A car accelerates from rest at a stop sign at a rate of 3.0 m/s^2 to a speed of 21.0 m/s, and then immediately begins to decelerate to a stop at the next stop sign at a rate of 4.0 m/s^2. How long did it take the car to travel from the first stop sign to the second stop sign? Show your work.

Answers

Answer 1

Answer:

t = 12.25 s

Explanation:

First we calculate the time taken by the car during accelerating motion, we use 1st equation of motion:

Vf = Vi + at₁

where,

Vf = Final Velocity = 21 m/s

Vi = Initial Velocity = 0 m/s

a = acceleration = 3 m/s²

t₁ = time taken during acceleration = ?

Therefore,

21 m/s = 0 m/s + (3 m/s²)t₁

t₁ = (21 m/s)/(3 m/s²)

t₁ = 7 s

Now, we use the same equation to find out the time taken during deceleration motion, with following data:

Vf = Final Velocity = 0 m/s

Vi = Initial Velocity = 21 m/s

a = deceleration = -4 m/s²

t₂ = time taken during deceleration = ?

Therefore,

0 m/s = 21 m/s + (-4 m/s²)t₂

t₂ = (-21 m/s)/(-4 m/s²)

t₂ = 5.25 s

Therefore, the total time taken by the car to travel from first stop sign to second stop sign is:

t = t₁ + t₂

t = 7 s + 5.25 s

t = 12.25 s

Answer 2

Answer:

12.25s

Explanation:


Related Questions

A person can be _____ to disease due to long-term malnutrition​

Answers

Answer:

Abnormal or excessive fat accumulation

Explanation:

Malnutrition refers to getting too little or too much of certain nutrients. It can lead to serious health issues, including stunted growth, eye problems, diabetes and heart disease. Malnutrition affects billions of people worldwide

water in a cup and a kettle can have the same temperature even though the quantities are different . give reasons​

Answers

Answer:

The reason is because both are exposed to a virtually infinite heat sink, due to the virtually infinite mass  and of the surrounding environment, compared to the sizes of either the cup or the kettle such that the equilibrium temperature, [tex]T_{(equilibrium)}[/tex] reached is the same for both the cup and the kettle as given by the relation;

[tex]\infty M_{(environ)} \times c_{(environ)} \times (T_2 - T_1) = m_{1} \times c_{(water)} \times (T_3 - T_2) + m_{2} \times c_{(water)} \times (T_4 - T_2)[/tex]

Due to the large heat sink, T₂ - T₁ ≈ 0 such that the temperature of the kettle and that of the cup will both cool to the temperature of the environment

Explanation:

What is the following correct way to write 2,330,000 in scientific notation

Answers

Answer:

The answer is 2.33 × 10 race to 6.

Chich expression correctly describes force using Sl units
O A. 1 N = 1 kg-m/s2
B. 1 N = 1 kg.m/s
C. 1 J = 1 kg-m/s?
D. 1 J = 1 kg m/s

Answers

Answer:1 N = 1 kg·m/s2

Explanation:

Extrinsic statements originate in a. Parents c. Teachers b. Society d. All of these Please select the best answer from the choices provided A B C D

Answers

Answer:

D all of these

Explanation:

Extrinsic statements originate in parents ,society and teachers. Option D is correct.

What is extrinsic motivation ?

Extrinsic motivation is defined as conduct motivated by external incentives. Extrinsically driven people will continue to do something even if it isn't pleasurable or rewarding in and of itself.

These incentives might be monetary or intangible in nature, such as acclaim or renown. Extrinsic motivation is distinct from intrinsic motivation in that it is only motivated by external incentives.

Extrinsic statements originate in;

a. Parents

b. Society

c. Teachers.

Extrinsic statements originate in all of the above given option.

Hence, option D is correct.

To learn more about the extrinsic motivation, refer to the link;

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How many atoms of each element Are in the chemical formula NH4 NO3

Answers

Answer:

NITROGEN - 2

HYDROGEN- 4

OXYGEN- 3

When a beam of light is incident on a surface, it delivers energy to the surface. The intensity of the beam is defined as the energy delivered per unit area per unit time.

