two cars on a straight road at time zero are beside each other. the first car, traveling at speed 30 m/s, is passing the second car, which is traveling at 24 m/s. seeing a cow on the road ahead, the driver of each car starts to slow down at 6.0 m/s^2. find the expression of the velocity of the second car.

Answers

Answer 1

Final answer:

To find the expression for the velocity of the second car, consider the motion of both cars separately. The velocity of the second car can be described as v2 = 24 - 6t.

Explanation:

To find the expression for the velocity of the second car, we need to consider the motion of both cars separately.

Let's assume that the first car passes the second car at time t = 0. The position of the first car can be described as x1 = 30t, where t is the time elapsed since the first car passed the second car.

The position of the second car can be described as x2 = (24)t - (1/2)(6)t^2, where the negative term represents the deceleration of the second car due to slowing down at 6.0 m/s^2.

Now, we can find the expression for the velocity of the second car by taking the derivative of its position equation with respect to time: v2 = 24 - 6t.

Answer 2

The velocity of the second car, which starts at 24 m/s and decelerates at 6.0 m/s², can be described by the function v(t) = 24 - 6t. This equation shows how the car's velocity decreases over time. For any given time t, you can calculate the velocity using this expression.

To find the expression of the velocity of the second car, we need to consider its deceleration. The second car's initial velocity is 24 m/s, and it decelerates at a rate of 6.0 m/s². The general equation for the velocity of an object under constant acceleration (or deceleration) is:

v(t) = v₀ + at

Here, v(t) is the velocity at time t, v₀ is the initial velocity, and a is the acceleration (note that since it is deceleration, the acceleration will be negative).

Given:

Initial velocity, v₀ = 24 m/sAcceleration, a = -6.0 m/s²

We can substitute these values into the equation:

v(t) = 24 m/s - (6.0 m/s²) * t

So, the expression for the velocity of the second car as a function of time is:

v(t) = 24 - 6t


Related Questions

When gas or liquid particles become more spread out over time what is that called?

Answers

When gas or liquid particles become more spread out over time it is known as diffusion. Diffusion happens when particles can move freely and happens similarly both for gases as well as particles that are dissolved in a solution.

) the best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) what is their initial "launch" speed off the ground? (b) how long are they in the air?

Answers

Let u = the vertical launch speed.

Neglect air resistance, and g = 9.8 m/s².

At the maximum height of h = 120 cm = 1.2 m, the vertical velocity is zero.
Therefore
(u m/s)² - 2*(9.8 m/s²)*(1.2 m) = 0
u² = 23.52 (m/s)²
u = 4.85 m/s

The time to attain maximum height is one half of the travel time.
If t = time to attain maximum height, then
u - gt = 0
4.85 - 9.8t = 0
t = 4.85/9.8 = 0.495 s
Therefore the travel time is 2*0.0495 = 0.99 s

Answers:
(a) 4.85 m/s
(b) 0.99 s
Final answer:

The initial 'launch' speed of a basketball rebounder with a vertical leap of 120 cm is approximately 4.9 m/s. They are in the air for about 1 second, given the symmetry of the jump's ascent and descent.

Explanation:

The best rebounders in basketball who have a vertical leap of 120 cm possess a certain initial launch speed and time in the air. These can be determined using the equations of motion in physics. The equation for the height h in terms of initial speed v, time t, and acceleration due to gravity g (about 9.8 m/s²) is: h = vt - 0.5gt².

(a) Setting h to 1.2 meters (or 120 cm) and t to the time of the peak of the jump (which is when the velocity v becomes 0), we get h = 0.5gt, or v = gt. Plugging in g, we get an initial launch speed off the ground of roughly 4.9 m/s.

(b) To find out how long they are in the air, we recognise that the time to reach the peak and the time to fall back down should be the same, given symmetry. Therefore the total time in air would be 2t, which is also equal to 2v/g. Plugging in the values, we get the athlete is in the air for roughly 1 second.

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*asap*
Explain how waves, energy and matter are related.

Answers

The amount of energy carried by a wave will create an energy wave which it will turn into matter


Hope This Help

i think the answer is that all of those are related by transfer.

basiclly all of those transfer stuff from iself to other things.

Too much skepticism can

Answers

Too much skepticism will lead one to doubt everything while too little will lead to gullibility. 
make you a hard head?

"what is the important measure from weather radar that gives the intensity of the precipitation?"

Answers

the most important measure is awhips

The measure that gives the intensity of precipitation from the weather radar is the  rate of dispersion of the microwave energy pulses returning back to the radar .

