An automobile is driven on a straight road, and the distance traveled by the automobile after time t=0 is given by a quadratic function a where a(t) is measured in feet and t is measured in seconds for 0 <= t <= 12. Of the following, which gives the best estimate of the velocity of the automobile, in feet per second, at time t = 8 seconds?

a. s(8)
b. s(8)/8
c. s(12)- s(2)/ 12-2
d. s(9)- s(7)/9-7

Answer:

The  correct option is  A

Explanation:

Generally the force on [tex]q_2[/tex] is mathematically represented as

      [tex]F_2 = \frac{ k * q_1 * q_2 }{ x^2}[/tex]

here k is the coulombs constant with value [tex]k = 9*10^{9}\ kg\cdot m^3\cdot s^{-4} \cdot A^{-2}.[/tex]

=>   [tex]F_2 = \frac{ 9*10^{9} * 10*10^{-9} * 18*10^{-9} }{ 9^2}[/tex]

=>    [tex]F_2 = 2*10^{-8} \ N[/tex]

=>   [tex]F_2 = 20*10^{-9} \ N[/tex]

=>   [tex]F_2 = 20nN[/tex]

The  direction is  in the positive x-axis because both charge are of the same polarity so the will repel hence [tex]q_2[/tex] will move toward the positive x-axis

Answer:

A.

Explanation:

Im just guessing because it sounds like it describes a hypothesis the most and you said its urgent

The three ways a car can accelerate are change in velocity, change in direction, or both.

The rate of velocity change concerning time is known as acceleration. The acceleration of the object is;

[tex]\rm a = \frac{v-u}{t}[/tex]

Here,

a is the acceleration

v is the final velocity

u is the initial velocity

t is the period

The three ways a car can accelerate are as follows;

a)Change in velocity.

b)Change in direction

c)Change in both velocity and direction.

Hence, the three ways a car can accelerate are change in velocity, change in direction, or both.

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The Answer Is - 0.58 Kilogram's

Hope This Help's

• Answer:

0.58 kg

• Explanation:

1 kg = 1000 g

580 g = 0.58 kg

Answer:

the y axis, every moment is subjected to a vertical acceleration directed towards the center of the Earth, which is called the acceleration of gravity

Explanation:

In projectile launching, the movement is separated into two movements, one on the x-axis and the other on the y-axis, related through time.

In horizontal movement, the speed is constant, because there is no acceleration in this axis, the effect of air friction is almost always eliminated.

In the other movement on the y axis, every moment is subjected to a vertical acceleration directed towards the center of the Earth, which is called the acceleration of gravity.

This value of the eceleration of gravity is constant for small distances

compared to the radius of the Earth, for higher altitudes an expansion in beings of the distance is used, giving a linear dependence.

Answer:

the one with 2 batteries

Answer:

[tex]a=0.08\ m/s^2[/tex]

Explanation:

Given that,

Mass of a box, m = 18 kg

It is pushed with a force of 250 N

The coefficient of friction is 0.8

We need to find the acceleration of the box.

Normal force acting on the box,

N = mg

M = 18 × 10

N = 180 N

The force acting on the force in terms of coefficient of friction is given by :

[tex]F=\mu mg\\\\\text{or}\\\\ ma=\mu mg\\\\a=\dfrac{\mu }{g}\\\\a=\dfrac{0.8}{10}\\\\a=0.08\ m/s^2[/tex]

So, the acceleration of the box is [tex]0.08\ m/s^2[/tex]

Answer:

Explanation:

Given

Horizontal velocity = 9.00m/s

time taken = 0.550 s

Required

How far does the projectile fall in the vertical direction

Using the formula for finding the maximum height of the projectile

H = U²sin²θ/2g where;

U = 9.00m/s

θ = 90° (object launched in the vertical direction)

g = 9.81m/s²

Substituting the given parameters into the formula;

H = 9²sin²90/2(9.81)

H = 81(1)/19.62

H = 81/19.62

H = 4.128 m

H ≈ 4.13m

Hence the distance that the projectile fall in the vertical direction is 4.13m

Answer:

(C) no change in the temperature of the gas.

