A parallel circuit contains four identical lamps. The current through the energy source is 4 A. The total resistance of the circuit is 10 Ω. What is the voltage across the energy source and across each lamp?
a)2.5 V; 40 V
b)40 V; 40 V
c)2.5 V; 2.5 V
d)40 V; 2.5 V

Answers

Answer 1

Answer:

b. 40V , 40V

Explanation:

Connections are as per the figure.

As total current through source is 4A , current through each lamp is 1A.

As total resistance of the circuit is 10Ω ,resistance of each bulb is 40Ω because in case of a parallel circuit in which identical objects are connected , [tex]R_{eff} = \frac{R}{n}[/tex] where R is the resistance of each bulb and n is the number of bulbs.

As per Ohm's law , voltage of the source =IR = 4×10 =40V.

We can see from the figure that if the voltage across the source is 40V , the voltage across each bulb is also 40V.

 A Parallel Circuit Contains Four Identical Lamps. The Current Through The Energy Source Is 4 A. The

Related Questions

State law of floatation

Answers

The law of floatation states that, a floating body displaces its own weight of the fluid in which it floats.

this is the process of organisms adapting to he environment overtime

Answers

Natural selection is the process of organisms adapting to their environments over time.

Explanation:

Natural selection refers the process to various survival and multiplication of organisms due to environmental properties. For example peacock, pepper moth, etc. These lead to evolutionary changes in which individual with specific traits has higher survival or reproduction than individuals in other populations and passes on these hereditary genetic traits to their offspring.

A process in which organisms are well suited to the surroundings than others generate more offspring. Due to this process, the percentage of organisms that adapt to the environment is increasing with each generation.

What is the law of conservation of Machanical energy?

Answers

Law of Conservation of Mechanical Energy: The total amount of mechanical energy, in a closed system in the absence of dissipative forces (e.g. friction, air resistance), remains constant. This means that potential energy can become kinetic energy, or vice versa, but energy cannot “disappear”.

Final answer:

The law of conservation of mechanical energy states that the total mechanical energy (kinetic plus potential) in a closed system subjected to conservative forces remains constant, assuming no energy is lost via non-conservative forces like friction.

Explanation:

Law of Conservation of Mechanical Energy

The law of conservation of mechanical energy states that in a closed system where only conservative forces are acting, and in the absence of non-conservative forces such as friction or air resistance, the total mechanical energy of the system remains constant. Mechanical energy is the sum of the object's kinetic energy (energy due to motion) and potential energy (energy stored due to position). This implies that any loss in potential energy will result in an equal increase in kinetic energy, and vice versa, hence keeping the total energy unchanged.

As an example, consider a roller coaster. At the highest point, the car has maximum potential energy and minimum kinetic energy. As the car descends, potential energy decreases while kinetic energy increases. If we assume no energy loss to friction, the sum of potential and kinetic energies at any point will equal the total mechanical energy at the top of the first rise, illustrating the conservation of mechanical energy.

In mathematical terms, the law can be expressed as K + U = constant, where K represents kinetic energy and U represents potential energy. This conservation is also a consequence of the work-energy theorem when applied to conservative forces, leading to the understanding that the net work done is equal to the change in kinetic energy of the system.

What is the distance between the earth and the sun?

Answers

Answer:

an average of 92,955,807 miles

Explanation:

Answer:

149,600,000 kilometers (km) or 92,900,000 miles.

First I should say that the Earth's orbit around the Sun is elliptical, not perfectly circular, so the Earth-Sun distance is changing as we speak just from the Earth traveling in its orbit around the Sun. There are some long-period oscillations, but those are very small, and don't imply that we're systematically moving towards or away from the Sun.

I hope this answer helps you :)

A rubbit gets down from a rump which its /\x=0.85m in 0.5s, The rubbit's mass is 2kg, what is the net Force?

