Point charges q1=− 4.40 nC and q2=+ 4.40 nC are separated by distance 3.00 mm , forming an electric dipole.Find the magnitude of the electric dipole moment.

The missing species of the nuclear reaction obtained is ³⁰₁₅P

The missing species of the equation can be obtain as follow:

Now, we can obtain the value of x, y and Z as follow:

²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n

For x

13 + 2 = x + 0

15 = x

x = 15

For y

27 + 4 = y + 1

31 = y + 1

Collect like terms

y = 31 - 1

y = 30

For Z

ʸₓZ => ³⁰₁₅Z

From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have

ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P

Therefore, we can write the complete equation as:

²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n

Thus, the missing species is ³⁰₁₅P

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Answer: 4.97 years

Explanation: I got the answers right

By the use of the Kepler's laws, the period of the orbit is 5.22 years. Option D

We know that when we are dealing with the orbits that our mind would have to be turned to the Kepler's law. In the Keplers law, we see the relationship that cold be used in the attempt to connect the period of the orbit to the radius of the semi major axis of an orbiting body.

By the application of the Keplers third law;

T^2 = r^3

The statement of the law is that the square of the period of the objects orbit is equal to the cube of the length of the semi major axis.

We then know that;

T = period

r = distance

Hence;

T = r^3/2

T = (3.01 )^3/2

T = 5.22 years

The period of the object is seen to be 5.22 years from the calculation above.

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The accurate statements that describe mechanical waves are: Mechanical waves require a medium , Mechanical waves transfer energy, Mechanical waves can be longitudinal or transverse, Mechanical waves can be categorized as compressional or shear waves, Mechanical waves obey the principles of reflection, refraction, and interference, Mechanical waves have measurable properties such as wavelength, frequency, and amplitude.

Mechanical waves are a type of wave that require a medium, such as a solid, liquid, or gas, to propagate. They are characterized by the transfer of energy through the oscillation or vibration of particles in the medium. Here are the accurate statements that describe mechanical waves:

1. Mechanical waves require a medium: This statement is true. Mechanical waves cannot propagate in a vacuum because they rely on the interaction of particles in a medium to transfer energy.

2. Mechanical waves transfer energy: This statement is true. Mechanical waves transport energy from one location to another as the particles of the medium vibrate or oscillate.

3. Mechanical waves can be longitudinal or transverse: This statement is true. Mechanical waves can exhibit different types of motion. In longitudinal waves, the particles of the medium oscillate parallel to the direction of wave propagation. In transverse waves, the particles oscillate perpendicular to the direction of wave propagation.

4. Mechanical waves can be categorized as compressional or shear waves: This statement is true. In a compressional wave, the particles of the medium undergo compression and rarefaction as the wave passes through. In shear waves, the particles move perpendicular to the direction of wave propagation, resulting in a sideways displacement.

5. Mechanical waves obey the principles of reflection, refraction, and interference: This statement is true. Mechanical waves can reflect off surfaces, change direction when passing through different media (refraction), and exhibit interference patterns when two or more waves interact.

6. Mechanical waves have measurable properties such as wavelength, frequency, and amplitude: This statement is true. Mechanical waves can be described by various properties. Wavelength represents the distance between two consecutive points in the wave, frequency is the number of wave cycles per unit of time, and amplitude is the maximum displacement of particles from their equilibrium position.

These statements accurately describe mechanical waves and their properties, highlighting the key characteristics of this type of wave propagation.

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Answer:10.03

Explanation:acellus

Answer:

48 m/s - 16 m/s = 32 m/s

(32 m/s )/ (8 s) = 4 m/s²

Answer:

460.52 s

Explanation:

Since the instantaneous rate of change of the voltage is proportional to the voltage in the condenser, we have that

dV/dt ∝ V

dV/dt = kV

separating the variables, we have

dV/V = kdt

integrating both sides, we have

∫dV/V = ∫kdt

㏑(V/V₀) = kt

V/V₀ = \(e^{kt}\)

Since the instantaneous rate of change of the voltage is -0.01 of the voltage dV/dt = -0.01V

Since dV/dt = kV

-0.01V = kV

k = -0.01

So, V/V₀ = \(e^{-0.01t}\)

V = V₀\(e^{-0.01t}\)

Given that the voltage decreases by 90 %, we have that the remaining voltage (100 % - 90%)V₀ = 10%V₀ = 0.1V₀

So, V = 0.1V₀

Thus

V = V₀\(e^{-0.01t}\)

0.1V₀ = V₀\(e^{-0.01t}\)

0.1V₀/V₀ = \(e^{-0.01t}\)

