In a double-slit experiment, the fourth-order maximum for a wavelength of 450nm occurs at an angle of θ=90 ∘
.
To eliminate all visible light in the fourth-order maximum, what least change is needed?

Answers

Answer 1

In a double-slit experiment, the distance between the slits must be changed by at least 1800nm to eliminate all visible light in the fourth-order maximum.

In a double-slit experiment, interference patterns are created when light waves pass through two narrow slits and interfere with each other. The pattern consists of bright fringes (maxima) and dark fringes (minima). The position of these fringes is determined by the wavelength of the light and the distance between the slits.

In this case, we are given that the fourth-order maximum for a wavelength of 450nm occurs at an angle of θ=90∘. This means that the light waves are interfering constructively at this angle, resulting in a bright fringe.

To eliminate all visible light in the fourth-order maximum, we need to create destructive interference. This means that the light waves must interfere in such a way that they cancel each other out at the fourth-order maximum.

The condition for destructive interference is given by the equation:

d sin θ = mλ

where d is the distance between the slits, θ is the angle of the fringe, m is the order of the fringe, and λ is the wavelength of the light.

For the fourth-order maximum, m=4 and λ=450nm. We are given that θ=90∘. Solving for d, we get:

d = mλ / sin θ

d = 4 x 450nm / sin 90∘

d = 1800nm

Therefore, the distance between the slits must be changed by at least 1800nm to eliminate all visible light in the fourth-order maximum.

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Related Questions

What force do you need to accelerate a car at 5m/s2 that has a mass of 3,000kg?

Answers

The force needed to accelerate a car at 5 m / s² that has a mass of 3,000 kg is 15 KN

F = m a

F = Force

m = Mass

a = Acceleration

m = 3000 kg

a = 5 m / s²

F = 3000 * 5

F = 15000 N

F = 15 KN

According to Newton's second law of motion, the force is equal to the rate of change of momentum of the object.

Therefore, the acceleration of the car is 15 KN

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A force of 15 newtons is used to push a box along the floor a distance of 3 meters. How much was done?

Answers

Answer:

\(45 J\)

Explanation:

The equation for work is:

\(Work=Force*Distance\)

We can substitute the given values into the equation:

\(Work=15N*3m\\Work=45Nm\\Work=45J\)

Answer:

45 J

Explanation:

w =fd

w = 15(3)

Why do you think that countries using the metric system prefer the Celsius scale over the Fahrenheit scale? If you decide to travel outside the United States, which one of the two temperature conversion formulas should you take?

Answers

Answer:

Celsius is a reasonable scale that assigns freezing and boiling points of with round numbers, zero and 100 making it easier .This makes it easy to calibrate instruments anywhere in the world.In Fahrenheit, those are, incomprehensibly, 32 and 212

To strike or hit something with great force

Answers

Answer:

To strike or crash into with resounding impact. To collide or strike with great force. Used to indicate the sound of a forceful blow or collision.

Answer:

To strike or crash into with resounding impact. To collide or strike with great force. Used to indicate the sound of a forceful blow or collision.

Explanation:

Using laws of exponents, explain how to simplify (x-2)3. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2. (Site 2)

Answers

\((x-3)^3\)

Using the following rule:

\((a-b)^3=a^3-3a^2b+3ab^2-b^3\)

Therefore:

\((x-3)^3=x^3-9x^2+27x-27\)

a
It do
While doing dishes, Zvi drops his
3.0x10 3kg platinum wedding band
into the dishwater, displacing a
volume of 1.40x107m3 of water,
what is the density of the platinum
band?
n
CSS c
sion
im
al
Select one:
a. 2.56x104 kg/m3
b. 1.0x104 kg/m3
Di
c. 0.5x104 kg/m3
IL
d. 2.14x104 kg/m3
IL:​

Answers

Answer:

d. 2.14 x 10⁻⁴ kg/m³

Explanation:

Density is defined as the mass of an object per unit volume occupied by that object. The formula of density is, therefore, given as follows:

\(\rho = \frac{m}{V}\)

where,

ρ = density of platinum band = ?

m = mass of platinum band = 3 x 10³ kg

V = Volume displaced by Platinum band = 1.4 x 10⁷ m³

Therefore,

\(\rho = \frac{3\ x\ 10^{3}\ kg}{1.4\ x\ 10^{7}\ m^{3}}\\\\\rho = 2.14\ x\ 10^{-4}\ kg/m^{3}\)

Hence, the correct option is:

d. 2.14 x 10⁻⁴ kg/m³

list all the types of energy

Answers

Answer:

See Below

Explanation:

1: Thermal  Energy

2: Chemical Energy

3: Nuclear Energy

4: Electrical Energy

5: Radiant Energy

6: Light Energy

7: Motion Energy

8: Sound Energy

There are 8 types are energy that are above.