Answers

Answer: 13.6 N

Explanation:

The equation of motion for the rabbit is:

[tex]\Delta x=V_{ox}t+\frac{1}{2}a_{x}t^{2}[/tex] (1)

Where:

[tex]\Delta x=0.85 m[/tex] is the distance traveled by the rabbit

[tex]V_{ox}=0 m/s[/tex] is the rabbit's initial velocity, assuming it started from rest

[tex]t=0.5 s[/tex] is the time

[tex]a_{x}[/tex] is the acceleration

Isolating [tex]a_{x}[/tex]:

[tex]a_{x}=\frac{2 \Delta x}{t^{2}}[/tex] (2)

[tex]a_{x}=\frac{2 (0.85 m)}{(0.5)^{2}}[/tex] (3)

[tex]a_{x}=6.8 m/s^{2}[/tex] (4)

On the other hand, the force [tex]F_{x}[/tex] is given by:

[tex]F_{x}=m.a_{x}[/tex] (5)

Where [tex]m=2 kg[/tex] is the mass of the rabbit

Substituting (4) in (5):

[tex]F_{x}=(2 kg)(6.8 m/s^{2})[/tex] (6)

Finally:

[tex]F_{x}=13.6 N[/tex]

An object with a mass of 20 kg has a net force of 80 N acting on it. What is the acceleration of the object?

Answers

Answer:

4 m/s²

Explanation:

The formula used here:

F = ma

F is force (80 N)

m is mass (20 kg)

a is acceleration

Since we need to calculate acceleration we will arrange the formula:

a = F ÷ m

Now substitute the values and solve

a = 80 ÷ 20

a = 4

The proper unit for this acceleration is m/s²

So the object accelerates at 4 m/s²

Answer:

4 m/s^2

Explanation:

F = ma

80N = (20kg)a

80N/(20kg) = (20kg)a/(20kg)

4 m/s^2 = a


2) If two locations have the same latitude and are on a coast, what factor determines the air temperature

Answers

Ocean Currents is the factor that determines the air temperature in coastal regions having same latitude.

Explanation:

There are factors that use to determine air temperature. They are latitude, altitude, region, water current, etc and it is based on the combination of water, air, and land.

If two coastal regions situated in the same latitude means they are not in the same region. Another city can be in the same latitude but in longitude. All the coastal regions don't have the same air temperature.

The air temperature in coastal regions can measured by the Ocean Current. A hypothesis of using cold water and warm water use to determine the air temperature.

a 75 kilogram boy initally at rest skis down the slope as shown assuming no frictional loss what will be his kinetic energy at the bottom of the slope

Answers

Answer:

The kinetic energy at bottom, K.E = 73500 J

Explanation:

Given data,

The mass of the boy, m = 75 kg

Let the height of the hill be, h = 100 m

The P.E is maximum at the top of the hill. Since the boy is at rest at the top of the hill, his K.E is zero.

When he reaches the bottom, his K.E is maximum and P.E is zero.

According to the law of conservation of energy, K.E at the bottom is equal to the P.E at top.

                          P.E = mgh

                                = 75 x 9.8 x 100

                                = 73500 J

Hence, the kinetic energy at bottom, K.E = 73500 J

a 40.0 kilogram child exerts a 100 newton force on a 50.0 kilogram object the magnitude of the force that the object exerts on the child is?
A) 0.0N
B) 80.0N
C) 100N
D) 125N

Answers

Answer:

The answer is choice C.

Explanation:

According to Newtons third law of motion, the force that object exerts on the child is equal and opposite to the force that the child exerts on the object:

[tex]F_{child}=-F_{object}[/tex]

Thus if the child exerts a force of 100 newtons on the object, the object must also exert a force of 100 newtons on the child but in the opposite direction.

The magnitude of the force the object exerts on the child is 100 N.

The given parameters;

mass of the child, m = 40 kgforce exerted by the child, F = 100 Nmass of the object = 50 kg

According to Newton's third law of motion, for every action there is an equal and opposite reaction.

The magnitude of the force the child exerted on the object is equal to the force the object exerted on the child.The direction of these forces are opposite.

Thus, the magnitude of the force the object exerts on the child is 100 N.

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A 10kg rocket is traveling at 80 m/s when the booster engine applies a constant forward force of 60 N for 3.0 seconds. What impulse
does the booster engine supply? What is the resulting velocity of the rocket?