0.1 = \(e^{-0.01t}\)

to find the time, t it takes the voltage to decrease by 90%, we taking natural logarithm of both sides, we have

㏑(0.01) = -0.01t

So, t = ㏑(0.01)/-0.01

t = -4.6052/-0.01

t = 460.52 s

Four electrons are placed at the corner of a square

So we will first find the electrostatic potential at the center of the square

So here it is given as

here

r = distance of corner of the square from it center

now the net potential is given as

now potential energy of alpha particle at this position

Now at the mid point of one of the side

Electrostatic potential is given as

here we know that

now potential is given as

now final potential energy is given as

Now work done in this process is given as

We have that Work is done by the Coulomb force when the alpha particle moves to the midpoint of one of the sides of the square

From the question we are told

Four electrons are located at the corners of a square 10.0 nm on a side, with an alpha particle at its midpoint.  

How much work is done by the Coulomb force when the alpha particle moves to the midpoint of one of the sides of the square 

Generally the equation for the Work done  is mathematically given as

\(W=2kqQ\frac{2}{r1}-\frac{1}{r2}-\frac{1}{r3}\\\\\ W=2*8,99*10^9*-1.6*10^{-19}* -1.6*10^{-19} (\frac{2}{5*10^{-9}+5*10^{-9}}-\frac{1}{5*10^{-9}}-\frac{1}{10*10^{-9}+5*10^[-9]})\)

Therefore

Work is done by the Coulomb force when the alpha particle moves to the midpoint of one of the sides of the square

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The mass of the traveling truck is approximately 3000 kilograms.

Momentum is simply the product of the mass of an object and its velocity.

Its is expressed mathematically as;

P = m × v

Where m is the mass of the object and v is its velocity.

Given that:

Momentum of truck P = 6.36 × 10⁴ kgm/s

Velocity of the truck v = 21.2 m/s

Mass of the truck m = ?

Substitute the given values into the equation above and solve for mass.

P = m × v

m = p / v

m = ( 6.36 × 10⁴ ) / 21.2

m = 3 × 10³ kg

m = 3000 kg

Therefore, the truck has a mass of 3000 kg.

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Answer:

.... um im pretty sure we are in the same science class lol but anyways the answer is tidal bulges

Explanation:

Answer:

C

Explanation:

Gravity is the main reason that make our planets to pull each other

Answer:

  3 Ω

Explanation:

I find a calculator with a reciprocal key quite useful for calculating parallel resistance.

  Req = 1/(1/r1 +1/r2 +... +1/rn))

Of course, resistors in series add.

The far right two branches are 10 Ω in parallel with (8+2) Ω = 10 Ω. Of course, the parallel combination of two equal-value resistors is half the value of either of them. Thus the two right branches resolve to 5 Ω, which is then added to 1 Ω to give an effective middle section that is 12 Ω || 4 Ω || 6 Ω.

That combination has an effective resistance of ...

  Req = 1/(1/12 +1/4 +1/6) = 1/(1/12 + 3/12 +2/12)) = 12/6 = 2 . . . ohms

This is effectively in series with the upper left 1 Ω resistor, so the equivalent load on the source is 1+2 = 3 Ω.

The coefficient of static friction places a limit of approximately 3.42 seconds on the minimum time required for the car to accelerate from rest to 60.0 mph (26.8 m/s).

To find the limit that the coefficient of static friction places on the minimum time required for a car to accelerate from rest to 60.0 mph (26.8 m/s), we need to consider the maximum acceleration the car can achieve due to the friction between the rear tires and the pavement.

The maximum acceleration can be determined using the formula:

a_max = μs * g

where μs is the coefficient of static friction and g is the acceleration due to gravity (approximately 9.8 m/s²).

In this case, since the car's engine only turns the two rear wheels, the maximum acceleration is limited by the friction force between the rear tires and the pavement.

Now, to calculate the minimum time required to accelerate to 60.0 mph (26.8 m/s), we can use the following kinematic equation:

v = u + a * t

where v is the final velocity (26.8 m/s), u is the initial velocity (0 m/s), a is the acceleration, and t is the time.

Rearranging the equation, we have:

t = (v - u) / a

Plugging in the values, we get:

t = (26.8 m/s - 0 m/s) / a_max

t = 26.8 m/s / (μs * g)

Substituting the given value for the coefficient of static friction (μs ≈ 0.800) and the acceleration due to gravity (g ≈ 9.8 m/s²), we can solve for the minimum time required:

t = 26.8 m/s / (0.800 * 9.8 m/s²)

t ≈ 3.42 seconds

Therefore, the coefficient of static friction places a limit of approximately 3.42 seconds on the minimum time required for the car to accelerate from rest to 60.0 mph (26.8 m/s).

