a car with an initial velocity of 16.0 meter per second east slows uniformly to 6.0 meters per second east in 4.0 seconds. what is the acceleration of the car during this 4.0 second interval.

Answers

Answer 1

The acceleration of the car during [tex]4.0 s[/tex] is [tex]\boxed{-2.5\,{\text{m/}}{{\text{s}}^{\text{2}}}}[/tex] i.e. towards the west.

Further explanation:

Acceleration is caused due to the force exerted on the body. In case when body is in equilibrium, the net force on the body will be zero therefore, acceleration will also be zero.

In case when body is moving with certain initial velocity and the net force on the body is zero, body will continue to move with the same velocity or we can say body is moving with uniform velocity.

Given:

Initial velocity of the car is [tex]16\text{ m/s}[/tex] towards east.

Final velocity of the car is [tex]6\text{ m/s}[/tex] towards east.

Time interval is .[tex]4.0\text{ s}[/tex].

Concept:

Instantaneous acceleration is defined as the rate of change of velocity with respect to time. Average acceleration is defined as the change of velocity over a certain period of time.

Mathematically,

[tex]\boxed{a = \dfrac{{\Delta V}}{{\Delta t}}}[/tex]                 ……(1)

Here, [tex]a[/tex] is the average acceleration of car, [tex]\Delta V[/tex] is the change in velocity and [tex]\Delta t[/tex] is the time interval.

Write the expression for change in velocity

[tex]\Delta V = {V_{\text{f}}} - {V_{\text{i}}}[/tex]                       …… (2)

Here, [tex]{V_{\text{f}}}[/tex] is the final velocity of car and [tex]{V_{\text{i}}}[/tex] is the initial velocity of the car.

Velocity is a vector quantity so take magnitude as well as direction of the velocity, while substituting in the above expression.

Let’s assume unit vector in the east direction is [tex]\hat i[/tex] and unit vector in west direction is [tex]- \hat j[/tex].

Substitute [tex]6\,\hat i[/tex] for [tex]{V_{\text{f}}}[/tex] and [tex]16\,\hat i[/tex] for [tex]{V_{\text{i}}}[/tex] in equation (2).

[tex]\begin{aligned}\Delta V&=\left( {6{\kern 1pt} \hat i} \right) - \left( {16\,\hat i\,} \right)\\&=10\,\left( { - \hat i} \right)\\\end{aligned}[/tex]

Substitute [tex]10\,\left( { - \hat i} \right)[/tex] for [tex]\Delta V[/tex] and [tex]4.0\text{ s}[/tex] for [tex]\Delta t[/tex] in equation (1).

[tex]\begin{aligned}a&=\frac{{\left( { - 10\,\hat i\,{\text{m/s}}} \right)}}{{\left( {4.0\,{\text{s}}} \right)}} \\&=2.5\,\left( { - \hat i} \right)\,{\text{m/}}{{\text{s}}^{\text{2}}} \\ \end{aligned}[/tex]

Thus, the acceleration of the car during [tex]4.0 s[/tex] is [tex]\boxed{-2.5\,{\text{m/}}{{\text{s}}^{\text{2}}}}[/tex] i.e. towards the west.

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords:

Car, initial, velocity, 16.0 m/s, east, 16 m/s, 16 meter per second, 16.0 meter per second, uniformly, 6.0 m/s, 6 m/s, 6.0 meter per second, 6 meter per second, 4.0 second, 4.0 s, 4 second, 4 s, acceleration, during, interval.

Answer 2
Final answer:

The car decelerated at a rate of -2.5 m/s² east during the four-second interval.

Explanation:

The acceleration of a body can be calculated using the formula a = Δv/Δt, where 'a' is acceleration, 'Δv' is the change in velocity and 'Δt' is the change in time.

Here, the change in velocity (Δv) is the final velocity minus the initial velocity, hence Δv = 6.0 m/s - 16.0 m/s = -10.0 m/s. The change in time (Δt) is 4.0 seconds.

Plugging these values into our formula, we get a = -10.0 m/s / 4.0 s = -2.5 m/s².

The negative sign indicates that the car is decelerating or slowing down.

Therefore, the acceleration of the car during this 4.0 second interval is -2.5 m/s² east, meaning it is slowing down.