Answers

Answer:

Impulse = 90

Resulting Velocity = 89

Explanation:

Use F * change in time = m * change in velocity.

For the first part of the question, the left side of the equation is the impulse. Plug it in.

60 * (3.0 - 0) = 90.

For the second half. we use all parts of the equation. I'm gonna use vf for the final velocity.

60 * (3.0 - 0) = 10 * (vf - 80). Simplify.

90 = 10vf - 800. Simplify again.

890 = 10vf. Divide to simplify and get the answer.

The resulting velocity is 89.

The impulse supplied by the booster engine is 180 Ns and the resulting velocity of the 10kg rocket is 98 m/s.

The question involves calculating the impulse delivered by the booster engine of a rocket and its resulting velocity. The impulse is obtained through the relationship Impulse = Force × Time. By applying a constant forward force of 60 N for 3.0 seconds, the impulse can be calculated as:

Impulse = 60 N × 3.0 s = 180 Ns (Newton-seconds)

To find the resulting velocity of the rocket, we use the impulse-momentum theorem which states that the impulse applied to an object is equal to the change in momentum of the object. Since the rocket's mass is constant, the change in momentum can also be expressed as the mass of the rocket times the change in velocity (Impulse = Change in momentum = Mass × Change in velocity). Therefore:

Change in velocity = Impulse / Mass

Change in velocity = 180 Ns / 10 kg = 18 m/s

The initial velocity of the rocket is 80 m/s, so the final velocity of the rocket after the impulse will be:

Final velocity = Initial velocity + Change in velocity = 80 m/s + 18 m/s = 98 m/s

What force causes the periodic motion of a pendulum?
O
A. Gravity
O
O
O
B. Elastic force
C. Nuclear force
D. Electric force

Answers

Answer:

the Answer is A

Explanation:

because the swinging motion of a pendulum is due to the force of gravity generated by the earth's size

the answer of this question is option A because,

Pendulum. If you swing a weight on a string, it will go back and forth in regularperiodic motion. ... The force of gravitycauses the pendulum bob to change directions, while the force from the string moves it in a semi-circular motion

A wave with a period of three seconds travels at a speed of 12 m/s what is the wavelength of the wave

Answers

Answer:

λ = 0.28m

Explanation:

Equation used is v = λf, where v is velocity, λ is wavelength, and f is frequency

We need to find wavelength so rearrange the equation in term of wavelength.

v = λf

λ = f/v

We know that period is the inverse of frequency (f = 1/T), so lets substitute that into our equation

λ = f/v

λ = (1/T)/v

Plug in your the given values given in the question.

We're given v=12m/s and T=3sec

λ = (1/T)/v

λ = (1/3)/12

λ = 1/36 = 0.2777777 = 0.28m

Final answer:

The wavelength of a wave with a 3-second period traveling at 12 m/s is 36 meters.

Explanation:

To find the wavelength of a wave, you can use the formula:
wavelength = wave speed x period. In this case, the period of the wave (T) is 3 seconds and the wave speed (v) is 12 m/s.

wavelength = 12 m/s  x  3 s = 36 meters.

Therefore, the wavelength of the wave is 36 meters.

There are four springs stretched by the same mass.
Spring A: 25 cm
Spring B: 10 cm
Spring C: 100 cm
Spring D: 1 cm
Which spring is the strongest?
A
B
C
D

Answers

Answer:

That would be Spring C

Explanation:

i took the test :P

Answer:

The answer is C please give me brainliest

Explanation:

All leukocytes fight off infections by using phagocytosis.
A.
True
B.
False

Answers

the question is correct

What is AC concerning electricity?

Answers

Answer:

Alternating current

Explanation:

The electrical current periodically changes direction.

