The height of the cliff is [tex]$90.69 \mathrm{~m}$[/tex]
The initial speed of the stone vi = 10m/s
The stone is also moving downward vertically under the effect of the gravitational acceleration [tex]$g=9.81 \mathrm{m} / \mathrm{s}^2$[/tex]
Thus, the stone will have two velocity components while moving. One component is the horizontal speed which will be constant during motion and the other component is the vertical speed which will increase under the effect of gravitational acceleration.
Hence, the final vertical speed when the stone hits the ground is
[tex]$$\begin{aligned}&V_y=V_{y o}+g t \\&V_y=0+9.81(4.3)=42.183 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
The height of the cliff where the stone is thrown is
[tex]$$\begin{aligned}&h=\frac{\left(V_y\right)^2-\left(V_{y o}\right)^2}{2 g} \\&h=\frac{42.183^2-(0)^2}{2(9.81)} \\&h=90.69 \mathrm{~m}\end{aligned}$$[/tex]
So, the height of the cliff is [tex]$90.69 \mathrm{~m}$[/tex]
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When evaporating solvent from a solution by gently blowing compressed air on it, why is it helpful to warm the solution?
Solvent evaporation reduces the vapor pressure of the liquid by removing heat energy from the solution and container, cooling both as a result. Warming the remedy mitigates this
One way to separate the components of a mixture with a dissolved solid in a liquid is through evaporation. The liquid evaporation, or transforms from a liquid to a gaseous condition. It frequently calls for heat. The solid is all that remains after the liquid has entirely evaporated. The spontaneous passage of molecules from the liquid phase to the gas phase is known as evaporation. Condensation's opposite is evaporation.
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A mass of 30.4 g stretches a spring up to 0.85 m as it hangs from the spring. what is the spring constant?
By using Hooke's Law, the spring constant is 0.358 N/m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
From the question above, we know that
m = 30.4 grams = 0.0304 kg
x = 0.85 m
Find the weight
W = m . g
W = 0.0304 . 10
W = 0.304 N
By substituting the given parameters, we get
F = k . x
W = k . x
0.304 = k . 0.85
k = 0.304 / 0.85
k = 0.358 N/m
Hence, the spring constant is 0.358 N/m.
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a car accelerates from rest to 22 m/s in 12.5 seconds. what distance does it cover in this time?
Answer:
Hope the picture helps you.............
An equilibrium in a game in which players pursue their own self-interests and do not cooperate is called a:_________
The Equilibrium in a game in which players pursue their self-interests and do not cooperate is called as Non-Cooperative Equilibrium.
What is Non-Cooperative Equilibrium?As opposed to cooperative games, non-cooperative games feature individual player competition, and alliances can only function there if they are self-enforcing. It is conceivable to model cooperation using non-cooperative game theory and competition using cooperative game theory, since the terms "cooperative" and "non-cooperative" are merely technical phrases for the game theory that is used to model a game.
The primary differentiating factor is the lack of an outside authority to set norms mandating cooperative behavior. Players are unable to form coalitions without outside control (such as contract law), therefore they must face off against one another alone.
Hence, Non-Cooperative Equilibrium is the state of a game in which players just look out for themselves and do not collaborate.
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3x+5=40 solve for x to get the answer.
This is question isnt real i just need to talk
with someone
Explanation:
3x=40-5
3x=35
x=35/3
x=11.66 or x=11 2/3
Of the four states of matter, which has particles that are the most tightly packed together?
O liquid
O solid
O gas
O plasma
Answer: In solids, the particles are tightly packed together. In liquids, the particles have more movement, while in gases, they are spread out. Particles in chemistry can be atoms, ions or molecules.
Explanation: hope this helps
solid state of matter is a particles which has the most tightly packed together.
A space traveller weighs herself on earth at a location where the acceleration due to gravity is 9.81 m/s29.81 m/s2 and finds a value of 515 n.515 n. what is her mass?
The mass of the space traveller on earth is calculated as 56.22 kg. The correct answer is 56.22 kg
What is force?