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Related Questions

How can the rate of a reaction be increased?


lowering the temperature


decreasing the amount of reactants


having more surface area


diluting a solution

Answers

Answer:

C. Having more surface area

When the reaction involves solids, an increased surface area of it will result in an increased reaction rate. The higher the temperature, the faster the reaction rate will be too. Lowering the temperature, decreasing the amount of reactions, and diluting a solution will decrease the reaction rate

Answer:

having more surface area

Explanation:

What slows down neutrons?

Answers

Clearly, an obvious way to make a reactor work, and to make use of this characteristic of the 235U(n,f) cross-section, is to slow down the fast, fissionneutrons. This can be accomplished, for example, when the neutrons collide with nuclei and scatter in some substance (a moderator).

which of these is an element? A. oxygen B. sodium chloride C. water D. air

Answers

A. Oxygen 
Would be the correct answer.
Hope this helps! :)

an object moving at a constant velocity travels 274 m in 23 s. what is its velocity?

Answers

V= 274 meters / 23 sec

V= 11.91 meters per sec

Answer:

Velocity, v = 11.91 m/s

Explanation:

It is given that,

Distance covered by the object, d = 274 m

Time taken, t = 23 s

We need to find the velocity of the object. It is given by distance covered divided by total time taken i.e.

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{274\ m}{23\ s}[/tex]

v = 11.91 m/s

So, the velocity of the object is 11.91 m/s. Hence, this is the required solution.

Will give BRAINLIEST!
A limestone plateau has no surface water. All the water is pulled underground through cracks and crevices in the surface. What most likely will cause the underground of the plateau to change over time?

Physical weathering due to frost wedging
Physical weathering due to abrasion
Chemical weathering due to oxygen
Chemical weathering due to water

Answers

A limestone plateau has no surface water. All the water is pulled underground through cracks and crevices in the surface. What most likely will cause the underground of the plateau to change over time?

Physical weathering due to frost wedging


Physical weathering due to abrasion


Chemical weathering due to oxygen


Chemical weathering due to water  Correct Answer

Answer: Chemical weathering due to water. fyi i did the test.

Most earthquakes occur in areas close to where tectonic plates meet. There are earthquakes in San Francisco. What can be concluded from this information?

A) San Francisco is far away from an area where tectonic plates meet.
B) San Francisco is close to an area where tectonic plates meet.
C) San Francisco is close to Luzon, an island in the Philippines.
D) San Francisco is likely to experience a volcanic eruption in the near future.

Answers

B. To have an earthquake there must be a fault line (where two or more tectonic plates meet) so if San Fran. has earthquakes they’re on a fault line.

Answer:

B) San Francisco is close to an area where tectonic plates meet.

Explanation:

According to the question most earthquakes occur in areas close to where tectonic plates meet. The best option that can be concluded from the earthquakes occurring in Francisco is that San Francisco is close to an area where tectonic plates meet. The close proximity of San Francisco to where tectonic plates meets will likely cause earthquake in that region.

Generally, the earth is divided into different plates. These tectonic plates might be oceanic crust or continental crust. The plates are constantly moving. The plates might be moving away from each other(divergence) , colliding with each other(convergence) or moving past each other (transform).

The area where these plates meets are usually area of potential earthquakes. This boundary are area of minor or major earth quake. Usually , aesthenospheric material are introduce to the surface through this boundary.  

The smallest part of an element that can still be identified as that element is a(n) _____.

Answers

it’s an Atom so this is the answer


Seagrasses are flowering plants. Forty-nine species in 12 genera are known. The flowers are simple and open underwater; pollen is transported by waves and currents. However, they also reproduce vegetatively via rhizomes and form dense mats or meadows often composed of a single species. Totally immersed in seawater, the long, linear leaves have no stomata. The plants never exchange gases with the atmosphere. They absorb carbon dioxide that is dissolved in the water and use the oxygen they themselves produce during photosynthesis.
Considering the characteristics of seagrass, you will most likely find seagrasses in which ocean zone(s)?
A) the ocean basic and the abyss
B) the continental shelf, slope, and rise
C) the continental shelf and the sunlight zone
D) the continental shelf and slope; the sunlight and twilight zones

Answers

i just took the test and its c

After considering the characteristics of seagrass, we find that the seagrass is from the continental shelf and the sunlight zone. Hence, option C is correct.

What is Photosynthesis?