What is the unit of intensity, expressed in SI base units?​

Answers

Answer:

Kg

Explanation:

Given that the definition of intensity is:

The intensity of the beam is defined as the energy delivered per unit area per unit time. That is,

I =( E × t)/A

Which can expressed as

I = J/m^2/s

The S.I Units of

Energy is Joule = kgm^2s^-1

Area A = m^2

Time t = s

Intensity I = kgm^2s^-1 × m^-2 × s

Intensity I = kg

The cubic metres and seconds are cancelled out

Therefore, the S.I units of intensity is kg

When testing water for chemical impurities, results are often reported as bdl, that is, below detection limit. The following are the measurements of the amount of lead in a series of water samples taken from inner-city households (in parts per million): 5, 7, 12, bdl, 10, 8, bdl, 20, 6 Which of the following statements can we be sure is true? (a) The mean lead level in the water is about 10 ppm. (b) The mean lead level in the water is about 9 ppm. (c) The median lead level in the water is 7 ppm. (d) The median lead level in the water is 8 ppm. (e) Neither the mean nor the median can be computed because some values are unknown.

Answers

Answer:

The median lead level in the water is 7 ppm.

Explanation:


A uniform beam weighing 1 N is used as a metre rule. The beam is supported by a pivot
at the 30 cm mark. A 12 N weight is hung at the 0 cm mark and a 2 N weight is hung at the
60 cm mark as shown in Figure 5.19.
O cm
50 cm 60 cm
100 cm

► Figure 5.19
30 cm
mark 1 N
12 N
2 N
W
What is the weight W of a mass hung at the 100 cm mark in order to balance the beam?
Please help! ​

Answers

Answer:

then you solve two torque one is anticlockwise and one is clock wise toque 1=force*perpendicular distance is equal to torque 2= force* perpendicular distance so tau = torque 1+ torque 2and give your answer

Answer:

W =  4 N (to balance the beam)

Explanation:

take moment at support Δ

∑M at Δ = 0 (note: clockwise is + and counter clockwise is - )

0 = W(100 - 30) + 2(60-30) + 1(50-30) - 12(30)

0 = W70 + 2(30) + 1(20) - 360

0 = W70 + 60 + 20 - 360

0 = W70 - 280

280 = W70

W = 280 / 70

W = 4 N (to balance the beam)

to take the reaction at support Δ

Δ = 12 + 1 + 2 + 4

Δ = 19 N

proof that W = 4

∑M at 12N = 0

0 = 19(30) - 1(50) - 2(60) - W(100)

0 = 570 - 50 - 120 - 100W

100W = 400

W = 400 / 100

W = 4 N -------- ok

an object accelerates from rest to a speed of 24m/s over a distance of 56 m. what acceleration did it experience

Answers

Probably need to do research on acceleration and experience

What is the momentum of a 3 Kg ball that is traveling at 9 m/s to the left?

Answers

Answer:

Explanation:

momentum =mv

p=mv

given mass=m= 3 kg

given velocity=v=9 m/s

therefore p is

p=mv

p=3*9

p=27 kgm/s

An organism ingests a toxin that damages the mitochondria of its cells.

Which function of the mitochondria might be inhibited in the cell?

Choose 1 answer:

(Choice A) A Producing sugar from sunlight

(Choice B) B Converting energy stored in sugar to ATP

(Choice C) C Creating proteins

(Choice D) D Disposing of damaged cell parts

Answers

The answer is C creating proteins and ik this because I had the same answer and my teacher helped me

The distance time graph of a body is a straight line parallel to the time axis. What
information does the graph convey regarding the motion of the object?

Answers

Explanation:

The object is not moving, because the distance is a constant value regardless of the time value.

When removing heavy objects that may change the center of gravity of a vehicle ________. Group of answer choices

Answers

Answer:

______________________________

use tall safety and position hoist arms

What is the acceleration of a car that slows down from 25.0 m/s to 10.0 m/s in 30 seconds? The car is traveling south.

Answers

100 miles per hour ...........

Alan rents a private jet for the weekend. He flies 400km south to New York then flies 821km south to North Carolina, then 1200km to Miami. What distance did he cover ? What was his displacement ?