Force is termed as the product of mass and acceleration. Terms like stretch and squeeze also can be used to denote force. In Physics, force is defined as: The push or pull on an object with mass causes it to vary its velocity. Force is an external agent capable of adjusting a body's state of rest or motion. it's a magnitude and a direction.
Given information;
A space traveler weighs herself on Earth at a location where the acceleration due to gravity is 9.81 meters per second square.
And force applied on earth 551 N.
The value of mass can be determined by using the formula;
Force = Mass × Acceleration
Mass = [tex]\frac{Force}{Acceleration}[/tex]
Substitute all the values in the formula;
Mass = [tex]\frac{Force }{Acceleration }[/tex]
Mass = [tex]\frac{551}{9.81}[/tex]
Mass = 56.22 kg
Hence, the mass of the object is 56.22 kg
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A proton is placed in an electric field of intensity 800 n/c. what are the magnitude and direction of the acceleration of the proton due to this field?
The acceleration of the proton due to this field is 7.66 × 10¹⁰ m/s² in
the direction of the electric field.
What is Electric force on a Charged particle?
The electric force on a charged particle is measured using the following formula.
F=qE
The charge is q and the electric field intensity is E
So, we need the charge on the particle and electric field intensity to calculate the electric force on a charged particle.
Also, from Newton's laws of motion;
F = ma
where m is mass = 1.67×10⁻²⁷kg and a is acceleration
ma = qE
a = qE/m
a = [tex]\frac{1.6 * 10^{-19} *800}{1.67 *10^{-27} }[/tex]
a = 7.66 × 10¹⁰ m/s²
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Venus and earth started out with roughly the same amount of water. while earth still has water in abundance, all of venus' was lost. where did it go?
Ultraviolet rays split the hydrogen from the oxygen components, and the hydrogen escaped into space.
How did the water disappear on Venus?Venus and earth begun out with generally the same amount of water. whereas soil still has water in wealth, all of Venus' was lost. At Venus, the solar wind strikes the upper air and carries off particles into space. Planetary researchers think that the planet has misplaced portion of its water in this way over the four and a half thousand million a long time since the planet's birth.
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A ball is thrown directly downward with an initial speed of 7.05 m/s, from a height of 29.9 m. after what time interval does it strike the ground? s
The ball that is thrown directly downward with an initial speed of 7.05 m/s, from a height of 29.9 m. takes 3.29 s to strike the ground
The formula for the downward vertical launch and the procedure we will use is:
t = {V₀ + [tex]\sqrt{}[/tex][(V₀)² + 2*g*y]}/ g
Where:
v₀ = initial velocityg = gravityy = heightt = timeInformation about the problem:
g = 9.8 m/s²v₀ = 7.05 m/sy = 29.9 mt= ?With the information gave, we can calculate the time from the ball is thrown, using the formula of downward vertical launch:
t = {V₀ + [tex]\sqrt{}[/tex][(V₀)² + 2*g*y]}/ g
t = {7.05 m/s + [tex]\sqrt{}[/tex][(7.05 m/s)² + 2*9.8 m/s²*29.9 m]}/ 9.8 m/s²
t = {7.05 m/s + [tex]\sqrt{}[/tex][49.70 m²/s² + 586.04m²/s² ]}/ 9.8 m/s²
t = {7.05 m/s + [tex]\sqrt{}[/tex][635.74 m²/s² ]}/ 9.8 m/s²
t = {7.05 m/s + 25.214 m/s}/ 9.8 m/s²
t = 32.26 m/s/ 9.8 m/s²
t = 3.29 s
What is vertical launch?In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.
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A cube 5.0 cmcm on each side is made of a metal alloy. after you drill a cylindrical hole 2.5 cmcm in diameter all the way through and perpendicular to one face, you find that the cube weighs 6.30 nn.
(a) The density of the metal is 7486.88kg/[tex]m^{3}[/tex]
(b) The cube weigh 9.17N before we drill a hole in it.