Answer:

alternating current

Explanation:

A stands for alternating

C stands for current

the current which changes direction ( several times per second ) is known as AC or alternating current

Which of the following describes the measure of current

Answers

Answer:

b. The rate at which charge flows

Explanation:

First we must complete the question:

Which of the following describes the measure of current:

a. The quality of the charge flow

b.The rate at which charge flows

c. The ability for something to have a charge flow

d.The potential for a charge to flow

The answer is b) The rate at which charge flows

The electric current is the electric charge flow that passes through a conductive material for a certain period of time. It is expressed in C / s, culombios per second in the international system of units, and the unit is known as Ampere (a)

The charge can be defined by culombio [C]

how do you relate between magnetic field from current carrying wires with the force felt by a current carrying wire?​

Answers

Answer:

"The magnetic field exert the force on current carrying wire in the direction of the individual charge particles moving."

Explanation:

The magnetic field that exert force in the current carrying wire in the same direction in which the charge particles moving came from the Right hand rule. The force are very higher that are sufficient to move the wire, hence, current particles have large number or moving particles in it. The wires through which current is flowing attract each other even in same direction because of the right hand rule only and also the formation of the magnetic field around the wire. The lines of force are the magnetic field.

an electromagnetic wave has a frequency of 6.0 x 10^18 Hz. What is the wavelength of the wave?

Answers

Answer:

500 nm

Explanation:

[tex]\lambda = c/\nu = \frac{3*10^8}{6*10^{18}} = 5*10^{-11}[/tex] m

Answer:

5*10^-11

Explanation:

From alvs

explain why when someone uses his thumb to push a pin into a block of wood the pressure on the wood is greater than the pressure on this thumb​

Answers

Because the tip of the pin has a very small area, therefore greater pressure. the area of the pin pressing on the thumb is much greater.

When someone uses his thumb to push a pin into a block of wood the pressure on the wood is greater than the pressure on this thumb​ because the area of the pin on the thumb side is larger than the area of the pin on the wood side

What is pressure?

The total applied force per unit of area is known as the pressure.

The pressure depends both on externally applied force as well the area on which it is applied.

The mathematical expression for the pressure

Pressure = Force /Area

the pressure is expressed by the unit pascal or N /m²

Since, the area of the pin on the thumb side is larger than the area of the pin on the wood side, when someone uses his thumb to push a pin into a block of wood, the pressure on the wood is greater than the pressure on this thumb.

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please help me i don't get it

Answers

Answer:

39)

a) distance traveled = 1 mile

b) displacement = 0 mile

40)  - 4 (m/s)

41-) distance traveled = 5 [m]

displacement = 3.6 [m]

Explanation:

The distance differs from the displacement, the distance traveled is equal to the sum of all displacements made by the particle or object.

Displacement is the difference between the initial point and the final point where the object or particle was stopped.

Then we can use the equation given:

[tex]a=\frac{(v_{f} - v_{i} )}{t} \\where:\\v_{f}=16[m/s]\\v_{i}=2[m/s]\\t=3.5[s]\\a=\frac{(2-16)}{3.5}\\ a=-4[m/s][/tex]

The minus sign means the particle is slowing down.

For the 41) we can see the attached image.

In the graph we can see that the particle moves north 3 miles, so that the first distance is 3 miles, then moves 2 miles east being the second distance of 2 miles. Thus the sum of the distances is 3 + 2 = 5 miles.

Displacement is the difference between the endpoint and the initial point since the form of displacement is a straight line, we can use the formula of the straight line or the theorem of Pythagoras.

[tex]d=\sqrt{(2-0)^{2}+(3-0)^{2}  }\\d=3.6 [mi][/tex]

The force of attraction between the opposite charges of the ions in an ionic compound

Answers

The force of attraction between the opposite charges of the ions in an ionic compound is an ionic bond.

Explanation:

The transfer process of valence electron between atoms referred as ionic bond. This is a kind of chemical bonds which can create two oppositely charged ions. In the presence of ionic bonds, the metal loses electrons and becomes a positive charge cation, while non-metal accepts these electrons and becomes a negative charge anion.

Here, more than 1 electron can be emitted or received to meet the octet principle and the net charge of the compound should be zero. For example: Table salt. In this compound, sodium loses the electron to become [tex]N a^{+}[/tex], while the chlorine loses the electron to become [tex]c l^{-}[/tex].

