The time elapsed while the motorcycle moves the distance is 4.8sec.
Given quantities are,
Initial velocity=34.9 ft/sfinal velocity=45.8 ft/sdistance travelled by motorcycle=194 ftSince the acceleration of motorcycle is constant, we can apply two of the three equations of motion for uniform acceleration here.
\(v=u+a*t\) -first eq of motion under uniform acceleration.\(v^{2} =u^{2} +2as\) -third eq of motion under uniform acceleration.Substituting the given values in third eq of motion, we get
⇒\((45.8)^{2} =(34.9)^{2} +2*194*a\)
this gives, acceleration, a=2.267 ft/\(s^{2}\) (...1)
Now by substituting value of acceleration obtained above along with the given data in first eq of motion, we get;
⇒ 45.8=34.9+ 2.26*t
⇒45.8 - 34.9 = 2.26*t
⇒t = 10.9/2.26
⇒t=4.8 sec
Therefore, 4.8 sec have elapsed when the motorcycle has covered distance of 194 ft along with the given set of initial and final velocity.
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At a race car driving event, a staff member notices that the skid marks left by the race car are 9.06 m long. The very experienced staff member knows that the deceleration of a car when skidding is -40.52 m/s2. What can the staff member estimate for the original speed of the race car if it came to a stop during the skid?
Answer:
27.1 m/s
Explanation:
Given that at a race car driving event, a staff member notices that the skid marks left by the race car are 9.06 m long. The very experienced staff member knows that the deceleration of a car when skidding is -40.52 m/s2.
Using third equation of motion,
V^2 = U^2 + 2aS
Since the car is decelerating, the final velocity V = 0
Substitute all the parameter into the equation above,
0 = U^2 - 2 * 40.52 * 9.06
U^2 = 734.22
U = \(\sqrt{734.22}\)
U = 27.096
U = 27.1 m/s approximately
Therefore, the staff member can estimate for the original speed of the race car to be 27.1 m/s if it came to a stop during the skid
g write and explain in detail maxwell equations. include a detailed discussion and derivation of the displacement current.
Maxwell equations are a set of four equations that describe the behavior of electric and magnetic fields. They are named after James Clerk Maxwell, who formulated them in the 19th century.
The equations show how electric and magnetic fields interact with each other and with charges. The equations include Faraday's law of induction, Ampere's law, Gauss's law for electricity, and Gauss's law for magnetism. The displacement current was introduced by Maxwell to explain the behavior of electric fields in changing magnetic fields.
This current was necessary to satisfy Ampere's law, as the traditional current did not account for this behavior. The displacement current is equal to the rate of change of the electric field, thus allowing the total current to satisfy Ampere's law.
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If a ball is dropped off a tall building and accelerates at 9.8 m/s^2 until reaching the ground at a speed of 55 m/s, how long will it take for the ball to reach the ground?
Answer:
5.61s
Explanation:
\(\pink{\frak{Given}}\begin{cases} \textsf{ A ball is dropped off a tall building and accelerates at 9.8 m/s$^2$ .}\\\textsf{It reaches the ground at a speed of 55 m/s .} \end{cases}\)
And we need to find out the time taken by the ball to reach the ground .
The initial velocity of the ball will be 0 since it is dropped .Here we can use the First equation of motion , namely ;
\(\sf \longrightarrow v = u + at \)
where the symbols have their usual meaning . Now substituting the respective values , we have,
\(\sf \longrightarrow 55m/s = 0m/s + 9.8 m/s^2(t)\\ \)
\(\sf \longrightarrow 55m/s = 9.8m/s^2(t)\\ \)
\(\sf \longrightarrow t = \dfrac{55m/s}{9.8m/s^2}\\\)
\(\sf \longrightarrow \boxed{\bf time = 5.61 s }\)
Which way can heat never flow?
Answer:
Cold to hot.
Explanation:
Heat can never flow from cold to hot, heat transfers itself from hot to cold.
What is the equivalent resistance of the circuit?
