(4. A bus is moving at 25 m/s when the driver steps on the brakes and brings the bus to a stop in
3.0 s.
a. What is the average acceleration of the bus while braking?
b. If the bus took twice as long to stop, how would the acceleration compare with what you
found in part a?​

Answers

Answer 1

Answer:

(a)  the average acceleration of the bus while braking is 8.333 m/s

(b) if the bus took twice as long to stop, the acceleration will be half of the value obtained in part a.  [¹/₂ (8.333 m/s) = 4.16 s]

Explanation:

Given;

initial velocity of the bus, v = 25 m/s

time of the motion, t = 3 s

(a)  the average acceleration of the bus while braking

a = dv/dt

where;

a is the bus acceleration

dv is change in velocity

dt is change in time

a = 25 / 3

a = 8.333 m/s

(b) If the bus took twice as long to stop, the duration = 2 x 3s

a = 25 / (2 x 3s)

a = ¹/₂ x (25 / 3)

a = ¹/₂ (8.333 m/s) = 4.16 s

Thus, if the bus took twice as long to stop, the acceleration will be half of the value obtained in part a.

Answer 2

(a) The average acceleration of the bus while braking is 8.333 m/s.

(b) In the case when the bus took twice as long to stop, the acceleration will be half of the value obtained in part a.  [¹/₂ of 8.333 m/s) = 4.16 s]

Calculation of acceleration:

initial velocity of the bus, v = 25 m/s

time of the motion, t = 3 s

(a)  the average acceleration of the bus should be

a = dv/dt

Here,

a is the bus acceleration

DV is a change in velocity

dt is changed in time

So,

a = 25 / 3

a = 8.333 m/s

(b) If the bus took twice as long to stop, the duration = 2 x 3s

So,

a = 25 / (2 x 3s)

a = ¹/₂ x (25 / 3)

a = ¹/₂ (8.333 m/s)

= 4.16 s

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Related Questions

The volume of gas in a flexible container at a depth of 10 m/33 ft will expand to ______ its original volume if taken to the surface.

Answers

Answer:

Twice its original volume.

Explanation:

For diving applications, 10 m/33 feet of sea water is taken to exerts a gauge pressure that is the same pressure as the atmosphere, or one ata/bar.

This means that we add one ata/bar pressure for every 10 m/33 feet you descend.

The effect of this is that, at 10 m/33 ft, you're under an absolute pressure of two ata/bar, one from air and one from water. Adding another 10 m/33 ft to this depth to make it 20 m/66 ft, puts you under under three ata/bar of pressure and so on.

Descending to a depth of 10 m/33 ft, with a flexible container means that you have double the ata/bar pressure acting on you. If you decide to resurface, the pressure on the flexible container will reduce by a factor of two.

Since volume is inversely proportional to the pressure, if the pressure reduces by a factor of 2, then the volume will increase by a factor of two, or we can say that the volume will double.

Identify the independent, dependent, and constant variables for different experiments.
Experiment 1: A soap manufacturer runs an experiment to compare the foaming action of different dish detergents. Equal amounts of each brand of detergent are placed in identical containers half-filled with water. The water and dish detergent are at a temperature of 20°Celsius. Each container is agitated for 30 seconds, and then the height of the foam is measured.

Answers

ANSWER:

IV, Type of dish detergent. DV, height of foam. CV, type of container, amount of water in container, temperature of water, time the container is agitated.

Explanation:

Independent variable(IV)- what you change during the experiment.

dependent variable(DV)- what you're measuring during an experiment. The dependent variable is DEPENDENT because it's results DEPEND on the independent variable at play.

Constant variables(CV)- things that do not change in order to isolate the tested variables as much as possible.

When the pressure on a gas increases,what does the volume do?

Answers

Answer:

As pressure goes up, volume goes down.

Explanation:

Pressure and volume of a gas are inversely proportional.  This means that as pressure goes up, volume goes down.  And as volume goes up, pressure goes down.