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Answer:

D. The World Bank.

Explanation:

UNDP is an acronym for United Nations Development Programme and it is a global (world) development initiative of the United Nations (UN). The main purpose of the United Nations Development Programme (UNDP) is to provide resources such as loans, grants and training to developing nations in order to improve their technical plans and infrastructural investments. One of the programmes sponsored by the United Nations Development Programme (UNDP) in developing countries around the world is the Sustainable Development Goals (SDGs).

Similarly, The World Bank is an international financial institution that is saddled with the responsibility of providing loans and grants to developing countries just like the United Nations Development Programme (UNDP).

Furthermore, several countries across the world such as Nigeria, Austria, Japan, Germany, United Kingdom, Ghana, Netherlands, Guinea, Brazil, Canada, China, Qatar, Egypt, United States of America, etc.

Hence, the World Bank is an international organization which the United States of America is involved.

The distance the ball was thrown is 52.22m by A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later.

Every motion under constant acceleration is projectile motion

Angle above horizontal Ф = 35°, initial speed v1 = 25m/s , time 2.55s

Substituting value in the below equation

x=x₁ + (v₁*cosθ)(t)+1/2 *a*t²

a= 0 as acceleration in horizontal direction is zero

x= 25*cos(35)*2.55

x=52.22 m

Projectile motion is a form of motion in which object influenced when it is launched into the gravitational force from the surface of Earth along a curved path.

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The liquid-level system consisting of two interacting tanks exhibits overdamped dynamics when the damping coefficient in equation 6-57 is larger than one. This means that the system will return to equilibrium without oscillating.

To show that the damping coefficient is larger than one, we can use the equation 6-57:

H1' (s) / Q'i (s) = K'_1 (T_{ \alpha} s + 1) / \tau^2 s^2 + 2 \zeta \tau s + 1

where ζ is the damping coefficient, ωn is the natural frequency of the system, y is the displacement of the liquid level from equilibrium, and t is time.

The damping coefficient ζ is given by:

ζ = (R1 + R2)/2√(L1C1L2C2)

where R1 and R2 are the resistances of the two tanks, L1 and L2 are the inductances of the two tanks, and C1 and C2 are the capacitances of the two tanks.

If the damping coefficient ζ is larger than one, the system will exhibit overdamped dynamics. This means that the system will return to equilibrium without oscillating.

To show that the damping coefficient is larger than one, we can plug in the values of R1, R2, L1, L2, C1, and C2 into the equation for ζ and see if the result is larger than one.

If the result is larger than one, then the system exhibits overdamped dynamics. If the result is less than one, then the system exhibits underdamped dynamics. If the result is equal to one, then the system exhibits critically damped dynamics.

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Answer:

a) the total electric potential is 2282000 V

b) the total electric potential (in V) at the point with coordinates (0, 1.50 cm) is 1330769.23 V

Explanation:

Given the data in the question and as illustrated in the image below;

a) Determine the total electric potential (in V) at the origin.

We know that; electric potential due to multiple charges is equal to sum of electric potentials due to individual charges

so

Electric potential at p in the diagram 1 below is;

Vp = V1 + V2

Vp = kq1/r1 + kq2/r2

we know that; Coulomb constant, k = 9 × 10⁹ C

q1 = 4.60 uC = 4.60 × 10⁻⁶ C

r1 = 1.25 cm = 0.0125 m

q2 = -2.06 uC = -2.06 × 10⁻⁶ C

location x2 = −1.80 cm; so r2 = 1.80 cm = 0.018 m

so we substitute

Vp = ( 9 × 10⁹ × 4.60 × 10⁻⁶/ 0.0125 ) + ( 9 × 10⁹ × -2.06 × 10⁻⁶ / 0.018 )

Vp = (3312000) + ( -1030000 )

Vp = 3312000 -1030000

Vp = 2282000 V

Therefore, the total electric potential is 2282000 V

b)

the total electric potential (in V) at the point with coordinates (0, 1.50 cm).