Answer:
Option D. 5.45 Ω
Explanation:
From the question given above, the following data were obtained:
Resistance 1 (R₁) = 10 Ω
Resistance 2 (R₂) = 20 Ω
Resistance 3 (R₃) = 30 Ω
Voltage (V) = 120 V
Equivalent resistance (R) =?
The equivalent resistance can be obtained as follow:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/10 + 1/20 + 1/30
Find the least common multiple (lcm) of 10, 20 and 30. The result is 60
Divide 60 by each of the denominators and multiply by their numerators respectively. We have:
1/R = (6 + 3 + 2)/60
1/R = 11/60
Invert
R = 60/11
R = 5.45 Ω
Thus, the equivalent resistance in the circuit is 5.45 Ω
In two experiments, a small block (200 g) and a large block (400g) are attached to a spring with a spring constant k = 20 N/m.After the spring is compressed 5 cm the blocks are released. Whichone experiences the largest force and which one the largestacceleration?
Both blocks experience the same largest force (1 N) as they are attached to the same spring with the same compression distance.
However, the small block experiences the largest acceleration (5 m/s²) compared to the large block (2.5 m/s²).
In both experiments, a small block (200 g) and a large block (400 g) are attached to a spring with a spring constant k = 20 N/m. After the spring is compressed 5 cm, the blocks are released. To determine which one experiences the largest force and which one the largest acceleration, we need to calculate the spring force and acceleration for both blocks.
Step 1: Calculate the spring force (F) using Hooke's Law.
F = k * x
where F is the spring force, k is the spring constant, and x is the compression distance.
For both blocks, k = 20 N/m and x = 5 cm = 0.05 m.
F = 20 N/m * 0.05 m
F = 1 N
Step 2: Calculate the acceleration (a) for each block using Newton's second law.
F = m * a
where F is the spring force, m is the mass of the block, and a is the acceleration.
For the small block (200 g = 0.2 kg):
1 N = 0.2 kg * a
a = 1 N / 0.2 kg
a = 5 m/s²
For the large block (400 g = 0.4 kg):
1 N = 0.4 kg * a
a = 1 N / 0.4 kg
a = 2.5 m/s²
In conclusion, both blocks experience the same largest force (1 N) as they are attached to the same spring with the same compression distance. However, the small block experiences the largest acceleration (5 m/s²) compared to the large block (2.5 m/s²).
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what is the equation relating mass and weight is
Answer: The equation relating to mass and weight is Wo = mog
Explanation: Wo = weight of the object in newtons
mo = mass of the object in kilograms
g = acceleration due to gravity (9.81 m/s2 on Earth)
Hope this was helpful
Magmas have a variety of chemical compositions because of all of the following EXCEPT
A. different magmas formed in different locations are isolated and don't mix.
B. the magmas' heat can melt rock from the walls of the magma chamber.
C. they come from a variety of source rocks.
D. the rocks that melt to make magma are composed of many minerals, not all of which melt under the same conditions
A. Different magmas generated in various places are isolated from one another. This assertion is untrue since magmas can interact with one another and mix.
Magma is composed of what?Under the surface of the Earth, molten and semi-molten rock mixtures are known as magma. This mixture typically consists of four components: a base heated liquid substance known as the melt; minerals that the melt crystallized; solid rocks that the melt mixed with from the surrounding constraints; and dissolved gases.What three varieties of magma are there?Moreover, it has trace levels of dissolved gases like sulfur, carbon dioxide, and water vapor. Magma is kept in a fluid state by the tremendous pressure and temperatures under the crust of the Earth. Each of the three fundamental forms of magma—basaltic, andesitic, and rhyolitic—has a unique mineral makeup.learn more about Magmas here
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Making and disposing of synthetic materials affects the amount of natural resources that are available. It also can harm the environment. These problems may not affect us in our lifetime. Who will these problems affect?
Answer:
What I put- This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.
Sample Answer- Problems that arise from the unavailability of natural resources and from environmental hazards will affect the generations that follow us.