Final answer:

The force of attraction between opposite charges of ions in an ionic compound is caused by electrostatic forces, forming what is known as an ionic bond. This creates stability in the compound and the strength of this attraction is measured by the lattice energy. While ionic compounds are generally poor electrical conductors in their solid state, they can become excellent conductors when dissolved or melted.

Explanation:

The force of attraction between the opposite charges of the ions in an ionic compound, often referred to as an ionic bond, is a result of electrostatic forces. For instance, in sodium chloride or table salt, positively charged sodium ions bond with negatively charged chloride ions, forming a crystalline molecule with exception of any net charge. That's because of the attraction between the oppositely charged ions which keeps them in close proximity.

An ionic compound is stable due to this electrostatic attraction between its positive and negative ions. An important concept in this context is lattice energy: it's the energy required to separate a mole of a solid ionic compound into its gaseous ions, and is essentially a measure of the strength of the ionic bonds in the compound.

Ionic compounds, or salts, tend to be rigid and brittle, having high melting and boiling points - all indications of the strength of ionic bonds. They are poor conductors of electricity in solid state as the strength of these bonds prevents ions from moving freely, however, once dissolved or melted, ionic compounds turn into excellent conductors because the ions can now move freely.

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Hi please help me with this question. ..
A man throws a stone upwards with a 'u' velocity and after spending ' t' seconds  watching the motion of the stone he once again projects another stone upwards hoping that that these 2 stones should  meet eachother.  If his assumption is correct and these two stones collide with eachother,  show that the 2 stones should meet each other 't/2 + u/g 'seconds later from the time of the first projection. ​

Answers

Explanation:

For projectile motion, use constant acceleration equation:

Δx = v₀ t + ½ at²

where Δx is the displacement,

v₀ is the initial velocity,

a is the acceleration,

and t is time.

Both objects are projected upward with velocity u.  The second object is thrown after a time t₀.

For the first object:

Δx = u t + ½ (-g) t²

Δx = u t − ½g t²

For the second object:

Δx = u (t−t₀) + ½ (-g) (t−t₀)²

Δx = u (t−t₀) − ½g (t−t₀)²

Assuming the objects meet, the displacements will be equal:

u t − ½g t² = u (t−t₀) − ½g (t−t₀)²

u t − ½g t² = u (t−t₀) − ½g (t² − 2tt₀ + t₀²)

u t − ½g t² = u t − u t₀ − ½g t² + g tt₀ − ½g t₀²

0 = -u t₀ + g tt₀ − ½g t₀²

0 = -u + g t − ½g t₀

g t = u + ½g t₀

t = u/g + t₀/2

The moon is not seen at all on the new moon.why???​

Answers

The moon is not seen at all on the new moon because:

The moon itself doesn't make a light, it reflects sunlight. At the point when the moon lies between the Earth and the Sun, it is just the posterior of the moon that is light by the Sun. In this circumstance, the side of the moon confronting the Earth can't mirror any light whatsoever and seems dull.  

The distinction between another moon and a sunlight based over-shadowing is during a sun oriented obscuration, the moon is actually in the position to completely obstruct the sun during the day.

If revenue is $3,000 and operating expenses are $4,000, cash flow equals _____. -$1,000 $1,000 -$7,000 $7,000

Answers

Answer:

-$1,000

Explanation:

$3000 - $4000

Answer:

-1000

3000-4000=-1000

Different color ca
ferent color candy canes are tested to see
one type dissolves faster. What is the
independent variable?​

Answers

Answer: The color of candy cane

Explanation:

An independent variable is the Variable that the scientist changed in order to change the dependent variable. The scientist changes the color of the candy cane to test the rate at which they dissolve.

Final answer:

The independent variable in this experiment is the color of the candy canes, while the dependent variable is the rate of dissolution. The student is testing different colors to see if they affect the dissolution rate.

Explanation:

The independent variable in this experiment is the different color of candy canes. The dependent variable is the rate at which each type of candy cane dissolves. By testing different colored candy canes, the student is investigating if there is a difference in the dissolution rate based on color.

Two persons A and B do same amount of work. The person A does that work in t1sec and the person b in t2sec. Find the ratio of power delivered by them.