The Newton's second rule, the definition of density, and the geometric relationships that enable us to calculate the volume of the given figures must all be applied in order to answer this problem.
The volume of a cube with equal sides is found in this situation by
[tex]V_{c} = l^{3}[/tex]
[tex]V_{c} = 5^{3}[/tex] = 125[tex]cm^{3}[/tex]
When it comes to perforated material, we know that its volume is determined by the cylindrical geometry, or
[tex]V_{d} = \pi r^{2} l[/tex]
[tex]V_{d} = \pi (\frac{2.5}{2}) ^{2} *5[/tex] = 12.5[tex]\pi cm^{3}[/tex]
The net volume would be in this case: ΔV = 125[tex]cm^{3}[/tex] - 12.5[tex]\pi cm^{3}[/tex] = 85.75[tex]cm^{3}[/tex] = 85.75×[tex]10^{-6}[/tex][tex]m^{3}[/tex]
Since we already know the weight and gravity, we can use Newton's second law to get the mass,
F = mg
[tex]m =\frac{6.3}{9.8}[/tex]
m = 0.642kg
Part(a) Based on the relationship between density and the mass and volume units, we must use;
ρ = m/v
ρ = [tex]\frac{0.642}{85.75*10^{-6} }[/tex]
ρ = 7486.88kg/[tex]m^{3}[/tex]
So, the density of the metal is 7486.88kg/[tex]m^{3}[/tex]
Part(b) Next, determine the cube's weight.
W = mg = Vρg
W = 125×[tex]10^{-6}[/tex] × 7486.88 × 9.8
W = 9.17N
The cube weigh 9.17N before we drill a hole in it.
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What is the index of refraction of a material in which the red-light wavelength is 450 nm?.
The index of refraction of a material in which the red-light wavelength is 450 nm is 1.38≤n≤1.67.
What is index of refraction?Refractive Index (Index of Refraction) is a value calculated from ratio of the speed of light in a vacuum to that in a second medium of greater density. The refractive index variable is most commonly symbolized by letter n or n' in descriptive text and mathematical equations.
The refractive index n is the factor by which wave slows down relative to the speed of light in vacuum c0 . Almost always, frequency of a wave is constant and so it is the speed and wavelength that change as light passes from one medium into another.
So the wavelength λ inside of the medium is related to free space wavelength λ0 through the refractive index n .
λ=λ0/n
Red light has free space wavelength λ0 of anywhere from 620 nm to 750 nm. All of those of wavelengths look red to our eyes. From above equation refractive index is
n1=λ0/λ=620 nm/450 nm=1.38
n2=λ0/λ=750 nm/450 nm=1.67
Based on information you gave, the refractive index could be anything in the range 1.38≤n≤1.67.
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This is for Earth Space Science
One of the major events that contributed to Snowball Earth was the series of large volcanic eruptions that occurred 700 million years ago in what is now Canada. These eruptions caused ⎽⎽⎽(blank)⎽⎽⎽⎽⎽ particles to get trapped in the atmosphere. The particles blocked incoming solar radiation, which had a strong ⎽⎽⎽(blank)⎽⎽⎽ effect on the planet.
1. carbon dioxide; warming
2. sulfur gas; warming
3. sulfur gas; cooling
4. carbon dioxide; cooling
The words that complete the blanks are; carbon dioxide; warming. Option 1
What is volcanic eruption?The term volcanic eruption has to do with a situation in which molten magma suddenly bursts out of the earth and may solidify to give rise to the emergence of rocks. We know that rocks are the solid parts of the earth hat may occur above or below the earth's crust. During a large volcanic event. It is common that carbon dioxide is evolved into the atmosphere.
To complete the sentence; One of the major events that contributed to Snowball Earth was the series of large volcanic eruptions that occurred 700 million years ago in what is now Canada. These eruptions caused carbon dioxide particles to get trapped in the atmosphere. The particles blocked incoming solar radiation, which had a strong warming effect on the planet.
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The average speed of a runner in a 352. meter race is 8.0 meters per second. How long did it take the runner to complete the race?