Explanation:
Answer:
This will affect animals, the earth, and could affect future generations. Plastic also gets into the oceans causing sea creaters die by eating it.
Explanation:
A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance d across a horizontal surface. The coefficient of kinetic friction is μk.
1a.Find an expression for the bullet's speed vbullet. Express your answer in terms of the variables m, M, μk, d, and appropriate constants.
1b. What is the speed of a 8.0 g bullet that, when fired into a 12 kg stationary wood block, causes the block to slide 4.0 cm across a wood table? Assume that μk=0.20. Express your answer to two significant figures and include the appropriate units.
1a. The bullet's speed (v_bullet) can be expressed as v_bullet = √[((m + M) * g * μk * d * 2) / m].
1b. The speed of a 8.0 g bullet that, when fired into a 12 kg stationary wood block, causes the block to slide 4.0 cm across a wood table is approximately 616 m/s.
1a. We can use the conservation of momentum and the work-energy principle to find an expression for the bullet's speed. The initial momentum of the system is equal to the final momentum of the system:
m*v_bullet = (m + M)*v_final
We can now use the work-energy principle, which states that the work done on the system is equal to the change in its kinetic energy:
W = ΔK = (1/2)(m + M)*v_final² - (1/2)m*v_bullet²
The work done by friction is:
W = -μk * (m + M) * g * d
Substituting the work done by friction into the work-energy equation and solving for v_bullet:
v_bullet = √[((m + M) * g * μk * d * 2) / m]
1b. We can now plug in the given values to find the speed of the 8.0 g bullet:
m = 0.008 kg (converted from grams to kilograms)
M = 12 kg
μk = 0.20
d = 0.04 m (converted from centimeters to meters)
g = 9.81 m/s² (acceleration due to gravity)
v_bullet = √[((0.008 + 12) * 9.81 * 0.20 * 0.04 * 2) / 0.008]
v_bullet ≈ 616 m/s
The speed of the 8.0 g bullet is approximately 616 m/s.
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a balloon filled with helium plus air at atmospheric pressure is designed to support a mass of 102 kg (payload empty balloon). air density is 1.29 kg/m3 , helium plus air density in the balloon is 0.372 kg/m3 , and helium density is 0.179 kg/m3 . ignoring the volume of the payload, find the volume of the balloon. answer in units of m3 .
To calculate the volume of the balloon, we need to use the concept of buoyancy. The buoyant force acting on the balloon is equal to the weight of the air and helium displaced by the balloon. The volume of the balloon is approximately 111.82 m³.
We can assume that the volume of the balloon is the same as the volume of the air and helium it contains.
Let's first calculate the weight of the air and helium in the balloon. The total mass of the system is 102 kg, so the weight is 102 x 9.81 = 1000.62 N. The weight of the air in the balloon is equal to the density of air multiplied by the volume of air in the balloon, which we'll call V. Similarly, the weight of the helium and air mixture in the balloon is equal to the density of the mixture multiplied by V, and the weight of the helium is equal to the density of helium multiplied by V.
So we have:
(1.29 kg/m3) x V + (0.372 kg/m3) x V = (102 kg / 9.81 m/s2)
1.662 kg/m3 x V = 1038.25 N
V = 623.95 m3
Therefore, the volume of the balloon is approximately 623.95 m3.
To find the volume of the balloon, you can use the buoyancy principle. The buoyant force acting on the balloon equals the weight of the displaced air.
Buoyant force = (mass of payload + mass of empty balloon) * g
where g is the acceleration due to gravity (approximately 9.81 m/s²).
The weight of the displaced air equals the difference in density between the air and the helium-air mixture, multiplied by the volume of the balloon:
Buoyant force = (air density - helium-air mixture density) * volume * g
We know the mass of the payload and the empty balloon is 102 kg, and the densities are given. We can now solve for the volume:
(1.29 kg/m³ - 0.372 kg/m³) * volume * 9.81 m/s² = 102 kg * 9.81 m/s²
0.918 kg/m³ * volume * 9.81 m/s² = 1000.62 kg * m/s²
Divide both sides by 0.918 kg/m³ and 9.81 m/s²:
volume = 1000.62 kg * m/s² / (0.918 kg/m³ * 9.81 m/s²)
volume ≈ 111.82 m³
The volume of the balloon is approximately 111.82 m³.
