The velocity as a function of time of a moving particle is given by v = α+ βt2 , where α and β are constants and t is time in s. What is the acceleration of the particle at 3 s?​

Answers

Answer 1

The acceleration of the particle at 3s is [tex]a = 6 \beta [/tex]

[tex]v = \alpha + \beta {t}^{2} [/tex]

How to calculate acceleration

[tex]a = \frac{dv}{dt} \\ v = \alpha + \beta {t}^{2} \\ \frac{dv}{dt} = 0 + 2 \beta t \\ [/tex]

if Time is given as 3s

therefore, Acceleration is

[tex]a = 2 \beta t \\ a = 2 \beta 3 \\ a = 2 \times \beta \times 3 \\ a = 6 \beta [/tex]

Acceleration is

[tex]a = 6 \beta [/tex]

What is acceleration and velocity?

This is the change in velocity with respect to time.

Velocity is a vector quantity that denotes the rate of change of position with respect to time, or a speed with the directional component.

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Related Questions

How much required force is required to move a 100kg box to get it moving? Static friction is 0.5, kinetic friction is 0.3 and gravity is 9.5m/s^2

Answers

Answer:

47.5 N

Explanation:

Given

mass, m = 100 kgcoefficient of static friction, μ(s) = 0.5coefficient of kinetic friction, μ(k) = 0.3gravity due to acceleration, g = 9.5 m/s²

Solving

It asks the required force to get it moving ⇒ static frictionForce required to move = μ(s) x m x gF = 0.5 x 100 x 9.5F = 95 x 0.5 = 47.5 N
The answer is 47.5N ….

Look at the diagram. Both cars start from the same point. Which describes the motion shown?
A:One car travels south at 4 m/s. The other car travels east at 2 m/s.
B:One car travels north at 4 m/s. The other car travels west at 2 m/s.
C;One car travels north at 2 m/s. The other car travels east at 4 m/s.
D: One car travels south at 4 m/s. The other car travels west at 2 m/s. 7 of 10

The original photo wouldn't load...

Answers

Answer: The answer is C.

Explanation: C is the correct answer. The magnitude of the vector increases with the length of the line. Consider a compass when it comes to direction.

can someone please tell me how to calculate the initial kinetic energy​

Answers

In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2

Which of the following statements is true for both solar energy and wind energy? (1 point)
O Energy collection equipment can be installed in agricultural areas without affecting crop production
O Power from this energy source can easily be integrated into existing power grid systems.
O Energy is able to be collected both day and night.
O Power generation using this energy source does not contribute to water pollution

Answers

The statement that is true for both solar energy and wind energy is that power generation using this energy source does not contribute to water pollution.

What is solar and wind energy?

Solar energy is the energy in the form of electromagnetic radiation emitted from the Sun while wind energy is the energy generated from from moving currents of the wind using wind turbines.

Solar and wind energies are both renewable sources of energy i.e. they cannot be exhausted.

However, the generation of power from both solar and wind sources does not pollute water.

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The blood travels through the body in tubes called

Answers

Blood travels through the body in tubes called arteries and veins.

What are blood vessels?

Blood vessels are tubes through which the blood circulates in the body. Blood vessels include the following;

network of arteries, arterioles, capillaries, venules and veins

Thus, we can conclude that blood travels through the body in tubes called arteries and veins.

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HELP FAST!!!!!


I DONT UNDERSTAND ​

Answers

Answer:

A

Explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

If we want to get an estimate for the average distance from the sun to a planet, how might we go about doing this? (Choose one answer):

1. By measuring the eccentricity of the orbit, which is directly
related to the size of the orbit's ellipse and hence the distance
from the sun.

2. Measure its orbital period (the time it takes to complete a
single orbit) because Kepler's third law allows us to calculate
the orbit's semi-major axis from this.

3. This cannot be done without sending a probe to the planet.
We have done this for some planets already, but not others.

Answers

The distance between the sun and a planet can be gotten by measuring its orbital period and applying the Kepler's law.

Kepler's laws

According to Keplers third law; the cube of the distance between a planet and the sun is directly proportional to the square of the period of the same planet.

Having said that, we know that we can best measure the distance between the sun and a planet by measuring its orbital period and applying the Kepler's law.