Taylan is at rest with a cement truck in outer space at the space station, then Taylan begins to push on the cement truck with all his might to keep it from hitting the space station. What is that Susan will see really happening?
a
Taylan moving slowly backwards, while the cement truck moves away really slow.
b
Taylan moving backwards quickly, while the cement truck moves away really slow.
c
Taylan moving slowly forwards, while the cement truck moves towards him really fast.
d
Taylan moving slowly backwards, while the cement truck moves away really fast.
e
Taylan moving forwards quickly, while the cement truck moves away really fast.
Susan will see that Taylan moving slowly backward, while the cement truck moves away really slowly, therefore the correct answer is option A.
What is Newton's third law of motion?
Newton's third law of motion explains that forces exist in pairs. It states that for every action force there exists equal and opposite reaction force, these pairs of forces are equal in magnitude but opposite in direction.
As given in the problem, Taylan is at rest with a cement truck in outer space at the space station, then Taylan begins to push on the cement truck with all his might to keep it from hitting the space station,
Thus, Susan will see that Taylan moving slowly backward, while the cement truck moves away really slowly, therefore the correct answer is option A.
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A car moving with constant acceleration covers the distance between two points 120 m apart in a time of 8.0 s. its speed at the second point is 12 m/s. what is the speed of the car at the first point?
The speed of the car at the first point is 18 m/s.
How do we calculate the initial speed?
The equation we can be used for finding the speed of the first point is:
⇒ Δx = ½ (v + v₀)t
From this we can easily calculate v₀ i.e,
⇒ v₀ = 2Δx/t - v
According to the question it is given that,
Distance between two points is , Δx =120 m,
Time t = 8.0 s,
Speed at second point is, v = 12 m/s,
Speed at first point is, v₀ = ?
From above formula,
⇒ v₀ = 2Δx/t - v
= 2×120/8 - 12
= 240-96/8
= 144/8
= 18 m/s
Therefore the speed at first point is 18 m/s.
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-2,-9 reflected across the y axis??
Answer:
(2,-9)
Explanation:
Reflection over the y-axis:
As a general rule any point (x, y) reflected over the y-axis becomes ( -x, y)
The y-axis acts like a mirror.
Reflect (-2, 9) over the y-axis:
The point (-2,-9) reflected over the y-axis becomes point ( 2,-9)
Hich physical law underlies the first law of thermodynamics? conservation of matter increase in entropy conservation of energy conservation of work
Conservation of energy describes law of thermodynamics.
Energy can be converted from one form to another, but it cannot be created or destroyed. According to the rule of conservation of energy, the total energy of any isolated system (for which energy and matter transfer over the system boundary is not feasible) is constant.
deltaU=Q-W
where Delta U}\Delta U denotes the change in the internal energy of a closed system (for which heat or work through the system boundary are possible, but matter transfer is not possible), Q denotes the quantity of energy supplied to the system as heat, and W denotes the amount of thermodynamic work done by the system on its surroundings
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Sound from the siren of an emergency vehicle has a frequency of 667.2 hz and moves with a velocity of 349.8 m/s. what is the distance from one condensation to the next?
Sound from the siren of an emergency vehicle has a frequency of 667.2 hz and moves with a velocity of 349.8 m/s, thus the distance from one condensation to the next is 0.52m.
Sound wave characteristicsWaves of sound exist. A disturbance of matter that is conveyed from its source outward is how sound is more precisely defined. Anything that is shifted out of its balance is considered a disturbance.
Some sound waves are classified as periodic waves, which means that the matter’s atoms move in a straightforward harmonic fashion.
As, a string vibrating creates a sound wave. A portion of the string’s energy is used to compress and expand the surrounding air as it oscillates back and forth.
Pressures are a little bit higher and lower as a result. Low pressure regions are rarefactions, and higher-pressure regions are compressions. The air is moved by the pressure anomaly.
Provided that,
∨= 667.2 hz
V= 349.8 m/s
λ =?