In order to synthesize, or create, their own food source, plants must consume light energy, hence the name "autotroph." There is a common misconception that when a plant is placed in soil, watered, or exposed to the sun that it is being "fed," although none of these actions are actually regarded to be feeding.

Instead, plants produce glucose, a type of sugar that they require to thrive, using sunshine, water, and gases from the atmosphere. Every plant, every type of algae, and even some bacteria engage in this process, which is known as photosynthesis. Plants require carbon dioxide, water, and sunlight to carry out photosynthesis.

Hence, this concludes that option C is correct.

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What of the following are not examples of data

Answers

Do the work the fam there are in shortcuts in life
theories are not examples of data

Does A= 6.4 B=12 C=12.2 Form a RIGHT TRIANLGE?

Answers

to answer this question, you must remember the equation:

a²+b²= c²

(6.4)² + (12)²=   (12.2)²

40.96 + 144 = 184.96
 (12.2)² = 148.84

184.96 ≠ 148.84

This cannot be a triangle

hope this helps

a high school student ran the 100 meter dash in 12.20 seconds. find the velocity in meters per second and kilometers per hour.

Answers

v= 100 m/12,2s
v≈ 8,2 m/s = 29,52 km/h

four main parts of a spiral galaxy

Answers

The 'Bulge', the 'Disk', the 'Spiral Arms', and the 'Halo' those are four parts of a spiral galaxy. Try finding out the many different types of galaxies to understand which is which.

The four main parts of a spiral galaxy are the disk, bulge, halo, and the signature arms.

What do you mean by the spiral galaxy ?

In a spiral galaxy, the rotating disc is surrounded by spiral 'arms' that extend outward from a compact center region. A spiral galaxy is the Milky Way. Galaxies can be divided into four categories: spiral, barred spiral, elliptical, and irregular.

Most spiral galaxies are found in the Universe's low-density regions. They hardly ever appear in the center of galaxy clusters. The Milky Way, our own galaxy, is believed to be a spiral galaxy with a central bar.

The disk, bulge, halo, and distinctive arms are some of the distinguishing characteristics of spiral galaxies. Younger stars are often located in the disk, which emits a bluish tint and is composed of gas and space dust.

Thus, the disk, bulge, halo, and the signature arms are the four main parts of a spiral galaxy.

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Why is it nessesary to have an independent variable that is changed by the experimenter during an experiment

Answers

It's important to have a independent variable because if ever thing was the same you will get the same result. Plus you don't want to have same results because it's a experiment . Also you will need a independent variable to do a experiment .

If I spacecraft seems to be Motionless in deep space is given some type of quick push what will happen

Answers

It will stay in motion unless an outside force slows it down.

Answer:

Will remain in motion until an external force is applied.      

Explanation:

According to Newton's first law of motion, a body continues to be in state of rest or motion, until and unless an unbalanced, external force acts on it.

In deep space, there is no external force. If a motionless spacecraft uses thrusters to give a push, the spacecraft will continue to be in motion until an unbalance external force acts on it again to stop it or increase its speed or change direction.

a hollow tennis ball and a lead filled tennis ball are dropped off a tall building. which reaches the ground first, the hollow ball, or the lead filled ball

Answers

Lead filled ball because it is less affected by air resistance

The mass of a substance was found to be 8.2 g. By using the water displacement method the volume was found to be 3.6 cm3. Calculate the density

Answers

D= M/V

D=8.2/3.6

D= 2.3g/ml

Answer:

D= 2.3g/ml

Explanation:

PLEASE ANSWER 14-25 ASAP
Thanks

Answers


14. that statement is trueEven though it's technically not required by law, participating in governmentis actually the duty of every citizen (such as spending your time to do jury duties involved in maintaining the law that imposed for the people in your community)
15. That statements is falseThe constitution put one exception for this which is the trial for impeachmentIn the trial for impeachment, only relevant government officials are allowedTo be involved in the decision making
16. That statement is trueBoth state and the federal government has the power to create and collect taxesOne purpose to this is to make it easier for the government in the collection processall across the states
17. That statement is trueSince constitution will basically become a supreme law that control all states in the nationThe majority of states must be agree to ratificate it to ensure that the amendment is able to beadopted to the society that exist in those states
18. That statement is trueIf the power is not delegated to the federal government, we can assume that the magnitude is smallenough for the local government to handle. If the power is not delegated to both the federal or the states,The power will be given to the people
19. That statement is falseThe number of naturilzed citizens according to US.gov is around 56%. This percentage indicatesthat the majority of citizens is naturalized. But i think, we can't say that 'almmost all' citizens Do.
20. That statement is FalseThe power of Impeachment is held by the member of the senates alone. The supreme court cannot do anythingabout it unless it has the votes from 3/4 of the senates.
21. The answer is checks and balancesThis system separate Government into three branches and divide the power at the same time.The executive held the power to execute the law, the Legislative branch has the power to create the law, and The judicery has the power to interpret the law
22. The answer is Bill of rightsThe intial draft of the constitution actuall did not touch several topics that caused some inequality andrestrictions among races, gender, or religion. So, James Madison created 10 amendments to the constitutionthat is known as the bill of rights
23.The answer is native AmericansGovernment actions to steal the natives' land to turn it into profit basically violate thie own writtenamendments.To pay up for this, the government still made several programs that benefit citizens withnative american ancestors.
24. The answer is Federal systemThe federal system divides the government into one strong central government and several smaller local Government. One benefit of this system is to ensure that the Government could micromanage the programs thatit imposed to the citizens all across the states
25. The answer is the first amendmentThe first amendment guarantees the citizens of freedom of religion by preventing the government establishmentsTo create laws that benefit only the people from certain religions. It also gives the right for the people tochoose any religions that we believed in as long as we do not harm others

Select answer about motion and newtons law and explain why it's correct 23POINTS NEED ASAP

Answers

The train would need the greatest amount of force due to weight! If you think of it, a baseball won't need much force to stop it, but if you have a heavy train, it will need excessive force to stop the train. The answer would be #3


I hope this answer helps!

Sorry if it doesn't make sense, as I don't know that much about physics! I am just thinking of what makes sense.

What two scientific laws or principles contribute to the total amount of lift?

Answers

The answer is the Bernoulli principle and Newton’s third law of motion.The Bernoulli principle states that as the velocity of fluid flow intensify, the pressure applied by that fluid decreases. In other words, faster fluids have less pressure than slower fluids.While Newton’s third law of motion states that for every act, there is a like and opposed reaction.

why is the mass of an atom’s electrons not included in the atom’s mass number

Answers

The electron is so light and so little mass that it basically adds nothing to the mass so the scientists decided not to include it

The world's highest shooting water fountain is located in fountain hills Arizona. the water rises to a height of 171 meters. A) what is the initial speed of the water? B) how much time does it take for the water to reach the highest point?

Answers

A) 57.92 m/s. Using the kinematic equation: v(final)^2 = v(initial)^2 + 2*g*y; v(final) = 0 at max height, g = -9.81m/s^2, y = 171 m. Thus, v(initial) = 57.92 m/s. B) 5.90 seconds. Using the kinematic equation: v(final) = v(initial) + g*t; t = time of travel. Substituting all known values to the equation and solving for the unknown, 't' would result to 5.90 seconds.

How does a frame of reference change the way you accurately describe the motion of an object?

Answers

If a person were standing on the sidewalk, how fast would she say the apples are moving?
Since she will see them exactly the same way as me (we're both in the same reference frame), she will say 15m/s.
Now the truck starts to move forwards at 20m/s. I am still throwing apples forwards, exactly the same as I was throwing them before, at 15m/s.
If I am really not paying attention to what’s going on around me (like the fact that I am standing in the back of a moving truck), how fast would I say the apples are moving?
Still 15m/s! Relative to me, I can only make an apple move away from me at 15m/s, so that’s how fast I measure the apple moving away from me.
How fast does my friend on the sidewalk say the apple is moving?
Well, even before I throw it, she’ll say that the apple is moving at 20m/s (the speed of everything on the truck).
When I have thrown the apple forward, adding more velocity to it, she will say it is going at (20m/s + 15m/s) 35m/s!
Now I turn around and start throwing the apples from the rear of the truck, backwards!
I will still say that my apples are moving at 15m/s, because from my way of looking at it, that’s how fast the apple is moving. The only thing I might say that is different is that it is -15m/s, since even I should be able to notice they are going in the opposite direction now.
My friend on the sidewalk will say that the apple is moving at (20m/s + -15m/s) 5m/s!
Your frame of reference helps to to describe the velocity of the object, rather than simply the speed, and the displacement of an object rather than its distance. Velocity and displacement are "vector quantities" meaning they provide a value, such as speed or distance, relative to a reference point.