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Which of the following is evidence that electromagnetic radiation can be described by the wave model?(1 point)

Atoms absorb and emit electromagnetic radiation at discrete energy values.

Light from a flashlight spreads out to illuminate a dark room.

Electromagnetic radiation loses energy when it scatters off charged particles.

Light travels from faraway stars to Earth.

Answers

Answer:

Light travels from faraway stars to earth.

Answer:

light from a flashlight spreads out to illuminate a dark room

Explanation:

just took the quiz

When an object is lifted 12 meters off the ground, it gains a certain amount of potential energy. If the same object is lifted 24 meters off the ground, its potential energy is
A.
the same.
B.
three times as much.
C.
twice as much.
D.
four times as much.

Answers

I think the answer is twice as much

A radioactive sample starts with 800,000 undecayed nuclei. After 12 hours, 700,000 of the nuclei have decayed. What is the half-life of the sample?

A. 3 hours

B. 12 hours

C. 6 hours

D. 4 hours

Answers

Answer:

100,000 / 800,000 = 1 / 8    amount of sample after 12 hours

(1/2)^n = 1 / 8      after n half-lives 1/8 of sample will be left

n = 3

(D) is the correct answer - 1/2 half-life = 4 hours

A saddle weighs 250 newtons. The mass of the saddle is __________ kilograms. Use g = 9.8 N/kg for gravity.

Answers

Answer:

saddle weighs 250 newtons. The mass of the saddle is ____250/9.8 kg______ kilograms. Use g = 9.8 N/kg for gravity.

Starting in 2009, astronomers have been discovering really cool objects out there (cool here meaning low-temperature, as well as really interesting), which they have called Y dwarfs. What distinguishes these brown dwarfs from others that astronomers have discovered

Answers

These brown dwarfs can be distinguished from other star-like objects because they exhibit absorption lines from the ammonia molecule in the spectra.

What are brown dwarfs?

Brown dwarfs are star-like (small) objects in the external space that exhibit very low cold temperatures.

Brown dwarfs are not only small stars but also huge gaseous planets such as Saturn and Jupiter.

In consequence, brown dwarfs are a wide category that includes both planets and star-like objects.

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You walk to school every day. It is 0.5 miles. After school you walk to Kroger, which is 1.3 miles. You leave Kroger to go all back home, which is 0.8 miles. What is the total distance you have walker today?

Answers

The total distance you haved walked should be 2.6 miles

Most meteors burn up in the

Answers

Answer:

the Mesosphere

Most meteors burn up in the mesosphere. Unlike the stratosphere, temperatures once again grow colder as you rise up through the mesosphere.

Explanation:

Have a nice day

Answer:

The Mesosphere

Explanation:

It is the coldest layer.

the placement of the Sun, the Moon, and Earth in each circumstance is

Answers

Answer:

Tides and Water Levels

Explanation:

When the sun, moon, and Earth are in alignment (at the time of the new or full moon), the solar tide has an additive effect on the lunar tide, creating extra-high high tides, and very low, low tides—both commonly called spring tides

:)

When studying the photoelectric effect, which parameters did scientists think were relevant for electrons to be released or not in both the wave and particle models?


A. intensity only for both models

B. frequency and intensity for the particle model; frequency only for the wave model

C. frequency only for both models

D. frequency and intensity for the wave model; frequency only for the particle model

I marked it as B, but I am not certain.

Answers

Answer:

D.

Explanation:

The answer should be D. frequency and intensity for the wave model; frequency only for the particle model.


I hope it helps! Have a great day!

Anygays-

The parameter will be frequency and intensity for the wave model and the frequency only for the particle model.

What is the photoelectric effect?

When a medium receives electromagnetic radiation, electrostatically charged particles are emitted from or inside it.

The emission of ions from a steel plate when light falls on it is a common definition of the effect. The substance could be a solid, liquid, or gas; and the released particles could be protons or electrons.

The above effect is the photoelectric effect. Frequency and intensity for the wave model; frequency only for the particle model.

Hence option D is correct.

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This type of soil is found in warm, humid climates. question 5 options: pedocal laterite pedalfer humus

Answers

Answer:

Laterite would be your answer.

Explanation:

I hope this helps!

Laterite is the type of soil is found in warm, humid climates.

What is laterite soil?

Laterite is rich in iron and aluminum soil and rock type that is thought to have originated in hot, humid tropical climates. Nearly all laterites are of rusty-red hue, because of significant iron oxide concentration.