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A motorist wishes to travel 40 kilometers at an average speed of 40 km/h. During the first 20 kilometers, an average speed of 40 km/h is maintained. During the next 10 kilometers. however, the motorist averages only 20 km/h. To drive the remaining 10 kilometers and average 40 km/h, the motorist must drive
a) 60 km/h. b) 80 km/h. c) 90 km/h. d) faster than the speed of light
poste en français s’il vous plaît
Complete this concept map.
Answer:
conduction s convention s radiation
23. As the frequency of a wave increases, the period of the wave
Answer: decreases
Explanation: As frequency increases the period of a wave decreases because they have an inverse relationship. The equation for wave period (T) is the inverse of the frequency (f). So, as frequency increases, the value for period will decrease accordingly.
A 0.15 kg marble sliding to the right at 2.5 m/s on a frictionless surface makes a head-on collision with a 0.25 kg marble moving
to the left at 3.0 m/s. After the collision, the first marble moves to the left at 2.8 m/s. How fast does the second marble move to
the right?
Answer: 0.18 m/s
Explanation:
This is a conservation of momentum problem. Total momentum before the collision must equal the total momentum after the collision.
Momentum = p = mv
let x = velocity of the second marble after the collision
(0.15 kg)(2.5 m/s) + (0.25 kg)(-3.0 m/s) = (0.15 kg)(-2.8 m/s) + (0.25 kg)(x)
-0.375 kg·m/s = -0.42 kg·m/s + (0.25 kg)x
(0.25 kg)x = (0.42 - 0.375) kg·m/s = 0.045 kg·m/s
x = (0.045 kg·m/s) / (0.25 kg) = 0.18 m/s
which would cause a greater change in energy of motion doubling the weight or doubling the speed why
Answer:
Doubling the speed.
E - M v^2
M = W / g energy is proportional to weight
But energy is proportional to v^2
Which of the following statements is true in regards to heat?
The statements true in regards to heat is 3. Heat is a form of energy, can be reflected by a mirror, and cannot pass through a vacuum.
What is heat?Heat is a form of energy. Heat is the transfer of thermal energy from one object to another. Thermal energy is the energy of motion of the particles in an object. Heat can be reflected by a mirror. Heat is a form of electromagnetic radiation, and electromagnetic radiation can be reflected by mirrors.
Heat cannot pass through a vacuum. Heat is a form of electromagnetic radiation, and electromagnetic radiation cannot pass through a vacuum. Heat is not an electromagnetic radiation. It is a form of energy that is transferred from one object to another because of a difference in temperature.
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Complete question:
Which of the following statements are true regarding heat?
(a) Heat is a form of energy
(b) Heat can be reflected by mirror
(c) Heat is an electromagnetic radiation
(d) Heat can pass through vacuum
Select the correct answer from the codes given below :
1. 1, 2 and 3
2. 2, 3 and 4
3. 1, 2 and 4
4. 1, 3 and 4
14.What is the kinetic energy of a 3kg ball that is rolling 2m/s?
James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?
A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through
Answer:
D
Explanation:
this is simple, because when air is removed, means that there is no particles in the jar so vacuum is achieved, and when you can't hear a sound means that the sound couldn't travel through the vacuum. which means that sound cannot travel through vacuum,
as a result, sound requires a medium ( air) travel from one point to another.
hope it helps, if not please report it so that someone else gets to try it
7. Sally's mass on Earth is 50 kg. What is her weight on the moon?
The acceleration due to gravity she experiences on the moon is 1.652
a. 490 N
b. 8.3 kg
c. 50 kg
d. 82.6 N
Answer:
82.6
Explanation:
Question 3
How many miles was the Trail of Tears?