Cheers.

Answer:

It goes down.

Explanation:

When the pressure of the gas goes down the volume goes up

A rock is thrown upward with a velocity of 14 meters per second from the top of a 25 meter high cliff, and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? Round your answer to two decimal places.

Answers

Answer:

It takes the rock t = 3.98 seconds to reach 3 meters from ground level

Explanation:

We need to set the kinematic equation for the vertical position of this motion in one direction with the zero (reference level) at ground level. So, the initial position of the rock is at positive 25 meters, and we need to find the time it takes to reach positive 3 meters.

Recall as well that the only acting acceleration is that due to gravity (g = 9.8 m/s^2) opposed to the object's initial velocity (Vi = 14 m/s). Then the position equation becomes:

[tex]y_f=y_i+v_i\,t-\frac{1}{2} \,9.8 \,t^2\\3 = 25 + 14\,t-4.9\,t^2\\4.9\,t^2-14\,t-22=0[/tex]

and we need to solve for "t" using the quadratic formula:

[tex]t=\frac{14+/-\sqrt{(-14)^2-4\,(4.9)(-22)} }{9.8} \\t=3.984 \,\,\,\, or\,\,\,\, t=-1.127[/tex]

Since we are looking for a positive value for time, starting when the rock is launched, we select the positive answer, which should come in seconds:

t = 3.98 seconds

(rounded to two decimals as requested)

Answer:

It takes the rock t = 3.98 seconds to reach 3 meters from ground level

Explanation:

A raised plaster cover (often called a plaster ring or mud ring) is permitted to increase the maximum number of conductors permitted in an outlet box when it is _____.

Answers

Answer:

When it is marked with its cubic-inch volume

Explanation:

Because this allows for best and efficient identification

What is gravitational force? Write its SI unit.

Answers

Gravitational force is a force that attracts any two objects with mass . SI unit in metre per second squared=(m/s2) or in newtons per kilogram=(N/Kg)

The weight of a body is variable from place to place.why​

Answers

The mass is the same, but the gravity influences the weight.

+ gravity, + pressure, + weight.

Hope to help you!

An object has a mass of 20kg, what is its weight on Earth?

Answers

Answer:

The formula is W=mg.

W=20×10=200.

Answer:

[tex]\Huge \boxed{\mathrm{200 \ N}}[/tex]

Explanation:

[tex]\sf Weight \ (N)= mass \ (kg) \times acceleration \ of \ gravity \ (m/s^2)[/tex]

[tex]W=mg[/tex]

The mass of the object is 20 kg.

The acceleration of gravity is 10 m/s².

[tex]W=20 \times 10[/tex]

[tex]W=200[/tex]

The weight of the object is 200 N.

Fully describe or explain the solid state of matter. You should include at least 5 ways to characteristics or descriptors that prove a solid is a solid.

Answers

Answer:

Explanation:

The solid state is one of the 3 stages which matter undergoes in addition to the liquid and the gaseous state. Matter in it's solid state contains atoms which are closely packed, In this stage, matter exhibits the least amount of kinetic energy of all three stages hence hindering movement of its particles and exhibiting firmness and rigidity. Solids exhibits a regular arrangement of it's molecules which differs from the scattered nature of gaseous particles and slightly ordered nature of liquid molecules. Solids exhibits a defined volume , and shape with molecules held together by string attractive forces. Solids can change into liquid through melting or transform directly into gaseous state through sublimation.

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg x m/s backward. What is the
momentum of the rocket?
a
0
b
-1,500 kg x m/s forward
1,500 kg x m/s forward
с

Answers

Answer:

a

Explanation:

Its mass times m/s there is no m/s so 1500x0 = 0

This question involves the concept of the law of conservation of momentum.