∨ = x/λ
λ = 349.8/667.2
λ = 0.52m
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If a gas and a liquid are at the same temperature and pressure, diffusion occurs much faster in the gas because:_________
Diffusion occurs more quickly in gases than in liquids because the space between the constituent particles in gases is higher than in liquids. Gas particles therefore have more kinetic energy and move more quickly.
What causes diffusion to occur more quickly in a gas than a liquid at the same temperature?Because there is more space between the constituent particles in gases than in liquids, diffusion happens more quickly in gases than in liquids. As a result, the kinetic energy and speed of the particles in gas are increased.
Why does diffusion happen more quickly in a gas?Compounds diffuse more swiftly through gases than through liquids depending on the type of substance.
This is due to the fact that particles in a gas are more dispersed and move more quickly than those in a liquid.
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In ernest rutherford's gold foil experiment, why did alpha particles sometimes (1 in 8,000) fly violently in a random direction?
In ernest rutherford's gold foil experiment, why did alpha particles sometimes (1 in 8,000) fly violently in the positive alpha particle were perfectly aligned to strike a nucleus.
In Rutherfords' experiment, the positively charged alpha particles were perfectly aligned to strike the nucleus. Thus they got deflected in a random direction due to repulsions between the positively charged nucleus and positively charged alpha particles.
Ernest Rutherford conducted this experiment in response to J.J. Thomson's plum-pudding model experiment.
A thin piece of gold foil, an alpha particle-emitting radioactive source, and a fluorescent screen that encircles the gold sheet were used in this experiment. He set the radioactive source in front of the gold sheet, which had a fluorescent screen surrounding it. Now, the alpha particle from that radioactive source bombarded this gold foil sheet.
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The following are summary statistics on triglyceride levels measured in a sample of n= 200 participants. are there outliers? justify your answer.
Statistics on triglyceride levels measured that there are no outliers as the minimum value (38) exceeds the lower limit of outliers and the maximum value (394) is less than the upper limit of outliers.
The risk of heart disease and stroke is increased by a number of disorders, including obesity and metabolic syndrome, which is characterised by excess body fat around the waist, high blood pressure, high triglycerides, high blood sugar, and abnormal cholesterol levels.
Your doctor categorises elevated triglyceride levels as: 150–199 mg/dL for mild. 200 to 499 mg/dL is moderate. Significant: More than 500 mg/dL.
Choosing a healthy lifestyle can help lower elevated triglyceride levels. Diet. Avoid simple carbs like sugar, white flour-based foods, fructose, trans fats, and food items containing hydrogenated oils or fats. Olive oil and canola oil are examples of plant-based fats that can be used in place of the fat present in meats.
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The complete question is ''The following are summary statistics on triglyceride levels measured in a sample of n = 200 participants. Are there outliers? Justify your answer.
n = 200 X = 203 s = 64 Min = 38 Q1 = 59 Median = 180 Q3 = 243 Max = 394''
Given the s-n curve for 4340 steel, is there an endurance limit? if so, what is the stress value for the endurance limit? (4 pts)
The endurance limit is defined as the maximum amplitude. at Completely reversed stress that the standard Specimen Can Sustain for a 10° Cycle with out fatigue failure.
From the below graph,
[tex]10^6[/tex] cycles --> stress amplitude σ( MPa) = 750 M Pa
What is stress amplitude in fatigue?The fatigue strength is the stress amplitude at which failure occurs for a given number of cycles. N is the number of cycles required for a material to fall flat at a given stretch in order to extend fatigue life. S = Smax-Smin, the stretch runThe fatigue limit could be a stress amplitude threshold value. Stretch amplitudes below this level do not result in failure, whereas stretch amplitudes above the fatigue constraint result in crack initiation and split growth, which leads to failure. The fatigue strength is the stress amplitude at which failure occurs for a given number of cycles. N is the number of cycles required for a material to fail in fatigue life at a given stress range.The maximum amplitude is used to define the endurance limit. The standard specimen can withstand completely reversed stress for a 10° cycle without fatigue failure.To learn more about stress amplitude, visit;
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After completing their research, scientists often publish their data in journals or present their results at conferences so other scientists can evaluate their experiments. Why is this a necessary part of the scientific process?