O 1,000
1,200
O 1,500
3,000
Answer:
I think it is 1,200.
Explanation:
In the research I found, It says in a paragraph it is 1,200. I don't know if this is wrong or correct. I hope this helps!!!
Free fall is a form of accelerated motion. what does this mean for a falling object?
Free fall is a type of accelerated motion, which means that a falling object experiences a continuously increasing velocity. In free fall, the object is subject only to the force of gravity, resulting in a constant acceleration downward.
When an object is in free fall, it is not subject to any forces other than gravity. The force of gravity causes the object to accelerate downward at a constant rate. This acceleration is approximately 9.8 m/s^2 on Earth and is represented by the symbol 'g'.
As the object falls, its velocity increases at a steady rate. This means that for each unit of time that passes, the object's speed increases by the same amount. For example, in the first second of free fall, the velocity of the object increases by 9.8 m/s. In the second second, it increases by an additional 9.8 m/s, and so on.
The concept of free fall is fundamental to understanding the motion of objects under the influence of gravity. It allows us to calculate the position, velocity, and acceleration of falling objects and is crucial in fields such as physics, engineering, and astronomy.
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Earth pulls on the moon, and similarly the moon pulls on Earth. This is evidence that
O Earth and moon are simply pulling on each other.
O Earth's and moon's gravitational pulls comprise an action-reaction pair.
O both A and B
O neither A or B
This is evidence that Earth and moon are simply pulling on each other and Earth's and moon's gravitational pulls comprise an action-reaction pair.
The correct option is both A and B.
What causes the gravitational pull?All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature.
What is an example of gravitational pull?The cause of the Moon's orbital rotation around the Earth. The ocean's tides are controlled by the force of the Moon. the force that confines all gases to the Sun. The force that acts on us is what allows us to walk on the ground as opposed to floating in the air.
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The device shown below is installed on an electrical wire. What is the most likely effect it will have?
A. The object will stop current from flowing.
B. The wire will begin to spark.
C. The magnetic field around the wire will decrease.
D. The voltage carried on the wire will decrease.
The most likely effect of installing an electric transformer with two coils on an electrical wire is that the voltage carried on the wire will decrease.
What is the most likely effect of installing an electric transformer with two coils on an electrical wire?
The device shown in the image is an electric transformer with two coils. Transformers are used to change the voltage of an alternating current (AC) in a power transmission system. The primary coil is connected to the power source, and the secondary coil is connected to the load.
The most likely effect of installing a transformer on an electrical wire is that the voltage carried on the wire will decrease. When the wire is connected to the primary coil of the transformer, the alternating current flowing through the wire produces a magnetic field around the wire.This magnetic field causes current to flow through the secondary coil, which is connected to the load. The voltage in the secondary coil is proportional to the number of turns in the coil and the voltage in the primary coil.
Therefore, if the number of turns in the secondary coil is less than the number of turns in the primary coil, the voltage in the secondary coil will be lower than the voltage in the primary coil. Conversely, if the number of turns in the secondary coil is greater than the number of turns in the primary coil, the voltage in the secondary coil will be higher than the voltage in the primary coil. In either case, the voltage carried on the wire will decrease as it passes through the transformer.
Therefore, the correct answer is D: The voltage carried on the wire will decrease.
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Is lateral shift or lateral displacement same ?
Answer:
When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.
Explanation:
.
a proton is located at x = 1.0 nm, y = 0.0 nm and an electron is located at x = 0.0 nm, y = 4.0 nm. find the attractive coulomb force between them. (the value of k is 9.0 × 109 n·m2/c2.)
The attractive Coulomb force between the proton and electron is -2.31 × 10⁻⁸ N. The negative sign indicates that the force is attractive, as expected for opposite charges
The distance between the proton and electron can be calculated using the distance formula:
d = √((x₂ - x₁)²+ (y₂ - y₁)²)
= √((0.0 - 1.0)² + (4.0 - 0.0)²)
= √(17) nm
The force between the proton and electron can be calculated using Coulomb's law:
F = k × (q₁ × q₂) / d²
where k is the Coulomb constant, q₁ and q₂ are the charges of the proton and electron, respectively, and d is the distance between them.