Answers

Answer:

Distance = 2421 km

Displacement I'm not sure

I live in Asia

A torn T-shirt was found in the back seat of a suspect's car. Two pieces of torn cloth were found at the scene of the crime. Can the two pieces be individualized to the T-shirt? Explain.

Answers

Answer:

Yes you can

Explanation:

Match the tears found on the individual pieces with the individual holes seen on the shirt

Which statement describes an energy measurement?

Answers

There are no statements provided for my me to choose from, but i'll try.

Here's what I've got for ya:

1 Joule (J) is the MKS unit of energy, equal to the force of one Newton acting through one meter. 1 Watt is the power from a current of 1 Ampere flowing through 1 Volt. 1 kilowatt is a thousand Watts. 1 kilowatt-hour is the energy of one kilowatt power flowing for one hour.

Prob. not that helpful, sorry, but I can't read your mind to understand what the statements were, sorry.

Hope this is at least kinda helpful!

A load of 800 N is lifted using a block and tackle having 5 pulleys. If the applied effort is 200 N, calculate
i. Mechanical advantage
ii. Velocity ratio
iii. Efficiency
iv. Output work if load is lifted 5m high.
v. Input work

Answers

Explanation:

Load=800N

Effort=200N

1. Mechanical Advantage = LOAD/EFFORT

= 800N/200N

= 4

2 Velocity Ratio = no. Of pulleys =5

3. Efficiency = Mechanical advantage / velocity ratio × 100%

= (4/5)×100%

=80%

4. output work= load×load distance

= 800N × 5m

= 4 × 1000J

5. Efficiency = (output work/input work) ×100%

Or, 80% = (4000J/input work) ×100%

Or, 80%/100% = 4000J/inputwork

Or, 4/5 = 4000J/inputwork

Or, input work =4000J × 5/4

Input work = 5×1000J

I hope it helped! ;-)

Answer:

I got the same answers.

Explanation:

I agree with the first person respone.

PLZ HELP TIMED TEST

Which would be most useful for overcoming the disadvantage of using ores?

using public transportation
recycling aluminum products
buying paper instead of plastic
minimizing electricity usage

Answers

Answer:

recycling aluminum products

Explanation:

I I took this test hope this out and on the test I got this correct

 Match the vocabulary word to its definition

Answers

Answer:

PROTON - A positively charged particle located in the nucleus of an atom./  ELECTON CLOUD - The area of the atom surrounding the nucleus where electrons can be found. / ELECTRON - A negatively charged particle that orbits the nucleus of an atom. / NUCLEUS - The central part of the atom containing protons and neutrons. / NEUTRON - A neutral particle located in the nucleus of an atom.

Explanation:

The answers are:

PROTON - A positively charged particle located in the nucleus of an atom.ELECTRON CLOUD - The area of the atom surrounding the nucleus where electrons can be found.ELECTRON - A negatively charged particle that orbits the nucleus of an atom.NUCLEUS - The central part of the atom contains protons and neutrons. NEUTRON - A neutral particle located in the nucleus of an atom.

What is a nucleus in the atom?

The nucleus is a positively charged region at the center of the atom. It consists of two types of subatomic particles packed tightly together. The particles are protons, which have a positive electric charge, and neutrons, which are neutral in electric charge.

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prove that Force is equal to mass and acceleration​

Answers

I mean F=ma states that mass and acceleration has an equal effect on force. So the forces you applied on 2 balls having different masses gave the same acceleration and the one with the greater mass had the greater force applied on it. Hence F is directly proportional to mass.

Which of following answer choices properly match the cell structure and function depicted by this image?

Choose 1 answer:

(Choice A)
A
Nucleus — storage of genetic material

(Choice B)
B
Golgi body — receiving, sorting, and packaging cell materials for transport

(Choice C)
C
Golgi body — breaking down sugar molecules and converting their energy to ATP for the cell

(Choice D)
D
Lysosome — receiving, sorting, and packaging cell materials for transport

Answers

Answer:

B

Golgi body — receiving, sorting, and packaging cell materials for transport

Explanation:

The Golgi body is responsible for receiving, classifying, and packing cell components for transportation in a manner that is consistent with the cell form and function are shown in this figure. Option B is correct.