Velocity is not only the measure of speed, but also direction. The same is true of displacement with regard to distance, it not only describes how far an object has traveled, but also the direction in which it traveled relative to a reference point. 

Choose one of the six fitness related components that are used in gymnastics.

Agility
Speed
Reaction Time
Balance
Coordination
Power

Answers

Balance would be the answer to this questions

Two electrical circuits have the same 15-volt batteries. Circuit A has 2 ohms of resistance, and circuit B has 6 ohms of resistance. Which of the following statements is correct?
 (1 point)
• Circuit B has the same amount of current as circuit A.
• Circuit B has more current than circuit A, as it has less resistance.
• Circuit B has less current than circuit A, as it has more resistance.
• Circuit B has less current than circuit A, as it has less resistance.

Answers

Circuit B has less current than circuit A, as it has more resistance. This is the correct statement.

Using Ohm's law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R), we can determine the current in each circuit. With both circuits having a 15-volt battery and Circuit A having a resistance of 2 ohms, using the formula I = V/R, we calculate the current in Circuit A to be 7.5 amperes. Similarly, with Circuit B having a resistance of 6 ohms, its current is 2.5 amperes. Consequently, since Circuit B has a higher resistance, it allows for less current to flow compared to Circuit A.

Which of the following is example of direct observation

Answers

You didn't provide any answers, so I'll make one up.

A child eating a piece of candy. You are watching the child eat it, therefore it is a direct observation.
Final answer:

Direct observation is a crucial method in scientific studies, allowing researchers to collect firsthand information. Examples include a student observing the sky to note weather conditions and a biologist using a GPS-enabled collar to track a grizzly bear's movements. These instances exemplify the use of senses or instruments to acquire data directly from the source.

Explanation:

The request for an example of direct observation highlights the importance of firsthand experience in data collection in scientific studies. Direct observation involves actively acquiring information through our senses or instruments without any intermediary. One classic example of direct observation is when a student, during a field trip, looks up at the sky to record the weather conditions. This is a simple yet profound activity where the observer uses their sense of sight to gather data about the sky's color, cloud formations, and possibly even the position of the sun or moon. Additionally, a biologist tracking the movement of a grizzly bear using a GPS-enabled collar operates through direct observation, as they collect data generated from the exact source of the phenomenon being observed.

In both instances, the observers use their senses or scientific instruments to gather information about their surroundings or the subject of their study. Whether it is the student noting down the sky's appearance in a journal or the biologist examining GPS data to understand a bear's migration patterns, both scenarios exemplify direct observation. These examples underline the significance of direct observation in acquiring accurate, firsthand information that lays the groundwork for further scientific inquiry and analysis.

Someone help I’m dumb

Answers

Interact: Meet
Indicate: Show

Answer:

Meet and show

Explanation:

Sound waves that start in air can move into water. This is because it is __________ that is transferred and not .
a.waves, matter
b.energy, waves
c.energy, particles
d.particles, energy

Answers

The correct answer is B

Answer:

the answer is c I got right on USA test prep

a croquet ball, after being hit by a mallet,slows down and stops. do the velocity and acceleration of the ball have the same signs

Answers

It depends. While slowing down acceleration will have negative sign but the velocity depends upon the initial point sonce velocity is a vector quantity if it is going back towards the initial position it will reduce but if it passes the initial position and goes back it will have negative sign....so it totally depends upon the situation.

Based on the periodic table above, which of the following elements is a metal?

Answers

The answer is lithium

Answer:

k

Explanation:

k

A 48-kg boy is running on a track at 6m/s . What is the boys kinetic energy?

Answers

Given:
m = 48 kg, the mass of the boy
v = 6 m/s, the boy's running speed

By definition,
 the kinetic energy (KE) of the boy is
KE = (1/2)*m*v²
     = 0.5*(48 kg)*(6 m/s)²
     = 864 J

Answer: 864 J
864 J In order to calculate kinetic energy the mass of the moving body and it's velocity must be known. In this case the mass is 48 kg and the velocity is 6 m/s. The formula for kinetic energy is: Kinetic Energy = 1/2 * (Mass) * (Velocity^2) = 1/2 (48 kg) * ((6 m/s)^2) = 864 kg* (m/s)^2 = 864 J
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