55 per ticketC) $10.99 per ticketD) $11.21 per ticket How to find the length of a side of a triangle with only angles? Kelly corporation borrows $120,000 from first community bank. How would this transaction be recorded?. short notes on agriculture diversity of Nepal the third step of the scientific method uses a general hypothesis to develop a testable predication. this step involves the use of . If the mass of a solid is 25 g and its volume is 50 cm, what is its density? A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table. Total Shoreline (miles) 22 17 10 23 12 35 7 Maximum Depth (feet) 101 85 59 113 64 158 33 She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit: y = 4.26x + 10.908. Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline? A. 121 feet B. 132 feet C. 138 feet D. 143 feet Ethics is a branch of philosophy that seeks to discover what different moral beliefs different people do, in fact, hav? a.4. Consider the details in the selection from Song of Myself, in I Hear AmericaSinging, and in On the Beach at Night Alone. What can you infer aboutWhitman's attitude toward other people? Choose two options.He greatly appreciates other people.b. He likes to control the people around him.c. He thinks that most people are very foolish.d. He does not enjoy being around other people.e. He believes that he has a connection to other people.by Savvas Learning Company LLC. All Rights Reserved.1 ________ is based on the idea that it is easier for people to remember and retrieve tangible rather than abstract information. How did the attacks on 9/11 affect those who survived? the 17th century philosopher who believed that the mind is blank at birth and that most knowledge comes through sensory experience is