What are Golgi bodies?

The majority of eukaryotic cells' cytoplasm contains a combination of vesicles and folded membranes that are used for secretion and intracellular transport known as the Golgi bodies.

Golgi body — receiving, sorting, and packaging cell materials for transport properly match the cell structure and function depicted by this image.

This graphic accurately depicts the cell structure and function of the Golgi body, which receives, sorts, and packages cell components for transit.

Hence, option B is correct.

To learn more about the Golgi bodies refer;

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If several negative charges surround a large positive charge, the total force on a far away charge is reduced. What is this effect called

Answers

Answer:

this effect is called SCREENING

Explanation:

When a positive charge is surrounded by several negative charges at a long distance, an apparent decrease in the positive charge is observed, this effect is called SCREENING and is noticeable in multielectronic atoms

This effect is responsible for the decrease in ionization energy in the larger atoms.

Astronauts who traveled to the moon were able to float slightly as they walked along its surface. Why were the astronauts able to do this? The weight of the astronaut on Earth is less than his weight on the moon. The mass of the astronaut on Earth is less than his mass on the moon. The weight of the astronaut on Earth is greater than his weight on the moon. The mass of the astronaut on Earth is greater than his mass on the moon.

Answers

Answer: The weight of the astronaut on earth is greater than his weight on the moon.

Explanation:

The reason I got this answer is because the astronaut will have the same mass on the moon as he does on earth. Also the weight of a person or object is determined by gravity. So since the moons gravity isn’t as strong as earths gravity the astronauts are lighter in terms of weight, and this is how they slightly float.

The weight of the astronaut on Earth is greater than his weight on the Moon.  The third option is correct.

What is gravity?

The force of attraction felt by a person at the center of a planet or Earth is called as the gravity.

The Earth has the acceleration due to gravity, g =  9.81 m/s², Moon has the acceleration due to gravity 6 times less than that of Earth.

Astronauts who traveled to the Moon were able to float slightly as they walked along its surface. The astronauts were able to do this because they have the same mass on the Moon as he does on Earth.

The weight of a person or object is determined by gravity. Since, the Moon's gravity isn’t as strong as Earth's gravity. So, the astronauts slightly float on Moon.

The weight of the astronaut on Earth is greater than his weight on the moon.

Thus, the third option is correct.

Learn more about gravity.

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The flow of air from land to a body of water is called a _______________________.

Answers

Land Breezes I believe is the correct answer
Land breeze, a local wind system characterized by a flow from land to water late at night. Land breezes alternate with sea breezes along coastlines adjacent to large bodies of water. Both are induced by differences that occur between the heating or cooling of the water surface and the adjacent land surface.

Marcus is on a train that travels 20 and takes 5 seconds to slow to 10 .
How would Marcus correctly calculate the acceleration?

Answers

Answer:

-2

Explanation:

v0=20

v=10

t=5

a=(v-v0)/t=(10-20)/5=-2

When The north end of earths axis is tilted toward the sun, what will North America experience? Choices, 1. More indirect rays and shorter days 2. More indirect rays and longer days 3. more direct rays and shorter days 4. more direct rays and longer days

Answers

Answer:

day 4

Explanation:

it more direct rays nd it's longer days

Which is always true in a closed system?
Acceleration is not constant.
Mass is not conserved.
Momentum is conserved.
Velocity is constant.

Answers

Answer:

The correct option is momentum is conserved

Explanation:

A closed system is a system that is independent/free of external factors/force and does not exchange matter with its surrounding. Since a close system is free of external factors/force; acceleration is constant in it, mass is conserved in it and there will be changes in velocities of objects in the closed system.

This question actually seeks to test our knowledge of the law of momentum. The law of conservation of momentum states that the momentum of a closed system is conserved.

C: Momentum is consevered

A person walk 12.0m east , then turns and goes 8.00 m west , then turns and goes back 2.00m east. What is the person’s displacement and distance?

Answers

Answer:

Distance = 22m

Displacement = 12 + 2 - 8 =6m

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