Hope this helps.

solve the horizontal component​

Answers

Answer:

To find the horizontal component, we multiply the magnitude of the vector by the cosine angle referenced to the horizontal. To find the vertical component, we do the same thing, but take the sine angle.

What is the force constant of the spring which is 4cm by a mass of 200 g

Answers

The force constant of the spring would be 50 N/m.

What is spring?

A spring is a deformable object whose linear length can be changed under the presence of force. It regains its original length after the force is removed.

When a spring is stretched by the length {x} due to an acting force {F}, then the following relation holds -

F = - kx

where {k} is spring constant.

Given is that a spring is stretched by 4cm by a mass of 200 g.

We know that -

F = - kx

|F| = |- kx|

200 = 4k

k = 50 N/m

Therefore, the force constant of the spring would be 50 N/m.

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1. What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?2. What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.3. What is Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?

Answers

The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop is 2.39 X 10⁻⁸ N. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop is 9.56 X 10⁻⁹ N. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop is zero.

1. The Fad,x, the x-component of the force exerted by the infinite wire on segment AD of the loop =

= Fad,x = u₀i₁i₂H / (2πL)

= Fad, x = [ (4π X 10⁻⁷)(0.672)(0.256) X (0.25) ] /2π X 0.36

= Fad,x= 2.39 X 10⁻⁸ N

2. The Fbc,x, the x-component of the force exerted by the infinite wire on segment BC of the loop =

= Fbc,x = u₀i₁i₂H / (2π) X (L+W)

= Fbc,x = (4π X 10⁻⁷)(0.672)(0.256)((0.25)/2π X (0.36+0.54)

= Fbc,x = 9.56 X 10⁻⁹ N

3. The Fnet,y, the y-component of the net force exerted by the infinite wire on the loop =

= Fnet,y = 0, since force acting on perpendicular wire is zero.

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Which of these is most likely to be a centrifugal force within the EU in the future?

Answers

Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.

With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.

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complete question:

Which of these is most likely to be a centrifugal force within the EU in the future?

a. trade barriers

b. closed borders

c. pollution problems

d. cultural differences

If at 10m above the ground an object has 50J of Kinetic Energy, with 50J of Potential Energy. How high can the object travel?



A) 50 meters
B)20 meters
C)10 meters
D)5 meters

Answers

Hi there!

\(\large\boxed{\text{B) 20 meters}}\)

We know that:

\(E_T = U + K\)

U = Potential Energy (J)

K = Kinetic Energy (J)

E = Total Energy (J)

At 10m, the total amount of energy is equivalent to:

U + K = 50 + 50 = 100 J

To find the highest point the object can travel, K = 0 J and U is at a maximum of 100 J, so:

100J = mgh

We know at 10m U = 50J, so we can solve for mass. Let g = 10 m/s².

50J = 10(10)m

m = 1/2 kg

Now, solve for height given that E = 100 J:

100J = 1/2(10)h

100J = 5h

h = 20 meters

Somebody help!?
13. The graph below represents the speed of a car vs. time. Circle the letter(s) with the lowest acceleration.
What is the acceleration? How do you know?​

Somebody help!?13. The graph below represents the speed of a car vs. time. Circle the letter(s) with

Answers

Answer:

acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Explanation:

Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared .

What Force is needed to give a 3.5m/s^2 acceleration to 1200 kg car

Answers

Answer:

4200N

Explanation:

Force = acceleration × mass

f=3.5×1200

f=4200

Please help AP Physics!!!

A simple pendulum consists of a sphere tied to the end of a string of negligible mass. The sphere is pulled back until the string is horizontal and then released from rest. Assume gravitational potential energy is zero when the sphere is at its lowest point. What angle will the string make with the horizontal when the kinetic energy and the potential energy of the sphere-Earth system are equal?

Greater than 45°
Equal to 45°
Less than 45°
It cannot be determined without knowing the mass of the sphere.

Answers

Answer:

Explanation:

Less than 45!