They form as a result of intense and extended erosion of the underneath rock material, which occurs most often when there are high temperatures and significant rainfall, with alternate wet and dry intervals.

Tropical weather is a long-term chemical weathering process that results in a wide range of soil thickness. Laterite is the type of soil is found in warm, humid climates.

Hence laterite is the correct option.

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Why is the speed of different sounds in a single medium remain the same though wavelength is different?

Answers

Answer:

I think it's because the refractive index of that medium is constant

How much work is done by a constant horizontal 20-N force pushing a 50-kg block a distance of 10 m on a horizontal surface

Answers

Answer:

200 Nm

Explanation:

Work Done by Particular Force = Particular Force × Distance

which statment about scientific knoledge is false

Answers

The phrase "scientific knoledge" in the question is spelled correctly.

there are no statements or a picture of statements to look at

initial velocity 0 km/hr, final velocity 24km/hr, time 3s, what is acceleration

Answers

Answer:

8 km/hr

Explanation:

Acceleration

=Change in Velocity/ Time

=(24-0)/3

=8

The acceleration of the body is {a} = 8 km/hr².

What is acceleration?

Acceleration is defined as the rate of change of velocity per unit time.

Given is -

Initial velocity : 0 km/hr

Final velocity : 24km/hr

Time : 3s

We can write the acceleration as -

a = Δv/Δt

a = (24 - 0)/(3 - 0)

a = 24/3

a = 8 km/hr²

Therefore, the acceleration of the body is {a} = 8 km/hr².

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The ratio of force and mass is known as
A. Velocity B. Momentum C. Acceleration D. Displacement

Answers

Answer:

Acceleration

Explanation:

We know that Force = Mass * Acceleration according to the formula.

Divide both sides by “Mass” which leaves us with Force/Mass = Acceleration, in word, it’s ratio of force and mass equals acceleration.

During which month will the pointer stars of the Big Dipper point directly upward, away from the horizon?

Pls helppp

Answers

Answer:

April

Explanation:

The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given time is 96.875%. How many half-lives has the sample experienced?

A. 5

B. 4

C. 6

D. 3

I believe it's 4, but I'm not entirely sure.

Answers

The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given time is  96.875%. The sample has experienced 5 half lives. The correct option is A.

What is half life?

Half life is the time required for the heavy nucleus or any radioactive material to disintegrate by half its quantity.

After one half life, the probability of decay of any nucleus is given by 50%. = 0.5

After two half lives gone,  probability of decay is 0.5 + 1/2(0.5) = 0.75

After, three half lives gone,  probability of decay is 0.5 + 1/2(0.5) + (1/2)²(0.5) = 0.875

After, four half lives gone,  probability of decay is 0.5 + 1/2(0.5) = 0.875 + (1/2)³(0.5) = 0.9375.

After, five half lives gone,  probability of decay is 0.9375 + (1/2)⁴(0.5) = 0.96875.

Thus, the sample has experienced 5 half lives. The correct option is A.\

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whay happen to your eyes when you suddenly exit out of s cinema hall?why?​

Answers

Answer:

They take a little bit to adjust to the light.

Explanation:

Because being in the dark cinema for so long, out eyes had gotten used to it being that dark while watching the movie. When we leave or go outside from it, it is a lot brighter out and our eyes arent adjusted.

Who should be the cert team leader's first concern?

Answers

Answer:

to ensure the safety of those in need

Explanation:

A resistor of 4 ohms is connected isn series to a box speaker of unknown resistance.If a current of 0.6A flows through the speaker when a voltage of 12V is applied across the combination, calculate: 1. the total resistance in the circuit. ii. the resistance of the speaker ili. the voltage applied across the speaker

Answers

Answer:

the total resistance: 20 ohms

the resistance of the speaker: 16 ohms

the voltage across the speaker: 9.6V

A force of 1 N is equal to which combination of SI units?
O A. 1J/m-s2
OB. 1 kg-m/s2
O C. 152-kg/m
D. 1 m/J's
SUBM

Answers

Answer:

F = M a = kg * m/s^2

1 N = 1 kg * m/s^2

(B) is correct

An erect object is 50 cm from a concave mirror of radius 60 cm. In the situation above, the object is moved to a new position, such that the new lateral magnification is 2.5. The new object distance, in cm, is closest to:

Answers

For an erect object is 50 cm from a concave mirror of radius 60 cm. In the situation above, the object is moved to a new position, the new object distance is mathematically given as

u = -18cm

What is the new object distance?