Explanation:

isothermal process of a gas, can result to compression of the gas or expansion of the gas at a constant temperature (ΔT = 0).

For isothermal gas expansion, work is done in reducing the pressure of the gas by increasing its volume at a constant temperature. The change in the internal energy of this process is zero (ΔU = 0).

For isothermal gas compression, work is done in decreasing the volume of the gas by increasing its pressure at a constant temperature. The change in the internal energy of this process is also zero (ΔU = 0).

Therefore, when a gas undergoes an isothermal process, there is no change in the temperature of the gas.

Answer:

Nonrenewable Resources

Answer:

fossil fuels

Explanation:

diagonal line means the velocity is constant.

Answer:

a

      [tex]t  =  3.33 \  ns[/tex]

b

i      [tex]D_w  =0.75 \  m [/tex]

ii     [tex]D_g  =0.67 \  m [/tex]

iii     [tex]D_c  =0.46 \  m [/tex]

Explanation:

Generally the time taken to travel 1 m in a vacuum is mathematically represented as

       [tex]t  =  \frac{1}{c}[/tex]

Here c is the speed of light with value  [tex]c =  3.0*10^{8} \  m/s[/tex]

So  

          [tex]t  =  \frac{1}{3.0*10^{8}}[/tex]

          [tex]t  =  3.33*10^{-9} \  s[/tex]

         [tex]t  =  3.33 \  ns[/tex]

The distance light travels in water is mathematically represented as

         [tex]D_w  = \frac{c}{n_w}  *  t[/tex]

Here n_w  is the refractive index of  water with value 1.333

So

      [tex]D_w  = \frac{3.0*10^{8}}{1.333}  *  3.33*10^{-9}[/tex]

     [tex]D_w  =0.75 \  m [/tex]

The distance light travels in glass is mathematically represented as

       [tex]D_g  = \frac{c}{n_g}  *  t[/tex]

Here n_g  is the refractive index of  glass with value 1.5

So

      [tex]D_g  = \frac{3.0*10^{8}}{1.5}  *  3.33*10^{-9}[/tex]

     [tex]D_g  =0.67 \  m [/tex]

The distance light travels in cubic zirconia is mathematically represented as

       [tex]D_c  = \frac{c}{n_g}  *  t[/tex]

Here n_c  is the refractive index of cubic zirconia with value 2.15

So

      [tex]D_c  = \frac{3.0*10^{8}}{2.15}  *  3.33*10^{-9}[/tex]

     [tex]D_c  =0.46 \  m [/tex]

Answer:

f = 25 Hz

Explanation:

We know that :

[tex]v = f*d\\=> f = \frac{v}{d}[/tex]  where f = frequency ; v = speed & d = wavelength

Here in the question ,

Speed = 2500 m/s

Wavelength = 100 m

Using the above formula ,

Frequency = [tex]\frac{2500}{100} = 25 Hz[/tex]

Answer: a. Stall AOA increases, CL max increases.

Explanation:

Deploying slats or slots on an airfoil affect CL max and Stall AOA by increasing Stall AOA and also increasing CL max.

It should be noted that the coefficient of lift CL would rise through the use of slots due to increase in boundary later energy. The slots also leads to delay of stall by through increase in AOA.

Answer:

It depends on how you use the spoon...

if you are keeping one end of the spoon and pressing other end, the force you provide is supported by the force due to gravity... Hence it is easy to open this way :)

F + G ... Where F is the force you provide and G is the force due to gravity.

Answer:

44 years

Explanation:

Use half life equation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is time,

and T is the half life.

0.25 A₀ = A₀ (½)^(t / 22)

0.25 = (½)^(t / 22)

t / 22 = 2

t = 44

44 sec is half life of a given sample of radium is 22 years the sample will reduce to 25% of its original value.

The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. A given radioactive isotope's half-life is constant; it is unaffected by external factors and independent of the isotope's starting concentration.

Use half life equation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is time,

and T is the half life.