There are three main ways of measuring intensity of precipitation and they are

Precipitation/rain gauge Ground based weather radar Earth-observing satellites

For the purpose of your question the weather radar been discussed is the ground based weather radar.

A weather radar is an equipment used for the predetermination of precipitation in a region. it performs this function by sending out microwave energy pulses via tube transmitter into the atmosphere( air ) to detect the possibility of precipitation.

Hence The important measure of the weather radar that helps determine the intensity of the precipitation is; rate of dispersion of the microwave energy pulses sent out to the atmosphere.

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Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = gmm r2 where g is the gravitational constant and r is the distance between the bodies. (a) find df/dr.

Answers

Hi there u are in town

Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r² where G is the gravitational constant and r is the distance between the bodies. Then df/dr = Gmm(-2/r³).

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

f = Gmm/r²

df/dr = Gmm(-2/r³).

Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r² where G is the gravitational constant and r is the distance between the bodies. Then df/dr = Gmm(-2/r³).

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A closed container is filled with oxygen. the pressure in the container is 335 kpa . what is the pressure in millimeters of mercury?

Answers

2,513 millimetres of mercury
is the correct answer, Comrade

A closed container is filled with oxygen. the pressure in the container is 335 k-pa . The pressure in mili meters of mercury 2,513 millimetres of mercury.

What is pressure?

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

Conversion factor is

1 mm of Hg = 133.322 pascals,

So,  335 kpa the pressure in millimeters of mercury is  2,513 millimetres of mercury.

The pressure in mili meters of mercury 2,513 millimetres of mercury.

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how are igneous rocks formed?
step by step please.

Answers

When it comes to the composition of the Earth, three main types of rock come into play. These are known as metamorphic rock, sedimentary rock, and igneous rock, respectively. Also known as “fire rock” (derived from the Latin “ignus”), these type of rock are the most common type of rock in the Earth’s surface. In fact, combined with metaphoric rock, igneous rock makes up 90 to 95% of all rock to a depth of 16 km from the surface.

Igneous rocks are also very important because their mineral and chemical makeup can be used to learn about the composition, temperature and pressure that exists within the Earth’s mantle. They can also tell us much about the tectonic environment, given that they are closely linked to the convection of tectonic plates. But just how are these rocks formed?

In essence, igneous rocks are formed through the cooling and solidification of magma (or lava). As hot, molten rock rises to the surface, it undergoes changes in temperature and pressure that cause it to cool, solidify, and crystallize. All told, there are over 700 known types of igneous rock, the majority of which are formed beneath the surface of the Earth’s crust. However, some are also formed on the surface as a result of volcanic activity.

Those that fit into the former category are known as intrusive (or plutonic) rocks, while those that fit into the latter are known as extrusive (or volcanic) rock. In addition to these, there is also hypabyssal (or subvolcanic rock), a less common form of igneous rock that is formed within the Earth between plutonic and volcanic rocks. hope that helped

What are the units of the constant of proportionality, k?

Answers

It all depends on the equation, each has a different relationship between variables. Some common uses of K include:
-Indirect Proportion: y=x+1/k
-Direct Proportion: y=x+k
-Direct Square Proportion: y=x+k^2
-Indirect Square Proportion: y=x+1/k^2

Hope this helps!

________ is the stress caused by forces that slip or slide one part of a material against another. a) Bending b) Shear c) Compression

Answers

The best answer to fill in the blank would be B) Shear because shear stress is the process of where the composition of an object changes by sliding forces and so because of this, its a deformity.

What is the total number of neutrons in an atom of an element that has a mass number of 19 and an atomic number of 9?
a.9
b.10
c.19
d.28?

Answers

Your answer should be B.) 10

The atomic mass of an element is the sum of the element's protons and neutrons. The atomic number of an element is equal to its number of protons. To find the amount of neutrons in an atom, subtract the atomic number from the atomic mass. 19 - 9 = 10.

Hope this helps!

To see the number of atoms of an element in a given molecule we need to multiply stoichiometry to the number that is written on the foot of the element that is stoichiometry. Therefore, the number of neutron is 10.

What is atom?

Atom is the smallest particle of any element, molecule or compound. Atom can not be further divided. Atoms contains nucleus in its center and electron that revolve around the atom in fixed orbit.

In the nucleus, proton and neutron are present. Electron has -1 charge while proton has +1 charge. Neutron is neutral that is it has no charge. So overall the charge of nucleus is due to only proton, not by neutron.