The publication of research in peer-reviewed journals and conferences is a necessary part of the scientific process to ensure the dissemination of the line of investigation and thus increase the knowledge about a given topic.
What is the purpose of dissemination in research?In science, dissemination has a fundamental role because it ensures cutting-edge of knowledge about a given topic in particular, which is achieved by publication in journals.
In conclusion, the publication of research in peer-reviewed journals and conferences is a necessary part of the scientific process to ensure the dissemination of the line of investigation and thus increase the knowledge about a given topic.
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From your observations in electrostatics i, what evidence is there for the existence of at least two varieties of charge? have you seen anything that shows that a third type of charge exists?
No there is nothing that shows third type of charge existence.
Why do we know there are two different kinds of charges?A few straightforward experiments can demonstrate the existence of two different types of charges. As it loses electrons to the silk cloth when the glass rod is rubbed against it, the glass rod becomes positively charged. The silk material acquires a negative charge.
Why are there two different types of fees?The physical characteristic of matter is its electric charge. It comes in both positive and negative forms. While opposite charges repel one another, like charges attract.
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If a process removes heat from a system, must the system's temperature decrease in this process?
If a process removes heat from a system, must the system's temperature decrease in this process,
No the system's temperature could stay the same if there is work done on the system to exactly compensate for heat loss.Since heat removes = work done on the system then change in internal energy will be zero. hence there will be no change in temperature of the system. then Temperature of the system depend on the Internal Energy of the system.internal energy is the total amount of all potential and kinetic energyif a system is heated means that it gains internal energy and if loses heat means decrease in internal energyTo know more about internal energy visit : https://brainly.com/question/11278589
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On average, an African elephant is 12,125 lbs. What is the mass of an African elephant in kilograms, expressed in scientific notation (1 lb = 0.4536 kg)?
Answer:
See below
Explanation:
12 125 lbs * .4536 kg/lb = 5499.9 kg = 5 .4999 x 10 ^3 kg
Please help, don’t need explanations
The cyclist gets chemical energy from the food.
Peddling transfers mechanical energy to the Dynamo.
Electrical energy is transferred through the wires.
The bulb transfers energy to the room by converting electrical energy into light energy and heat
The sun is a store of solar energy.
Energy is transferred to solar cell by solar panel.
Electrical energy is transferred through the wires.
Energy is transferred to water by conduction.
The water is a store of hydro energy.
Energy is transferred to room by heat energy.
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Why is an action potential conducted in only one direction, from an axon hillock to an axon terminal?
The action potential is conducted in only one direction because the brief refractory period inhibits reopening of voltage-gated Sodium (Na) channels.
There is a slight depolarization of the membrane potential which causes the sodium channels residing in the neuronal membrane to open. Therefore, the leading edge of more additional nearby sodium channels gets activated when an action potential is able to depolarize the membrane. This results in another depolarization spike, the leading edge of which opens up more nearby sodium channels, etc.
So, from the point of start, depolarization of waves propagates. The action potential then moves along an axon in every direction. Action potentials, however, go one way. This is due to the sodium channels' ability to close after activation, known as their refractory period. This movement guarantees that the action potential travels along the axon in a particular direction.
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A car accelerates from 5m/s to 20m/s in 2.5 seconds
Acceleration of the car is 6 m / s ².
a = ( v - u ) / t
a stands for acceleration
u stands for initial velocity
v stands for final velocity
Given ,
u = 5 m / s
v = 20 m / s
t = 2.5 s
a = ( v - u ) / t
a = ( 20 - 5 ) / 2.5
= 15 / 2.5
a = 6 m / s ²
Hence , Acceleration of car is 6 m / s ² .
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The given question is incomplete kindly refer below for complete question :
A car accelerates from 5m/s to 20m/s in 2.5 seconds . Find the acceleration of the car .