The angle that the string will make horizontally while Kinetic Energy and Potential Energy being equal of the sphere-Earth system would be:

C). Less than 45°

Given that,

Gravitational potential energy = 0

Mass = negligible

Since the body is released from the state of rest and the sphere is present its lowest point, the angle(θ) that it creates would be :

\(mgh =\) \(\frac{1}{2} mv^2\)                       (\(v = L,\) θ)

θ = less than 45°.

θ < 45°

Thus, option C is the correct answer.

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on earth a pendulum has a period of 0.80 s. if gmars = 0.37 gearth, then what is its period of the pendulum on mars?

Answers

The period of the pendulum on Mars can be determined by using the formula for the period of a pendulum, which is given by:

T = 2π√(L/g)

Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Since we are given the period on Earth (T_earth = 0.80 s), we can rearrange the formula to solve for the length of the pendulum on Earth:

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On earth a pendulum has a period of 0.80 s. if Gmars = 0.37 Gearth, So the period of the pendulum on mars is 1.424 seconds.

On Earth a pendulum has a period of 0.80 s.

Gmars = 0.37 GEarth.

We need to find the period of the pendulum on Mars. We know that,

T = 2π√(l/g)

where,

T is the time period of a pendulum, l is the length of the pendulum, and g is the acceleration due to gravity.

Substituting values,

Let l be constant on Earth and Mars.

l1 = l2 = lAl

so, g1 = GEarth and g2 = GMars = 0.37 GEarth.

T1 = 2π√(l/g1) and T2 = 2π√(l/g2)T2/T1 = √g1/g2= √(GEarth/GMars) (as T1 and l are constant)

T2/T1 = √(1/Gmars) [as GEarth/GMars = 1/0.37]T2/T1 = √(1/0.37)T2/T1 = 1.78

Time period of pendulum on Mars,

T2 = T1 × 1.78T2 = 0.8 × 1.78T2 = 1.424 s

Hence, the time period of the pendulum on Mars is 1.424 seconds.

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In a circuit with two identical components connected in parallel, the current which flows through its different branches will be __________. Which of the following completes the sentence?

Answers

In a circuit with two identical components connected in parallel, the current which flows through its different branches will be different.

What is parallel circuit?

A parallel circuit can be defined as a type of circuit that comprises branches so that the current divides and only part of it flows through any branch.

In this type of circuit (parallel circuit) the voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.

The main characteristics of parallel circuits include the follow;

current in each circuit component is differentvoltage in each circuit component is the samethe effective resistance is the reciprocal sum of individual resistance

Thus, a parallel circuit will have same voltage across the circuit components and different current flowing in each components.

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Qualitatively compare the following quantities for objects a and b. If a has the greater value write a in the blank. If b has the greater value write b

Answers

It is not possible to provide a qualitative comparison between objects a and b without knowing the specific quantities being compared.

To make a qualitative comparison, we need to know the specific attributes or characteristics being compared. Without this information, we cannot determine which object has a greater value. For example, if the quantities being compared are size, weight, or temperature, we would need the specific values for a and b to make a comparison.

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a space traveler weighs 682 n on earth. what will the traveler weigh on another planet whose radius is 3 times that of earth and whose mass is 2 times that of earth?

Answers

The traveler's weight on another planet whose radius is 3 times that of Earth and whose mass is 2 times that of Earth is 21.647 N

The following is the solution to the given problem:

Mass and gravity are related to one another. Gravity is generated by the planet's mass, and the magnitude of the gravitational force is determined by the mass of the planet on which the object is situated, as well as the mass of the object.

Mass, distance, and gravity are all factors that influence the gravitational force. Mass is directly proportional to the gravitational force and inversely proportional to the square of the distance from the gravitational force's center.

Here is the formula: Force of gravity = G(M1M2)/d²where, G is the gravitational constant 6.67 x 10^{-11} N(m/kg)^2, M1 is the mass of the first body, M2 is the mass of the second body, d is the distance between the centers of two bodies.

On earth, the traveler weighs 682 N. On another planet whose radius is 3 times that of Earth and whose mass is 2 times that of Earth, we have to calculate the traveler's weight.

Mass of Earth is 5.972 × 10^24 kg2,

Radius of Earth is 6.371 x 10^63.

The mass of the planet whose radius is 3 times that of Earth and whose mass is 2 times that of Earth.

Mass of the planet = 2 x mass of Earth = 2 x 5.972 × 10^24 kg = 1.1944 × 10^25 kg4.