Generally, the equation for magnification is mathematically given as

1/f = 1/v +1/u

therefore,

-1/30 = 1/v + 1/u

v = -2.5u

Hence,

-1/30 = -1/2.5u + 1/u

-1/30 = (3/5)u

u = -18

In conclusion, the new object distance is

u = -18cm

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A bus is traveling at 25 m/s, and a cyclist is traveling at 5 m/s behind the bus, in the same direction. the frequency of a sound coming from the bus is observed by the cyclist to be 1000 hz. approximately what is the frequency of the sound as perceived by the bus driver

Answers

Answer:

Approximately [tex]1061\; {\rm Hz}[/tex] (rounded to the nearest whole number,) assuming that the speed of sound in the air is [tex]330\; {\rm m \cdot s^{-1}}[/tex].

Explanation:

Let [tex]v[/tex] denote the speed of this sound wave: [tex]v = 330\; {\rm m\cdot s^{-1}}[/tex] by assumption.

Let [tex]\Delta v[/tex] denote the speed at which the source (the bus) moves away from the observer (the cyclist.) In this question, [tex]\Delta v = 25\; {\rm m\cdot s^{-1}} - 5\; {\rm m\cdot s^{-1}} = 20\; {\rm m\cdot s^{-1}}[/tex].

Let [tex]d[/tex] denote the distance between the source (the bus) and the observer (the cyclist) when the first crest leaves the source. At a speed of [tex]v[/tex], it would take [tex]d / v[/tex] before the first crest arrive at the observer.

Let [tex]T[/tex] denote the period of this wave. If a crest of this wave leaves the source at [tex]t = 0[/tex], the very next one would leave at [tex]t = T[/tex]. Since the source is moving away from the observer at [tex]\Delta v[/tex], the distance between the two would have since increased from [tex]d[/tex] to [tex](d + \Delta v\times T)[/tex]. At a speed of [tex]v[/tex], this crest would now need [tex](d + \Delta v\times T) / v[/tex] to reach the observer.

In summary:

The first crest leaves the source at [tex]t = 0[/tex] and arrives at the observer at [tex]t = d / v[/tex].The second crest leaves the source at [tex]t = T[/tex] and arrives at the observer at [tex]t = T + (d + \Delta v\times T) / v[/tex].

The time difference between the two crests is [tex]T[/tex] at the source. However, at the observer, this difference would have become:

[tex]\begin{aligned} &T + \frac{d + \Delta v\times T}{v} - \frac{d}{v} \\ =\; & T + \frac{\Delta v\times T}{v} \\ =\; & T\times \frac{v + \Delta v}{v}\end{aligned}[/tex].

Therefore, the ratio between the period at the source and at the observer would be:

[tex]\begin{aligned}\frac{T(\text{observer})}{T(\text{source})} &= \frac{\displaystyle T \times \frac{v + \Delta v}{v}}{T} \\ &= \frac{v + \Delta v}{v}\end{aligned}[/tex].

The frequency [tex]f[/tex] of a wave is equal to the reciprocal of its period [tex]T[/tex]. In other words, [tex]f = (1 / T)[/tex]. Therefore:

[tex]\begin{aligned}\frac{f(\text{observer})}{f(\text{source})} &= \frac{T(\text{source})}{T(\text{observer})} \\ &= \frac{v}{v + \Delta v}\end{aligned}[/tex].

Since [tex]f(\text{observer}) = 1000\; {\rm Hz}[/tex], [tex]\Delta v = 20\; {\rm m\cdot s^{-1}}[/tex], and [tex]v = 330\; {\rm m\cdot s^{-1}[/tex] by assumption:

[tex]\begin{aligned} & f(\text{source})\\ =\; & f(\text{observer}) \times \frac{v + \Delta v}{v} \\ =\; & 1000\; {\rm m\cdot s^{-1}} \times \frac{330\; {\rm m\cdot s^{-1}} + 30\; {\rm m\cdot s^{-1}}}{330\; {\rm m\cdot s^{-1}}} \\ \approx\; & 1061\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

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