Atomic number= number of proton=number of electron

Mass number= number of proton/electron + number of neutron

Mass number=19

atomic number =9

substituting all the given values in the above equation, we get

19=9 + number of neutron

number of neutron=10

Therefore, the number of neutron is 10.

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What is a successful result of science

Answers

something known to be working or a knew discoveries and something that us mathematically correct

the correct answer is a discovery

Waves interact with __________ and other___________ .

Answers

Waves interact with gravity forces to create ocean currents that effect most of the earth. These weather current effect weather which can then change almost every aspect of our lives, food, shelter ect.

Answer:

Waves interact with  

⇒ objects and other  

⇒ waves.

Explanation:

Which heat transfer method is used to capture the sun's energy?

Answers

radiation because solar panels trap the suns energy which is known as radiation

A car has a mass of 1000 kg and accelerates at 2 meters per second per second. what is the magnitude of the net force exerted on the car

Answers

F=ma
Therefore the net force = 1000kg × 2 metres per second per second
So F=2000 N

Answer:

The magnitude is [tex]2000N[/tex]

Explanation:

To solve this question we are going to use the second Newton law.

The second Newton law states that the acceleration of an object is directly proportional to the net force which acts on the object and inverse proportional to the mass of the object ⇒

[tex]a=\frac{F}{m}[/tex]

Which can also be written as :

[tex]F=m.a[/tex] (I)

Where F is the force

Where m is the mass of the object and where ''a'' is the acceleration.

In the problem, we know that

[tex]m=1000kg[/tex]

[tex]a=2\frac{m}{s^{2}}[/tex]

If we replace in the equation (I) :

[tex]F=(1000kg).(2\frac{m}{s^{2}})=2000(kg.\frac{m}{s^{2}})[/tex]

The unit [tex]kg.\frac{m}{s^{2}}[/tex] is defined as N which is called Newton. N is an unit of force.

Finally, the net force exerted on the car is [tex]2000N[/tex]

One disadvantage of using a survey to gather data for psychological purposes is the fact that it can be __________.

Answers

Misleading or not answered correctly. Or, not diverse enough. 

One disadvantage of using a survey to gather data for psychological purposes is the fact that it can be subject to response bias.

Social Desirability Bias: Respondents may provide answers that they believe are socially acceptable or desirable rather than their true feelings or behaviors. They may want to present themselves in a positive light, which can lead to inaccurate responses.

Acquiescence Bias: Some individuals have a tendency to agree with statements or questions, regardless of their true beliefs.

Extreme Response Bias: On the other hand, some respondents may consistently choose the most extreme response options (e.g., always selecting "strongly agree" or "strongly disagree") without considering the nuances of the questions.

Non-Response Bias: Not all individuals approached to participate in a survey actually respond. Those who choose not to respond may have different characteristics or perspectives from those who do respond, leading to potential bias in the sample.

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What is the difference between ideal mechanical advantage (ima) and actual mechanical advantage (ama)?

Answers

Ideal mechanical advantage would be from a device with the assumed probability that there is no friction, wear or flexion. It is the ratio of the force put out (load) to the effort (force put into the machine).

Actual mechanical advantage takes into consideration of friction, wear and flexion. It is the ratio of the effort output and the effort input.

Answer:

Ideal mechanical advantage does not considers frictional losses of force into account whereas actual mechanical advantage does.

Explanation:

Mechanical advantage is the increase in the output force by a simple machine which is due to increased arm length on which the output is desired. This is in accordance with the law of conservation of energy and moments.

Mathematically give as;

[tex]F_E.E=F_L.L[/tex]

where:

[tex]F_L\ \&\ F_E[/tex] are the force due to load and effort respectively.

[tex]E\ \&\ L[/tex] are the length of effort arm and load arm respectively.

Now the mechanical advantage:

[tex]MA=\frac{F_E}{F_L} =\frac{L}{E}[/tex]

In practical cases we are not able to take the full advantage of this multiplied force due to the frictional losses.

What is the impulse that a car with a mass of 6kg experiences when its velocity changes from 23m/s to 6m/s?

What is the impulse that the wall creates when it applies a force of 29N over a period of 7s in a collision?

A ball of clay with a mass of .1 kg hits the floor and comes to a stop. Just before it hits the floor the velocity was -5.69m/s. If the collision took .64 s, how much force is the floor exert on the ball of clay?