As illustrated in the second image;

r1² = 0.015² + 0.0125²

r1 = √[ 0.015² + 0.0125² ]

r1 = √0.00038125

r1 = 0.0195

Also

r2² = 0.015² + 0.018²

r2 = √[ 0.015² + 0.018² ]

r2 = √0.000549

r2 = 0.0234

Now, Electric Potential at P in the second image below will be;

Vp = V1 + V2

Vp = kq1/r1 + kq2/r2

we substitute

Vp = ( 9 × 10⁹ × 4.60 × 10⁻⁶/ 0.0195 ) + ( 9 × 10⁹ × -2.06 × 10⁻⁶ / 0.0234 )

Vp = 2123076.923 + ( -762962.962 )

Vp = 2123076.923 -792307.692

Vp =  1330769.23 V

Therefore, the total electric potential (in V) at the point with coordinates (0, 1.50 cm) is 1330769.23 V

a) The total electric potential is 2282000 V

b) The total electric potential (in V) at the point with coordinates (0, 1.50 cm) is 1330769.23 V

The electric potential is defined as the amount of work energy needed to move a unit of electric charge from a reference point to a specific point in an electric field.

Given the data in the question and as illustrated in the image below;

a) Determine the total electric potential (in V) at the origin.

We know that; electric potential due to multiple charges is equal to sum of electric potentials due to individual charges

Electric potential at p in diagram 1 below is;

\(V_P=V_1+V_2\)

\(Vp = \dfrac{kq_1}{r_1} + \dfrac{kq_2}{r_2}\)

we know that; the Coulomb constant, k = 9 × 10⁹ C

q1 = 4.60 uC = 4.60 × 10⁻⁶ C

r1 = 1.25 cm = 0.0125 m

q2 = -2.06 uC = -2.06 × 10⁻⁶ C

location x2 = −1.80 cm; so r2 = 1.80 cm = 0.018 m

so we substitute

Vp = ( 9 × 10⁹ × 4.60 × 10⁻⁶/ 0.0125 ) + ( 9 × 10⁹ × -2.06 × 10⁻⁶ / 0.018 )

Vp = (3312000) + ( -1030000 )

Vp = 3312000 -1030000

Vp = 2282000 V

Therefore, the total electric potential is 2282000 V

b)The total electric potential (in V) at the point with coordinates (0, 1.50 cm).

As illustrated in the second image;

\(r_1^2=0.015^2+0.0125^2\)

\(r_1 = \sqrt{[ 0.015^2 + 0.0125^2 ]\)

\(r_1 = \sqrt{0.00038125}\)

\(r_1 = 0.0195\)

Also

\(r_2^2 = 0.015^2 + 0.018^2\)

\(r_2 = \sqrt{0.015^2 + 0.018^2}\)

\(r_2 = \sqrt{0.000549\)

\(r_2 = 0.0234\)

Now, Electric Potential at P in the second image below will be;

Vp = V1 + V2

\(Vp = \dfrac{kq_1}{r_1} + \dfrac{kq_2}{r_2}\)

we substitute

Vp = ( 9 × 10⁹ × 4.60 × 10⁻⁶/ 0.0195 ) + ( 9 × 10⁹ × -2.06 × 10⁻⁶ / 0.0234 )

Vp = 2123076.923 + ( -762962.962 )

Vp = 2123076.923 -792307.692

Vp =  1330769.23 V

Therefore, the total electric potential (in V) at the point with coordinates (0, 1.50 cm) is 1330769.23 V

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Answer:

Kindly check explanation

Explanation:

Archimedes principle is a very important concept in fluid mechanics which is credited to the Greek mathematician called Archimedes. The law simply states that; When an object is fully or partially immersed in a fluid , the immersed body experiences an upthrust(Weight loss) which is equal to the weight of fluid displaced by the immersed object.

In essence, the upthrust or volume of Displacement experienced by the object will be equal to the volume of the the object which is immersed in the fluid. Such that the force of buoyancy matches the weight of object immersed in the fluid.

One of the most common illustrations of Archimedes is in the navigation of ships whose upthrust increases as the weight of the ship increases such that the upthrust force balances the weight of the ship in water.

Answer:

Answer:

Current(I)= charge(q)/time

I=15/22

I=0.680.68A

Explanation:

Current is flow of charge per unit time. Always make sure the time is in seconds. istthe

Answer:

= weather

Explanation:

The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

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ANSWER:
C

Explanation:

Solving Gaussian integration with polar coordinates involves converting the integral into polar coordinates, finding the mean and standard deviation of the function, substituting them into the Gaussian distribution formula, and integrating it over the range of the function in polar coordinates.