0.25 A₀ = A₀ (½)^(t / 22)

0.25 = (½)^(t / 22)

t / 22 = 2

t = 44 sec

44 sec is half life of a given sample of radium is 22 years the sample will reduce to 25% of its original value.

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Answer:

The 2009 inflation rate was -0.36%. The current year-over-year inflation rate (2019 to 2020) is now 0.99%

Explanation:

Answer:

Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.

This one is actually right!

Answer:

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Explanation:

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

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.

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

Newtons third law of motion states that if a force is exerted on an object, another force occurs that is equal in side an opposite in direction.

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Answer:

True

Explanation:

A psychological construct can't be observed and you can feel this,

Example: anxiety, anger, sadness

Answer:

Explanation:

Let the internal resistance be r .

Since in open circuit the volt is 1.55 V , this will be the source voltage .

Source voltage = 1.55

If external resistance be R .

1.55 / (R + r ) = .500

R + r = 3.1 ohm

So sum of internal resistance and external resistance will be 3.1 ohm.

Answer:

The work to be done is 638,761.12 J

Explanation:

Given;

mass of the car, m = 1150 kg

velocity of the car, v = 120 km/h = 33.33 m/s

Apply work energy theorem;

W = K.E

where;

W is the work done

K.E is the kinetic energy

W = ¹/₂mv²

W =  ¹/₂ (1150)(33.33)²

W = 638,761.12 J

Therefore, the work to be done is 638,761.12 J

Answer:

Explanation:

step one:

simply put average speed is defined as the total distance travelled divided by the total time taken.

step two:

given data

total distance is the distance from where she started to the store

which is 100 m

also, we are told that the total time taken is 250 seconds

step three:

Hence we can compute the average speed as

average speed= 100/250

average speed= 0.4 m/s  

Answer:

n = 2.25 x 10¹⁴ electrons/s

Explanation:

The amount of electric current is defined as the electric charge passing through an area per unit time. Hence:

I = q/t

where,

I = Current

q = amount of charge

t = time interval

but,

q = ne

therefore,

I = ne/t

where,

n = no. of electrons

e = charge on single electron = 1.6 x 10⁻¹⁹ C

t = 1 s (for electrons passing per second)

I = Current = 36 μA = 3.6 x 10⁻⁵ A

Therefore,

3.6 x 10⁻⁵ A = n(1.6 x 10⁻¹⁹ C)/1 s

n = (3.6 x 10⁻⁵ A)/(1.6 x 10⁻¹⁹ C)

n = 2.25 x 10¹⁴ electrons/s

Answer:

inertia

Explanation:

The correct answer is B. Electrons emit and absorb energy based on their position around the nucleus.

Explanation:

In general, an atom's emission of photons (light) is the result of electrons, which are the negative charge particles that orbit the nucleus. Moreover, the emission of light is likely to occur if the electron is located at a specific energy level (position in the atom) and it moves to a lower level as this requires the loss of energy in the form of photons. Also, the electron can absorb the photons and as a result gain enough energy to move to a higher level. This implies the atom's emissions of light shows the relationship between electrons emitting and absorbing energy and their position or energy level.

Answer:

The correct answer is B. Electrons emit and absorb energy based on their position around the nucleus.

On edge :)

Explanation:

Answer:

a gene is the basic physical and functional unit of heredity.

Genes are section of DNA that code for a particular trait. Genes are basic unit of inheritance in all living things specifying the physical and biological traits.

The precise meaning of the term "gene" has long been a topic of discussion in science. Here's an easy way to think about it: Our cells and tissues are built with proteins as the foundation. And genes are the area of our genome where the instructions for constructing those proteins are stored.

For instance, the human genome has over 20,000 genes that code for proteins. It's interesting to note that just 1.5% of the complete human genome contains all of the information for those 20,000 protein-coding genes.

A broader definition of a gene includes DNA sequences, sometimes called RNA genes, that include instructions for building an RNA molecule that performs a function other than directly encoding a protein.

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Answer: true

Explanation: a force can be anything that effects an object, as long as the object moves