Answers

A. 
Impulse is calculated through the equation,

             I = mΔv

where I is impulse, m is mass and Δv is change is velocity. Substituting the known values,

            I = (6 kg)(23 m/s - 6 m/s) 
            I = 102 kg m/s

Answer: 102 kg m/s

B. 
Impulse in this item is calculated by multiplying the force by the time.
    

    I = Force / time = (29 kg m/s²)(7 s) = 203 kg m/s

Answer: 203 kg m/s

C. 
To answer this item, we have to multiply the mass and the velocity to get the impulse and divide the answer by the time to get the force.

        F = m(v)/t

Substituting,
  
        F = (0.1 kg)(-5.69 m/s)/0.64 s 
         F = -0.89 N

Answer: -0.89 N

What’s a shield volcano

Answers

i think a colonastopy


Volcanoes come in different shapes, depending on the type of eruption. Shield volcanoes have shallow, sloping sides and are formed by very hot, runny lava that spreads over a wide area. The majority of the volcanoes that happen occur along the cracks in the lithosphere that mark the edges of the tectonic plates.

What did galileo’s principle of inertia state?

Answers

A body moving on a level surface will continue in the same direction at constant speed unless disturbed.

Answer:

Explanation:

Inertia is the property of any object which always resist any change in the object.

Inertia is measured by the mass of the object.

More be the mass of the object, more be the inertia.

Galileo's law of inertia state that, if a body is at rest it always remains at rest and if a body is in motion it remains in motion, until and unless an external force is not applied on the body.

It is also called Newton's first law of motion.

The ____________ muscle is the convergence of the iliacus muscle and the psoas major muscle

Answers

Answer:The iliopsoas muscle

The iliacus and the psoas major muscles, together are known as the iliopsoas muscle. That's because they share a common insertion on the small trochanter  of the femur. However, they have different origins, making them two different muscles. Together, they are strong flexors of the hip.

Which of the following is not a macromolecule?

A. Carbohydrate
B. Protein
C. Platelet
D. Lipid

Answers

Platelet is not a macro-molecule.

There are four major macro-molecules in living organisms which include; proteins, carbohydrates, lipids, and nucleic acids.

Further Explanation

There exist four major macro-molecules in living organisms.

They include; Nucleic acids, proteins, carbohydrates, and lipids.

Nucleic AcidsNucleic acids are one of the four major bio-molecules in nature. Nucleic acids is divided into two; RNA and DNA.The building blocks of nucleic acids are Nucleotides which are made by a nitrogenous base, a sugar and a phosphate group.1. DNA DNA is a nuclei acid that is responsible for carrying genetic information in living organisms.2. RNA Ribonucleic acid (RNA) is a type of nucleic acid, a molecule that plays a major role in the flow of information from the DNA to the proteins.Proteins  Proteins are made up of amino acids which are the building blocks. Proteins perform various roles in organisms which includes; controlling metabolic processes, structural components, metabolic regulators, and sources of energy among others.Amino acids monomers are joined together by peptide bonds to form polypeptides which then form proteins.Carbohydrates  Carbohydrates are bio-molecules that play important role in living organisms.They are made up of monomers known as simple sugars or monosaccharides. They are classified as; Monosaccharides, disaccharides , and polysaccharidesDisaccharides are type of carbohydrates that are made up by joining two monomers of monosaccharides.Polysaccharides are complex carbohydrates that are made up of many monomers of monosaccharides joined by glycosidic bonds.Examples of polysaccharides include; starch, glycogen, cellulose, etc.Lipids Lipids are macromolecules that are composed of hydrocarbons and are important building blocks of structure of living organisms.Examples of lipids include; oils, fats, some vitamins(A,D,E,K), waxes, hormones, etc.

Keywords: Macro-molecules, nucleic acids, proteins, carbohydrates, lipids

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Level: High school  

Subject: Biology  

Topic: Macro-molecules

Final answer:

Out of the options given, Platelet is not a macromolecule. Macromolecules are large complex molecules like proteins, carbohydrates, and lipids. Platelets are blood cells that help in clot formation.

Explanation:

Out of the options given A. Carbohydrate, B. Protein, C. Platelet, and D. Lipid, C. Platelet is not a macromolecule. Macromolecules are large complex molecules such as proteins, carbohydrates, lipids, and nucleic acids that are essential for life. They are composed of smaller units bonded together. Platelets on the other hand, are tiny blood cells that help your body form clots to stop bleeding. Therefore, they do not fall under the classification of macromolecules.

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List six forms of electromagnetic radiation from the shortest waves(highest energy) to the longest waves (lowest energy)

Answers

That's the reverse of RIVUXG
so your answer is
gamma rays
x rays
ultraviolet light
visible light
infrared
radio waves

When one car was twice the mass of the other, do the cars still experience equal and opposite forces? Why or why not?