Substituting the given values, we get:
F = 9.0 × 10⁹ N·m²/C² ₓ (-1.6 × 10⁻¹⁹ C) ₓ (1.6 × 10⁻¹⁹ C) / √(17) × 10⁻⁹ m)²
= -2.31 × 10⁻⁸ N
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Which of the following represents the subparticles for magnesium?
12p, 12e, 13n
12p, 13e, 14n
12p, 13e, 14n
12p, 12e, 12n
A city’s water tower has a capacity of 1000 kg of water. A pump is filling the water tower to an average height of 50 m.
How much work is done by the pump to fill the 1000-kg tower?
The work done by the pump to fill the 1000-kg water tower is 490500 Joules.
What is work done?Every time a force pushes something over a distance, work is done. By multiplying the force by the distance moved in the force's direction, you may determine the energy transferred, or work done.
To calculate the work done by the pump to fill the water tower, we can use the formula:
W = F * d * cos(θ)
Where W is the work done, F is the force applied, d is the distance moved, and θ is the angle between the force vector and the displacement vector.
In this case, the force applied is the weight of the water being pumped, which can be calculated as:
F = m * g
Where m is the mass of the water (1000 kg) and g is the acceleration due to gravity (9.81 \(m/s^2\)).
F = 1000 kg * 9.81 \(m/s^2\) = 9810 N
The distance moved is the average height of the water tower, which is 50 m.
The angle between the force vector and the displacement vector is 0 degrees, since the force is applied vertically upwards and the displacement is also in the vertical direction.
Substituting the given values, we get:
W = F * d * cos(θ) = 9810 N * 50 m * cos(0°) = 490500 J
Therefore, the answer is 490500 Joules.
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A spring of spring constant 30.0 N/m is attached to a 2.3 kg mass and set in motion. What is the period and frequency of vibration for the 2.3 kg mass?
Answer:
1. The period is 1.74 s.
2. The frequency is 0.57 Hz
Explanation:
1. Determination of the the period.
Spring constant (K) = 30 N/m
Mass (m) = 2.3 Kg
Pi (π) = 3.14
Period (T) =?
The period of the vibration can be obtained as follow:
T = 2π√(m/K)
T = 2 × 3.14 × √(2.3 / 30)
T = 6.28 × √(2.3 / 30)
T = 1.74 s
Thus, the period of the vibration is 1.74 s.
2. Determination of the frequency.
Period (T) = 1.74 s
Frequency (f) =?
The frequency of the vibration can be obtained as follow:
f = 1/T
f = 1/1.74
f = 0.57 Hz
Thus, the frequency of the vibration is 0.57 Hz
The period of the vibration is 1.76 s and the frequency of the vibration is 0.57 s-1.
Using the formula;
T = 2π√(m/K)
Where;
T = period
m = mass
K = spring constant
Substituting values;
T = 2(3.142)√2.3/30
T = 6.284 × 0.28
T = 1.76 s
Recall that the period is the inverse of frequency;
f = 1/T
f = 1/1.76 s
f = 0.57 s-1
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Which CRA statement of account would be received by threshold 1
and 2
accelerated remitters?
A. TD1X
B. PD7A-AR
C PD7A(TM)
D. PDTA"
Threshold 1 and Threshold 2 Accelerated Remitters will receive a PD7A-AR CRA Statement of Account. Option B is correct.
The CRA Statement of Account that would be received by Threshold 1 and 2 accelerated remitters is PD7A-AR.
CRA Statement of Account. The CRA statement of account is a statement of your account with the Canada Revenue Agency (CRA) which shows the balance owed or the credit available to you. CRA account statements can be used to check your account balance, view transactions, and payments made towards your balance.
In conclusion, Threshold 1 and 2 accelerated remitters receive a PD7A-AR CRA Statement of Account.
Therefore, Option B is correct.
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