The momentum of the rocket is "c 1,500 kg x m/s forward"

The law of conservation of momentum states that the total momentum of the system must be constant. It means that the change in momentum of the system must be equal to zero. Here the system is the rocket and the gases. So, applying the law of conservation of momentum to this system, we get:

Momentum of Gas + Momentum of Rocket = 0

Taking, forward direction as positive and the backward direction as negative:

[tex]- 1500\ kg.m/s+Momentum\ of\ Rocket = 0\\[/tex]

Momentum of Rocket = 1500 kg.m/s (forward)

Learn more about the law of conservation of momentum here:

https://brainly.com/question/1113396?referrer=searchResults

The attached picture illustrates the scenario of the question.

Which statement is true about a person who is in good health? She spends a lot of time alone She has few friends at school She may not be in good physical health She gets along with others

Answers

Explanation:

Engaging in social and productive activities you enjoy, like taking an art class or becoming a volunteer in your community, may help to maintain your well-being.

Research tells us that older people with an active lifestyle:

Are less likely to develop certain diseases. Participating in hobbies and other social and leisure pursuits may lower risk for developing some health problems, including dementia.

Have a longer lifespan. One study showed that older adults who reported taking part in social activities (such as playing games, belonging to social groups, or traveling) or meaningful, productive activities (such as having a paid or unpaid job, or gardening) lived longer than people who did not. Researchers are further exploring this connection.

Are happier and less depressed. Studies suggest that older adults who participate in what they believe are meaningful activities, like volunteering in their communities, say they feel happier and healthier. One study placed older adults from an urban community in their neighborhood public elementary schools to tutor children 15 hours a week. Volunteers reported personal satisfaction from the experience. The researchers found it improved the volunteers’ cognitive and physical health, as well as the children’s school success. Researchers think it might also have long-term benefits, lowering the older adults’ risk of developing disability, dependency, and dementia in later life.

Are better prepared to cope with loss. Studies suggest that volunteering can help with stress and depression from the death of a spouse or other loved one. Among people who experienced a loss, those who took part in volunteer activities felt more positive about their own abilities (reported greater self-efficacy).

May be able to improve their thinking abilities. Another line of research is exploring how participating in creative arts might help people age well. For example, studies have shown that older adults’ memory, comprehension, creativity, and problem-solving abilities improved after an intensive, 4-week (8-session) acting course. Other studies are providing new information about ways that creative activities like music or dance can help older adults.

A proposed answer to a scientific problem is a _.
*Hypothesis
*Experiment
*Conclusion
*Theory

Answers

Answer:

A proposed answer to a s scientific problem is a hypothesis.

The scattering of dissolved particles evenly is called

Answers

Answer:

the process of that happening is called Dissolving

the substance that is dissolved is called

Solute

Technician A says that LCDs may be slow to work at low temperatures. Technician B says that an LCD dash display can be damaged if pressure is exerted on the front of the display during cleaning. Which technician is correct?

Answers

Answer:

technician B is right

Explanation:

A liquid crystal screen works by the polarization of the molecules that make up the screen by a local electric field, to abalone there must be a light source in the traces pattern in such a way that when a part of the screen is polarized the light manages to come out and we see the image. The polarization of the liquid crystal is a very fast process, therefore Technician A's comment is incorrect.

Liquid crystal displays (LCDs) are generally small and excessive pressure can break the glass and damage the display.

From the previous clarifications, technician B is right

In an experiment what are all the possible parts of an experiment or observation called? a. constant b. observations c. factors d. variables it is science

Answers

Answer:

the hopiscal is here its meeeeeeeeeee

Explanation:

Answer: factors

Explanation:

correct on accelerate ed

A plan to budget time for studying and activities is referred to as? a study routine study habits study skills a study schedule

Answers

Answer:

a study schedule

Explanation:

Answer:

a study schedule.

Explanation:

Which voltage would cause a current of 0.5 ampere in a circuit that has a resistance
of 24 ohms?