The radius of the planet whose radius is 3 times that of Earth,

Radius of the planet = 3 x radius of Earth = 3 x 6.371 x 10^6 m = 1.9113 × 10^7 m5.

The distance between the two planets.

Distance between two planets = radius of planet + radius of Earth

= 1.9113 × 10^7 m + 6.371 x 10^6 m

= 2.54813 x 10^7 m

= 2.54813 x 10^10 cm.

Putting all the values in the formula.

Force of gravity = G (M1 M2) / d²

Where, Mass of the traveler on the other planet is m.

Mass of the Earth is M1 = 5.972 × 10^24 kg.

Mass of the other planet is M2 = 2 x 5.972 × 10^24 kg = 1.1944 × 10^25 kg.

Radius of the Earth is r1 = 6.371 x 10^6 m.

Radius of the other planet is r2 = 3 x 6.371 x 10^6 m = 1.9113 × 10^7 m.

Distance between the two planets is d = 2.54813 x 10^10 cm.682

= G (M1 M2)/d²

G = 6.674 × 10^-11 N m² / kg²

Force of gravity on other planet = G(mM2)/r² where m is the mass of the traveler on the other planet

= 6.674 × 10^-11 × (m × 1.1944 × 10^25)/(1.9113 × 10^7)²

Weight on another planet = force of gravity on another planet × mass of the traveler on another planet

= (6.674 × 10^-11 × (m × 1.1944 × 10^25)/(1.9113 × 10^7)²) × m

= 21.647 N (approximately)

Therefore, the traveler's weight on another planet whose radius is 3 times that of Earth and whose mass is 2 times that of Earth is 21.647 N (approximately).

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Question 5
Joan wants to decrease her BMI number. How can she achieve her goal?

A. Joan can lose some weight
B. Joan can stretch and get taller
C. Joan can have her blood pressure checked.
D. Joan can take medication


Answers

A. Is the most reasonable answer consider that BMI means Body Mass Index your weight divided by your height in meters and so on B. Doesn’t work. C. B just makes more sense and D. Best to try something on your own then switching to medication

A diver is on a board 1.80 m above
the water. She jumps straight up
at 3.62 m/s.
At what speed does she hit the water?
[?] m/s

Answers

Answer:

v = 6.95 m/s

Explanation:

Given that,

A diver is on a board 1.80 m above  the water, s = 1.8 m

The initial speed of the diver, u = 3.62 m/s

Let v is the speed with which she hit the water. It will move under the action of gravity. Using the equation of motion as follows :

\(v^2-u^2=2gs\\\\v=\sqrt{u^2+2gs} \\\\v=\sqrt{(3.62)^2+2(9.8)(1.8)} \\\\v=6.95\ m/s\)

So, she will hit the water with a speed of 6.95 m/s.

What is the answer for the first part of a? In kN

What is the answer for the first part of a? In kN

Answers

We are asked to determine the magnitude of the force that acts parallel to the nail. To do that we will add the torque that acts on the point of contact. First, we draw a free-body diagram of the situation:

We have decomposed the force of the nail into its horizontal and vertical components. The horizontal component does no torque since there is no distance parallel to the force to the point of contact.

Now, we add the torques. We consider counterclockwise as positive:

\(\Sigma T=-(30cm)F+(5cm)(R_y)\)

Since we consider the moment before there is no angular acceleration the sum of torques adds up to zero:

\(-(30cm)F+(5cm)(R_y)=0\)

Now, we determine the value of Ry as a function of "R" using the trigonometric function cosine:

\(\cos \theta=\frac{R_y}{R}\)

Now, we multiply both sides by "R":

\(R\cos \theta=R_y\)

Now, we substitute in the sum of torques:

\(-(30cm)F+(5cm)(R\cos \theta_{})=0\)

Now, we solve for "R". First, we add "30F" to both sides:

\((5cm)(R\cos \theta)=(30cm)F\)

Now, we divide both sides by 5cm:

\((R\cos \theta)=\frac{(30cm)F}{5cm}\)

Now, we divide both sides by cosine:

\(R=\frac{(30cm)F}{5cm\cos \theta}\)

Now, we substitute the values:

\(R=\frac{(30cm)(155N)}{(5cm)\cos 26.9}\)

Solving the operations:

\(R=1042.8N\)

Therefore, the force on the nail is 1042.8 Newtons.