Answers

Yes. Force 1 on 2 is equal to Force 2 on 1.

During a collision, two cars experience equal and opposite forces according to Newton's Third Law of Motion, but their accelerations differ due to Newton's Second Law as a less massive car will experience a greater change in velocity.

When one car is twice the mass of the other during a collision, the two cars do indeed experience equal and opposite forces according to Newton's Third Law of Motion. This law states that for every action, there is an equal and opposite reaction. Therefore, no matter the disparity in mass, the forces exerted on each other during a collision are equal in magnitude but opposite in direction. Although the forces are equal, the effect of these forces will differ due to Newton's Second Law of Motion, which links the net force acting on an object to its mass and acceleration (F = ma). A less massive car will experience a greater acceleration (or deceleration) than a more massive car under the same force. This concept is crucial in understanding the dynamics of collisions.

Which of the following is a physical property of wood?

Wood can burn

Wood can rot

Wood does not rust

Wood is softer than coal

Answers

"... softer than coal." is a physical property. The other three are all chemical properties.

Answer:

d is the answer

Explanation:

You are riding on your bike and stop pedaling , coasting along the road. eventually, your bike slows down and stops. what happened to the energy of your motion when your bike stopped?

Answers

When still rolling your bike had kinetic energy, or energy in the form of motion. The forces resisting this motion--a mixture of many factors including air resistance, tire friction, friction in the hubs of the wheels, etc...--eventually decrease the kinetic energy of the bike to zero as it reaches a complete stop.

Answer: A

Explanation:

An aircraft engine takes in 9000 j of heat and discards 6400 j each cycle. (a) what is the mechanical work output of the engine during one cycle? (b) what is the thermal efficiency of the engine?

Answers

work done = heat in - heat out 
= 9000 -6400 = 3600 J per cycle. 

And the efficiency = work out / heat in 
= 3600/9000 
= 0.4 or 40%

Sorry if this does not help.

a. The mechanical work output of the engine during one cycle is 2600 Joules.

b. The thermal efficiency of the engine is equal to 28.89%.

Given the following data:

Heat input = 9000 JoulesHeat output = 6400 Joules

a. To determine the mechanical work output of the engine during one cycle:

Mathematically, the mechanical work output of an engine during one cycle is given by the formula:

[tex]Work = H_{in}- H_{out}\\\\Work = 9000-6400[/tex]

Work output = 2600 Joules

b. To determine the thermal efficiency of the engine:

[tex]Th_{E} =\frac{Work}{H_{in}} \times 100\\\\Th_{E} =\frac{2600}{9000} \times 100\\\\Th_{E} =0.2889 \times 100[/tex]

Thermal efficiency = 28.89%

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Identify two types of nuclear reactions in which the equation E = mc2 applies.

Answers

The answer will be fission and fusion. 
Hello there!  two types of nuclear reactions in which the equation E = mc2 applies would be:

fission and fusion


Hope this helps! :)

What is the direction of the net force acting on the object at position a? hints what is the direction of the net force acting on the object at position a? upward downward to the left to the right the net force is zero?

Answers

Looking at the position A, we can actually see that velocity vectors connecting position A and its adjacent positions appear to have similar magnitude and in similar direction. Hence the acceleration is zero and similarly, the net force is also zero.

 

Answer:

Net force is zero

The net force acting on the object at position A is zero, option 5 is correct.

In physics, an object's motion is determined by the net force acting upon it. When multiple forces act on an object, they can either cancel each other out or add together to create a resultant force. At position A, if the forces acting on the object are balanced in such a way that the magnitudes and directions of all forces cancel each other out, the net force is zero.

This means that there is no overall acceleration or change in motion, and the object remains in a state of equilibrium. In other words, the forces pushing or pulling in various directions at position A are perfectly balanced, resulting in a net force of zero, option 5 is correct.

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The complete question is:

What is the direction of the net force acting on the object at position A?

1. upward

2. downward

3. to the left

4. to the right

5. The net force is zero.

N a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 11.5 m in diameter. it is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). at what acceleration (in si units) does the pilot black out?

Answers

59.027m/s^2 Centripetal force is give by F = mv^2/r Since F = ma The acceleation accoiated with this centripetal force is a=v^2/r the radius is found by r=d/2=5.75m velocity is found by v=d/t distance is the circumference of the circle c=pi*d=11.5*3.14=36.11m time=60s/30.6rpm=1.96s v=36.11/1.96=18.423m/s plugging this back in to a=v^2/r=(18.423m/s)^2/5.75m=59.027m/s^2
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