1.)48V

2.)6.0V

3.)24V

4.)12V

Answers

Answer:

4.)12V

Explanation:

The voltage of 12 volts is needed cause a current of 0.5 ampere in a circuit that has a resistance of 24 ohms.

We have a current of 0.5 Ampere in a circuit that has a resistance of 24 ohms.

We have to determine what voltage would cause this current.

What is Ohm's law?

According to Ohm's law, the current flowing in the conductor is directly proportional to the voltage across the conductor, provided all physical conditions and temperature remain constant. Mathematically -

V = IR

According to the question, we have -

Current (I) = 0.5 A

Resistance (R) = 24 ohms

Using Ohm's law -

V = IR

V = 0.5 x 24 = 12 volts

Hence, the voltage of 12 volts is needed cause a current of 0.5 ampere in a circuit that has a resistance of 24 ohms.

To solve more questions on Ohm's law, visit the link below-

https://brainly.com/question/13876926

#SPJ2

HELPPPPP 9) Type three problem questions using this sentence stem,
What is the effect of _____
on ______

Answers

Answer: what is the effect of temperature on kinetic energy ?

Explanation: on what the scientists depend while theyre doing experiences to prove their results ??

Chapter 1 - Total Health Quiz Which of the following is not an aspect of physical health?
a. Eating well
b. Making friends
c. Being active
d. Getting enough sleep​

Answers

The answer would be B

Answer:

the answer seems to be B

When replacing an existing luminaire (fixture) with a ceiling-suspended paddle fan, make sure that the existing outlet box is listed and marked as ____________________.

Answers

Answer:

When replacing an existing luminaire (fixture) with a ceiling-suspended paddle fan, make sure that the existing outlet box is listed and marked as ________one that can support the fan__________

Explanation:

Because an outlet which is not listed an cannot support the fan will lead to its damage and short lifespan

A remote controlled car starts from rest and accelerates at 2 m/s² for 6.5 seconds. What is the final velocity of the car after the acceleration takes place?

Answers

Answer:

The final velocity of the car after the acceleration takes place is 13 m/s.

Explanation:

The final velocity can be calculated using the following equation:

[tex] V_{f} = V_{0} + at [/tex]

Where:

[tex]V_{0}[/tex]: is the initial velocity = 0 (starts from rest)

a: is the acceleration = 2 m/s²

t: is the time = 6.5 s

Hence, the final velocity is:

[tex] V_{f} = V_{0} + at = 0 + 2 m/s^{2}*6.5 s = 13 m/s [/tex]

Therefore, the final velocity of the car after the acceleration takes place is 13 m/s.

I hope it helps you!

Researchers recorded the forces over a short period of time (0.065 s) for three different airbag designs as well as one crash without airbags. Your task is to analyze the data from the trials listed below. Use this analysis to construct an argument about which airbag design provides the most protection, citing patterns from the data as evidence for your claim. Data Time (seconds) Design 1(kN) Design 2 (kN) 0 0 0 0.005 0 7.38 0.01 0 46.18 0.015 7.63 84.08 0.02 56.03 91.87 0.025 101.84 90 08 0.03 126 81 81 03 0.035 114.13 54.13 0.04 64 84 36.96 0.045 38.15 29.96 0.05 17.78 18.2 0.055 5.04 10.87 0.06 0 4.31 Design 3 (kN) No Airbag (kN) 0 0 0 0 8.65 2.3 33.45 5.72 83.88 232 54 147.5 222 68 111 23 67.44 77.43 16 23 36.55 4.17 22.76 0 9.43 0 0 0 0 0 O 065 0 0 0 0

what is the pattern ​

Answers

Answer:

Design 2

Explanation:

I had this same question

My answer:

"Design 2 is the well-designed one, because the air molecules are the most compact and could protect the individual better than 1,3,and no air bag."

what does equity mean to you?

Answers

Answer:

to me equity means a fair treatment, access, opportunity, and advancement for all people, while at the same time striving to identify and eliminate barriers that have prevented the full participation of some groups

Explanation:

A penny has a mass of 2.5 grams. It is laying on level ground. What is the normal force acting on the penny?