What is the answer for the first part of a? In kN

A pizza delivery must make three stops on her route. She will first leave the restaurant and travel 4km due north to the first house. The next house is 6km away at 45 south of west according to her map. The final stop is 5km away at 60 north of west. What is her displacement from the restaurant to the final stop

Answers

5.3 km

This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

By simple calculations, we can derive the unit vectors j,\(\frac{-i-j}{2}\) and in the directions North,  South of West, and  North of West respectively.

So Total displacement vector = The Sum of individual displacement vectors.

Displacement vector = -4.25i + 3.165j

The magnitude of Displacement =| -4.25i + 3.165j |  = 5.3km

∴ Total displacement = 5.3km

A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.  It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.

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It is difficult to lift a Large stone but easy to lift a smaller one on the surface of the earth .why ​?

Answers

Answer:

the weight of the large stone is greater than a small one

Explanation:

because the large stone has greater mass then the small stone.therefore it is difficult to lift the large stone on the surface of the earth but easy to lift the small one

True or False: A young, single, and childless person might buy life insurance when there is a personal or family history of medical problems that might disqualify him or her from coverage later on when there is a need for it.

Answers

A young, single, and childless person might buy life insurance if they have a personal or family history of medical problems that could potentially disqualify them from coverage later on when there is a need for it, the given statement istrue because life insurance premiums are generally lower for younger individuals, and securing coverage early can provide financial protection in the future.

Many people assume that life insurance is only necessary when they have dependents or when they are older, but this is not always the case. Some medical conditions, such as cancer, heart disease, or diabetes, can make it difficult to get coverage later on. By purchasing life insurance while they are young and healthy, individuals can ensure that they have coverage in place for any future needs.

Additionally, purchasing life insurance when young can help lock in lower premiums and ensure financial security in the event of an unexpected death. However, it is important to carefully consider the costs and benefits of life insurance before making any decisions. So therefore by purchasing life insurance early, this individual can ensure that they have coverage in place should they require it later in life, such as when starting a family or when a medical condition arises, this proactive approach can also provide peace of mind and financial security for the policyholder and their future dependents.

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Two billiard balls roll towards each other. They each have a mass of 0.3 kg. ball 1 is moving at 1 m/s to the right while ball 2 is moving at 1 m/s to the left. Calculate the momentum of the system.

with explanation pls ​

Answers

Answer:

mass= 0.05kg

v=6m/s

pi=mvi=0.05*6=0.3kgm/s

p1f=0.3kgm/s

p2f=0.3kgm/s

p1f-p1i=0.3-0.3=0.6kgm/s

p2f-p2i=0.3(0.3) =0.6kgm/s

it was in opposite directions

anyone who is in class 6?​

Answers

Answer:

hey I am in class 6 why did you ask

which star in the northern hemisphere is above earth's axis

Answers

The star Polaris, also known as the North Star or Pole Star, is located above Earth's axis in the northern hemisphere.

Polaris holds a special position in the night sky because it appears almost stationary while other stars appear to rotate around it. This is due to its close alignment with the Earth's rotational axis, making it appear fixed above the North Pole. As a result, Polaris serves as a reliable navigational tool for observers in the northern hemisphere. Its position can be used to determine true north, aiding in navigation, timekeeping, and astrometry.

The reason for Polaris's alignment with Earth's axis lies in the phenomenon called axial precession. Over long periods of time, Earth's rotational axis traces out a circular path due to gravitational interactions with other celestial bodies. Currently, Polaris happens to be the closest visible star to the North Celestial Pole, making it the star above Earth's axis in the northern hemisphere. However, it is important to note that due to this precession, the role of the North Star has changed throughout history, and in approximately 26,000 years, another star, Vega, will take its place as the North Star.

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Oil having a density of 924 kg/m³ floats on
water. A rectangular block of wood 3.18 cm
high and with a density of 965 kg/m³ floats
partly in the oil and partly in the water. The
oil completely covers the block.
How far below the interface between the
two liquids is the bottom of the block?
Answer in units of m.

Answers

Explanation:

The bottom of the block is 0.1365 meters (or 13.65 centimeters) below the interface between the two liquids.

help ASAP
A golf ball is sitting still on the grass three feet from the hole. Which statement describes the golf ball's motion? * The golf ball has a constant velocity. The golf ball is accelerating.​

Answers

Answer:

The golf ball has a constant velocity

Explanation:

Other Questions
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