Gaussian integration with polar coordinates is the process of finding the integral of a function using polar coordinates and the Gaussian distribution. The polar coordinate system is a two-dimensional coordinate system that uses the radius and angle to locate a point in a plane. The Gaussian distribution is a probability distribution that is often used to describe random variables in statistics.
To solve the Gaussian integration with polar coordinates, we need to convert the integral into polar coordinates. The conversion is done using the following equations:
x = r cos(θ)
y = r sin(θ)
r² = x² + y²
θ = tan⁻¹(y/x)
Once the integral is converted into polar coordinates, we can use the Gaussian distribution to solve it. The Gaussian distribution is given by the following formula:
f(x) = (1/σ√(2π))e^(-(x-μ)²/2σ²)
where μ is the mean of the distribution and σ is the standard deviation. To use this formula, we need to first find the mean and standard deviation of the function we are integrating.
After finding the mean and standard deviation, we can substitute them into the Gaussian distribution formula and integrate it over the range of the function in polar coordinates. The result of the integration will be the value of the integral.
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The most likely true statement about asynchronous communication is that it is helpful when employees work across multiple time zones.

Asynchronous communication refers to a mode of communication where participants do not need to be present or engaged simultaneously. Instead, they can send and receive messages at their convenience.In today's globalized society, businesses often have teams distributed across different geographical locations and time zones. Asynchronous communication becomes invaluable in such scenarios as it allows team members to collaborate effectively without the constraints of real-time interactions. By utilizing tools like email, project management platforms, or messaging apps, individuals can communicate and exchange information regardless of their location or the time differences.

Asynchronous communication also offers benefits such as flexibility and increased productivity. Team members have the freedom to work at their own pace and prioritize tasks accordingly. It provides opportunities for thoughtful and well-crafted responses, as individuals can take time to gather information or reflect on complex matters before replying.While asynchronous communication is advantageous for teams operating across multiple time zones, it does not rely on all employees working in the same time zone. In fact, it is designed to accommodate diverse schedules and allow individuals to collaborate efficiently despite their varying work hours.

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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The phrase that most accurately describes its apparent motion in our sky against the background stars is west then Prograde - moving slower then Retrograde then Prograde - moving faster and at last east.

The apparent motion of a planet or other object as seen from Earth against a background of stars, moving from west to east (looking or viewing to the south - apparent right to left) which is called Prograde motion.

Retrograde motion is defined as "the apparent motion of a planet or other object as seen from Earth against the background of stars, moving from east to west (looking/viewing to the south - apparent left to right) motion."

When a superior planet (Mars, Jupiter, Saturn, Uranus, etc.) orbits the Sun at a distance greater than that of the Earth and is passed by the latter, which is moving with a higher relative velocity, the 'Superior' planet's normal direct motion appears to stop and then temporarily turn retrograde, giving it the appearance of undergoing a loop or zigzag in the sky.

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Answer:

Moses had told them to not keep the food till morning but some kept some anyways because they probably thought they were going to starve or not have food the next morning but what I think it means is that you have to trust in God that he will provide for you and so when the people kept the food cuz he thought they were probably going to start of the next day it got maggots

Answer:

\(291.67\ \text{m/s}\)

Explanation:

\(m_1\) = Mass of bullet = 4 g

\(m_2\) = Mass of block = 1.3 kg

\(\mu\) = Coefficient of friction = 0.17

\(s\) = Displacement of block = 0.24 m

\(v_1\) = Velocity of bullet

\(v\) = Velocity of combined mass

\(g\) = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)

The energy balance of the system is given by

\(\dfrac{1}{2}(m_1+m_2)v^2=\mu(m_1+m_2)gs\\\Rightarrow v=\sqrt{2\mu gs}\)

As the momentum is conserved in the system we have

\(m_1v_1=(m_1+m_2)v\\\Rightarrow m_1v_1=(m_1+m_2)\sqrt{2\mu gs}\\\Rightarrow v_1=\dfrac{(m_1+m_2)\sqrt{2\mu gs}}{m_1}\\\Rightarrow v_1=\dfrac{(4\times 10^{-3}+1.3)\times \sqrt{2\times 0.17\times 9.81\times 0.24}}{4\times 10^{-3}}\\\Rightarrow v_1=291.67\ \text{m/s}\)

The initial speed of the bullet is \(291.67\ \text{m/s}\).

The distance that is covered is 150 m

The displacement is 50 m.

We have to know that the displacement has to do with the distance that is covered in a  specific direction. We have to take note of the direction that we have there as that is what does make the difference between the distance and the displacement.

The distance does not involve the direction. It can then be safe to say that displacement is a vector and that distance is a scalar. Once again let us recall that these are so because the distance does not take cognizance of the direction while the displacement would always take cognizance of the direction of the motion.

Then we have;

Distance = 50 m + 50 m + 50 m = 150 m

For displacement calculation;

Moving towards the opposite side and back = 50 m - 50 m = 0 m

Moving again to the opposite side;

Displacement = + 50 m

Note that the backward motion of the swimmer would be taken as negative.

Therefore total displacement = 50 m

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