Answers

The ratio between power of A and power of B is 2

Explanation:

In physics, power is defined as the ratio between the work done and the time taken to do the work:

[tex]P=\frac{W}{t}[/tex]

where

P is the work done

t is the time taken

In this problem, we have:

Person A and person B do the same amount of work --> let's call this work W

Person A does this work in a time of [tex]t_A = 1 s[/tex], so the power delivered by A is

[tex]P_A = \frac{W}{1}=W[/tex]

Person B does this work in a time of [tex]t_B = 2 s[/tex], so the power delivered by B is

[tex]P_B = \frac{W}{2}[/tex]

So, the ratio of the powers delivered by the two persons is

[tex]\frac{P_A}{P_B}=\frac{W}{W/2}=2[/tex]

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A coil of wire, a battery, a few paper clips, and a thermometer are on a table of supplies
What other material or materials would be needed for a student to construct a basic electric motor?
A)A magnet
B)Some tape
C)An electric generator
D)Alligator clips and a plastic cup

Answers

The other material would be needed for a student to construct a basic electric motor is a magnet.

Answer: Option A

Explanation:

For constructing fundamental electric motors coils of wire, the battery, few paper clips, a thermometer, and a magnet are mandatory. The principle on which it works is when in magnetic field rectangular coil placed and current passes than force will act on it and rotate it continuously to convert electrical energy into mechanical energy.

Here magnet is compulsory to generate motion when two bar magnets placed against the north and south pole of each other than attractive force but if placed in a similar direction than repulsive force occur. Therefore, these attractive and opposing forces generate rotational motion.

Answer:

The answer is A

Explanation:This is the answer

A diesel engine has an input temperature of 300K and an efficiency of 33.3%. Calculate the exhaust temperature. Tc = K

Answers

The exhaust temperature is 200 K

Explanation:

The maximum efficiency of a machine is given by the equation:

[tex]\eta=1-\frac{T_C}{T_H}[/tex]

where:

[tex]T_H[/tex] is the temperature of the hot reservoir

[tex]T_C[/tex] is the temperature of the cold reservoir

For the engine in this problem, we have:

[tex]\eta = 0.333[/tex] (efficiency is 33.3%)

[tex]T_H=300K[/tex] is the temperature of the hot reservoir

Re-arranging the equation for [tex]T_C[/tex], we can find the exhaust temperature (the temperature of the cold reservoir):

[tex]T_C=T_H(1-\eta)=(300)(1-0.333)=200 K[/tex]

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Answer:

200k

Explanation:

20. A photographer takes an average of 15 pictures per session. The total
number of pictures pes) is a function of the number of sessions
a. Identify the independent and dependent variables.
b. What values of the domain and range make sense for this situation?
Explain.
c. Write a function to represent the total number of pictures taken. Then
determine the number of pictures taken in 22 sessions.​

Answers

Answer:

A)

Independent variable -> number of sessionsDependent variable -> number of pictures

B)

Values of the domain that make sense would be those from 0 on because there are no negative number of sessions; values of range that make sense would be also those from 0 on because there are no negative number of pictures.

C)

[tex]f(x)=15x[/tex], where "x" is the number of sessions.

If we have 22 session then:

[tex]f(22)=15*22[/tex]; f(22)=[tex]f(22)=330[/tex]

Explanation:

The position of an object along the x-axis is described by the formula x = 3t 2 − 2t. Which of the following are the correct formulas for the velocity and acceleration of the object?

Answers

Answer:

the formulas of velocity and acceleration can be given as:

Velocity : [tex]x'=6t-2[/tex]

Acceleration :[tex]x"=6[/tex]

Explanation:

Given:

The position function or formula for an object along x-axis is given by:

[tex]x=3t^2-2t[/tex]

To find the velocity and acceleration formulas.

Solution.

Velocity of an object is defined as rate of change of position of an object.

The rate of change can be found out by taking derivative of the position function of the object.