Answers

Answer:

0.0245 N

Explanation:

Given that a penny has a mass of 2.5 grams. Convert the gram to kilogram by dividing it by 1000

2.5/1000 = 0.0025kg

It is also given that it is laying on level ground.

The normal force will be directly opposite direction to the weight of the penny. Which will be of equal magnitude.

What is the normal force acting on the penny ?

Normal force = weight of the penny

Weight = mg

Where g = 9.8 m/s^2

Weight = 0.0025 × 9.8

Weight = 0.0245 N

Therefore, the Norma force = 0.0245N

Which surface has the most friction? a An ice rink b A grassy field c A paved road

Answers

Answer:

An Ice Rink

Explanation:

Answer:

b

Explanation:

i remember this from a test

Describe the properties of mains electricity in the UK

Answers

Answer:

it helps create products like heat and light and the electric charge is a scaler  quantity. there's also voltage and frequency.

Explanation:

What did Galileo complain was hurting Catholic science?

Answers

Answer:

well his enemies accused him of attacking scripture and meddling affairs

Explanation:

pls tell me if is right

The rotating drum in a clothes-dryer has a radius of 0.31 m. If the acceleration at the rim of the drum is 27 m/s2, what is the tangential speed of the rim?

Answers

Answer:

v = 2.89 m / s

Explanation:

This is a kinematics exercise, the centripetal acceleration is

         a = v² / r

where a is the acceleration, v is the velocity and r the radius

let's clear

       v = √a r

let's calculate

       v = √ (27 0.31)

       

       v = 2.89 m / s

this is the speed of the drum which is constant

The tangential speed of the rim will be "2.89 m/s".

Tangential speed:

Tangential speed seems to be the rate beyond which the item moving throughout a circle travels.

A wider radius indicates that perhaps the thing goes a considerable distance.

According to the question,

Radius, r = 0.31 m

Acceleration, a = 27 m/s²

We know,

→ [tex]a = \frac{v^2}{r}[/tex]

or,

→ [tex]v= \sqrt{ar}[/tex]

By substituting the values,

     [tex]= \sqrt{27\times 0.31}[/tex]

     [tex]= 2.89 \ m/s[/tex]

Thus the answer above is right.

Find out more information about the tangential speed here:

https://brainly.com/question/10493657

Which fact was most likely discovered between the time of Mendeleev’s table and the time of Moseley’s table that helped Moseley develop his version?

Answers

Answer:

The number of protons in an atom is different than the atom's total mass.

Explanation:

Mendeleev had presented the first structured periodic table in 1869. But, in 1913, Henry Moseley developed the modern periodic table. The crucial difference between the two periodic tables is that Mendeleev's periodic table is generated on the basis of the atomic masses of chemical elements while the chemical element's atomic numbers were the main focus of Moseley's periodic table. There were just 56 chemical elements in Mendeleev's periodic table. On the other hand, 74 chemical elements are presented in Moseley's periodic table.

Answer:

it is

Explanation:

The correct option is THE NUMBER OF PROTONS IN AN ATOM IS DIFFERENT FROM THE ATOM'S TOTAL MASS.

During the time Mendeleev developed his periodic table, scientists believed that the number of protons in an atom determine the mass of that atom. But withing the forty years that separated Mendeleev periodic table from Moseley periodic table it was found out that this was not so, this fact helped Moseley in his own work.

Hay Que!
Explain world’s most famous formula which describes the relationship between mass and energy. Also give 1 suitable application. ​

Answers

Answer:

E = mc² relation between mass and energy

it is only applicable in space. example One of the most extraordinary things about Einstein's energy-mass equivalence equation is its simplicity.A 100 watt light bulb uses 100 joules of energy every second, i.e. one watt is one joule per second.

Explanation:

hope it will help you :)

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