Thus the velocity formula can be written as:

[tex]x'=\frac{d}{dt}3t^2-\frac{d}{dt}2t[/tex]

[tex]x'=6t-2[/tex]       [ As [tex]\frac{d}{da}a^n= na^{(n-1)}[/tex] and [tex]\frac{d}{da}na=n[/tex] ]

So, the velocity can be represented as  [tex]x'=6t-2[/tex]  

Acceleration of an object is defined as rate of change of velocity. In order to find rate of change of velocity, we will take derivative of the velocity function.

Thus the acceleration formula can be given as :

[tex]x''=\frac{d}{dt}6t-\frac{d}{dt}2[/tex]

[tex]x''=6[/tex]    [ As [tex]\frac{d}{da}na=n[/tex] and [tex]\frac{d}{da}n=0[/tex] ]

So, the acceleration can be represented as  [tex]x''=6[/tex]  

The correct answer for the velocity and acceleration of the object described by the position formula x = 3t² - 2t are v = 6t-2 and a = 6. The correct option is d.

The correct formulas for the velocity and acceleration of the object described by the position formula x = 3t² - 2t are: v=6t-2 ; a=6

To find the velocity, we take the first derivative of the position equation with respect to time. The velocity is the derivative of position, so we differentiate x = 3t² - 2t to get v = 6t - 2. To find the acceleration, we take the second derivative of the position equation with respect to time. The acceleration is the derivative of velocity, so we differentiate v = 6t - 2 to get a = 6.

Complete Question:

content loaded

The position of an object along the x-axis is described by the formula x = 3t² - 2t. Which of the following are the correct formulas for the velocity and acceleration of the object?

a. [tex]$v=2 t^3-t, a=2 t-3$[/tex]

b. [tex]$v=6 t^2-4, a=12 t$[/tex]

c. [tex]$v=(1 / 2) t^3-2 t, a=(5 / 2) t^4-(2 / 3) t^2$[/tex]

d. v=6t-2, a=6

Other Questions
A 1000 kg satellite and a 2000 kg satellite follow exactly the same orbit around the earth. What is the ratio F1/F2 of the gravitational force on the first satellite to that on the second satellite? What is the ratio a1/a2 of the acceleration of the first satellite to that of the second satellite? ethanol is used as fuel for cars. Explain how energy is obtained from ethanol to fuel a car. How much of a 100 g sample of radon-222 will remain unchanged after 7.64days? Use matrices to determine the vertices of the reflected figure. Then graph the image and the pre-image on the same coordinate grid. Triangle XYZ with vertices X(2, -9), Y(-6, 0) and Z(-5, -5), reflected over the y-axis.A.B.C.D. (pictures below) Which field of economics deals primarily with the problems faced by low-income countries? The wade Davis bill increased the power of? Chronicle of St. Denis:___________________________________. The Muslims planned to go to Tours to destroy the Church of St. Martin, the city, and the whole country. Then came against them the glorious Prince Charles, at the head of his whole force. He drew up his host, and he fought as fiercely as the hungry wolf falls upon the stag. By the grace of Our Lord, he wrought a great slaughter upon the enemies of Christian faith, so that---as history bears witness---he slew in that battle 300,000 men, likewise their king by name Abderrahman. Then was he [Charles] first called "Martel," for as a hammer of iron, of steel, and of every other metal, even so he dashed: and smote in the battle all his enemies. And what was the greatest marvel of all, he only lost in that battle 1500 men. The tents and harness [of the enemy] were taken; and whatever else they possessed became a prey to him and his followers. Eudes, Duke of Aquitaine, being now reconciled with Prince Charles Martel, later slew as many of the Saracens as he could find who had escaped from the battle. Public Domain. What does this excerpt reveal about the way Europeans understood the victory of Charles Martel in France? A.) The Europeans understood that this victory only guaranteed a short reprieve from the aggressive attacks by the Moors.B.) The Europeans understood that this victory would require another Crusade to make the success permanent.C.) The Europeans understood that this victory was a Christian victory against the Muslim invaders.D.) The Europeans understood that this victory demonstrated that the Duke of Aquitaine was a Christian. Goods a company acquires to use in making products are called: Select one: a. Cost of goods sold. b. Raw materials inventory. c. Finished goods inventory. d. Work in Process inventory. e. Conversion costs. These type of powers are held by both the national and state levels ofgovernment.1.Concurrent2.Enumerated3.Reserved 1. Which correctly identifies a part of the atomshown in the figure above? SC.8.P.8.7A T: electronB T: nucleusC U: electronD U: proton "Mandatory Military Service in America:" How many arguments does each author include in the excerpt?a) The author of Point focuses on 2 main arguments; the author of Counterpoint focuses on 1 main argument. b) The author of Point focuses on 4 main arguments; the author of Counterpoint focuses on 3 main arguments. c) The author of Point focuses on 3 main arguments; the author of Counterpoint focuses on 4 main arguments. d) The author of Point focuses on 1 main argument; the author of Counterpoint focuses on 2 main arguments. A competitive car wash currently hires 4 workers, who together can wash 80 cars per day. The market price of car washes is $5 per wash, and the price of workers is $60 per day. The car wash should hire a fifth worker if it would increase total production to at least:______ a. 92 cars per day. b. 100 cars per day. c. 104 cars per day. d. 110 cars per day. Pell Company acquires 80% of Demers Company for $500,000 on January 1, 2019. Demers reported common stock of $300,000 and retained earnings of $210,000 on that date. Equipment was undervalued by $30,000 and buildings were undervalued by $40,000, each having a 10-year remaining life. Any excess consideration transferred over fair value was attributed to goodwill with an indefinite life. Based on an annual review, goodwill has not been impaired.Demers earns income and pays dividends as follows: 2019 2020 2021Net income $ 100,000 $ 120,000 $ 130,000 Dividends 40,000 50,000 60,000 Assume the partial equity method is applied.1. How much does Pell record as Income from Demers for the year ended December 31, 2019?Multiple Choicea. $80,000.b. $74,400.c. $73,000.d. $42,400.e. $41,000.2. How much does Pell record as income from Demers for the year ended December 31, 2020?Multiple Choicea. $90,400.b. $89,000.c. $50,400.d. $96,000.e. $56,000.3. How much does Pell record as income from Demers for the year ended December 31, 2021?Multiple Choicea. $98,400.b. $56,000.c. $104,000.d. $97,000.e. $50,400.4. Compute the noncontrolling interest in the net income of Demers at December 31, 2019.Multiple Choicea. $20,000.b. $12,000.c. $18,600.d. $10,600.e. $14,400. In the long run a company that produces and sells candy bars incurs total costs of $1,200 when output is 2,400 candy bars and $1,400 when output is 2,900 candy bars. The candy bar company exhibitsa. diseconomies of scale because total cost is rising as output rises.b. diseconomies of scale because average total cost is rising as output rises.c. economies of scale because total cost is rising as output rises.d. economies of scale because average total cost is falling as output rises. A researcher determines that2 = 3.76to test for significance for a phi correlation coefficient. What was the decision for this phi correlation test?a) Retain the null hypothesis.b) Reject the null hypothesis c) There is not enough information to answer this question. As a consumer consumes more and more of a product in a particular time period, eventually marginal utility ___________. Flagstaff Company has budgeted production units of 9,800 for July and 10,000 for August. The direct materials requirement per unit is 3 ounces (oz.). The company has determined that it wants to have safety stock of direct materials on hand at the end of each month to complete 25% of the units of budgeted production in the following month. There was 7,350 ounces of direct material in inventory at the start of July. The total cost of direct materials purchases for the July direct materials budget, assuming the materials cost $1.20 per ounce, is: Mervon Company has two operating departments: mixing and bottling. Mixing has 300 employees and occupies 23,485 square feet. Bottling has 200 employees and occupies 19,215 square feet. Indirect factory costs for the current period follow: administrative, $220,000; and maintenance, $208,000.If the maintenance costs are allocated to operating departments based on square footage, determine the amount of maintenance costs allocated to each operating department. In paragraph 4, the author supports her argument byA)quoting experts on her topic.B)referring to other people's opinions about the topic.giving factual details about college acceptance rates.D)telling a personal anecdote about her experiencewith college In the scientific name, Pan paniscus, Pan represents the name of the ____ while paniscus represents the name of the ____. Steam Workshop Downloader